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        {
        "id":"143124-21892178",
        "datetime_modified":"20260304T174808",
        "datetime_start":"20260309T160000",
        "datetime_end":"20260309T170000",
        "has_end_time":1,
        "date_start":"2026-03-09",
        "date_end":"2026-03-09",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"An introduction to Dirac geometry and reduction schemes for concurrent Dirac structures.",
        "occurrence_title":"",
        "combined_title":"An introduction to Dirac geometry and reduction schemes for concurrent Dirac structures.: Alessandro Arsie (The University of Toledo)",
        "event_subtitle":"Alessandro Arsie (The University of Toledo)",
        "event_type":"Livestream \/ Virtual",
        "event_type_id":"24",
        "description":"I will provide first a gentle introduction to Dirac geometry, which is a way to unify pre-symplectic and Poisson geometry, as well as turning possibly singular Poisson structures into a perfectly smooth object. \n\nAfter this, I will consider a particular situation of transferring Dirac structures which is the following:\ngiven an embedded submanifold X of a Dirac manifold (M, L_M) and given p: X -> Y a smooth surjective submersion, we want to derive the minimal set of conditions to transfer the Dirac structure L_M on M to a Dirac structure L_Y on Y. These conditions are however not compatible with concurrence, which is a generalization for Dirac structures of the notion of commuting Poisson pairs. \n\nThen I will characterize a geometric structure, more precisely a vector bundle E\\subset TM|_X that is a \\emph{witness} for concurrence: it allows to transfer weakly concurrent Dirac structures on M to weakly concurrent Dirac structures on Y. We show that the Marsden-Ratiu reduction in Poisson geometry is exactly a special case of this construction. Furthermore, in the presence of a Hamiltonian action of a Lie group G on L_M, there is a natural candidate for a witness E. \n\nThe main results carry over to the case of complex Dirac structures. This allows us to give an extension of the bi-Hamiltonian reduction of Casati, Magri e Pedroni in terms of our framework and provide a (conjectural) interpretation of it in terms of complex Dirac structures. \n\nThis talk is based on a joint work with Dan Aguero, Pedro Frejlich and Igor Mencattini.",
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        "id":"143319-21892899",
        "datetime_modified":"20260301T210529",
        "datetime_start":"20260309T160000",
        "datetime_end":"20260309T170000",
        "has_end_time":1,
        "date_start":"2026-03-09",
        "date_end":"2026-03-09",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"GLNT: Eigenvarieties over CM fields and Galois representations",
        "occurrence_title":"",
        "combined_title":"GLNT: Eigenvarieties over CM fields and Galois representations: Vaughan McDonald (Stanford)",
        "event_subtitle":"Vaughan McDonald (Stanford)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Eigenvarieties are parameter spaces for certain p-adic automorphic forms of varying weight. These objects have become increasingly popular for studying the Fontaine\u2014Mazur conjecture, which leads us to ask what kinds of Galois representations appear on eigenvarieties. Our main result shows that for eigenvarieties for the group GL_n over a CM field, the associated Galois representations are trianguline at all p-adic places, resolving a conjecture of Hansen (following Kisin, Colmez, Bellaiche\u2014Chenevier). The strategy of proof (which could be of independent interest) is to embed eigenvarieties for GL_n into an eigenvariety for a 2n-variable unitary group.",
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    ,        {
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        "datetime_modified":"20260301T160025",
        "datetime_start":"20260310T160000",
        "datetime_end":"20260310T170000",
        "has_end_time":1,
        "date_start":"2026-03-10",
        "date_end":"2026-03-10",
        "time_start":"16:00:00",
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        "time_zone":"America\/Detroit",
        "event_title":"Colloquium: From face numbers to Frobenius",
        "occurrence_title":"",
        "combined_title":"Colloquium: From face numbers to Frobenius: Eric Katz, Ohio State University",
        "event_subtitle":"Eric Katz, Ohio State University",
        "event_type":"Lecture \/ Discussion",
        "event_type_id":"13",
        "description":"In 1971, McMullen conjectured a characterization of the face numbers of convex simplicial polytopes. This conjecture, dubbed the \u201cg-conjecture\u201d, was resolved over the following ten years by work of Stanley and Billera\u2013Lee. The extension of this conjecture to simplicial spheres remained open much longer. We will discuss the ingenious characteristic 2 proof given by Papadakis\u2013Petrotou in 2020 and provide a unifying framework for it in commutative algebra. This is joint work in progress with Adiprasito, Papadakis, Petrotou, and Oba.",
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        "tags":["Mathematics"],
        "website":"https:\/\/people.math.osu.edu\/katz.60\/",
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    ,        {
        "id":"146216-21898666",
        "datetime_modified":"20260305T022516",
        "datetime_start":"20260311T040000",
        "datetime_end":"20260311T050000",
        "has_end_time":1,
        "date_start":"2026-03-11",
        "date_end":"2026-03-11",
        "time_start":"04:00:00",
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        "time_zone":"America\/Detroit",
        "event_title":"Probability\/Analysis Circle: What is the Toda Lattice?",
        "occurrence_title":"",
        "combined_title":"Probability\/Analysis Circle: What is the Toda Lattice?: Peter Miller",
        "event_subtitle":"Peter Miller",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"To briefly answer the question in the title, the Toda lattice is a system of particles connected with springs having an exponential force law.  It turns out that the exponential force law is very special, allowing one to completely describe the dynamics of the system.  In this talk, we will solve the Toda lattice explicitly in the case of two particles, and describe the long-term dynamics of the system by analyzing the solution.  Then we will show how the method can be generalized so that any number of particles can be handled with similar precision.  The general method involves a surprising connection with linear algebra.",
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    ,        {
        "id":"143141-21892306",
        "datetime_modified":"20260304T203826",
        "datetime_start":"20260311T153000",
        "datetime_end":"20260311T165000",
        "has_end_time":1,
        "date_start":"2026-03-11",
        "date_end":"2026-03-11",
        "time_start":"15:30:00",
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        "time_zone":"America\/Detroit",
        "event_title":"Algebraic Geometry Seminar: Special valuations and automorphisms of affine log Calabi-Yau varieties",
        "occurrence_title":"",
        "combined_title":"Algebraic Geometry Seminar: Special valuations and automorphisms of affine log Calabi-Yau varieties: Yuchen Liu (Northwestern)",
        "event_subtitle":"Yuchen Liu (Northwestern)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"The notion of special valuations, i.e. finitely generated valuations inducing klt degenerations, plays an important role in the recent study of K-stability and moduli of Fano varieties. Given an affine log Calabi-Yau variety U, we show that its special skeleton, namely the space of special valuations in the dual complex of U, is independent of the choice of its Fano compactifications. Consequently, the special skeleton of U is invariant under the action of Aut(U). As an example, when U is the complement of a Markov cubic surface in the affine three-space, we show that the action of three Vieta involutions on the special skeleton exhibits a surprising connection with dynamics on the hyperbolic plane.",
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    ,        {
        "id":"138273-21882703",
        "datetime_modified":"20260226T132636",
        "datetime_start":"20260311T160000",
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        "has_end_time":1,
        "date_start":"2026-03-11",
        "date_end":"2026-03-11",
        "time_start":"16:00:00",
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        "time_zone":"America\/Detroit",
        "event_title":"2026 Ford Motor Company Distinguished Lecture in Physics | Organic Semiconductors \u2013 From OLED displays to new applications",
        "occurrence_title":"",
        "combined_title":"2026 Ford Motor Company Distinguished Lecture in Physics | Organic Semiconductors \u2013 From OLED displays to new applications: Richard Friend, Professor of Physics (Cavendish Laboratory, University of Cambridge)",
        "event_subtitle":"Richard Friend, Professor of Physics (Cavendish Laboratory, University of Cambridge)",
        "event_type":"Presentation",
        "event_type_id":"16",
        "description":"Lecture Abstract: Organic molecules with semiconducting properties are now used as the light-emitting diodes, LEDs, in organic LEDdisplays. These are now the dominant technologies for high-performance displays used in smartphones and televisions, but their potential applications are far broader, from solar cells to printable electronics to bio-interfaces. I will describe some of the journey from early discoveries to practical display technology, and outline some of our current research on the new phenomena these materials can exhibit, including their use as optically-accessed quantum sensors.\n\nFind out more about Professor Richard Friend by visiting our Ford Lecture event page at https:\/\/myumi.ch\/g35nR.\n\nThis lecture will be held in person and livestreamed: https:\/\/youtu.be\/P6lg1HTqkW8",
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        "tags":["AEM Featured","College Of Engineering","Faculty","Free","Graduate Students","Lecture","Lifelong Learning","Natural Sciences","Physics","seminar","Smoke-free","Undergrad Physics Events","Undergraduate Students"],
        "website":"https:\/\/lsa.umich.edu\/physics",
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        "id":"138587-21883421",
        "datetime_modified":"20260201T230754",
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        "time_zone":"America\/Detroit",
        "event_title":"Outperforming a Benchmark with $\\alpha$-Bregman Wasserstein divergence",
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        "combined_title":"Outperforming a Benchmark with $\\alpha$-Bregman Wasserstein divergence: Silvana Pesenti, Toronto",
        "event_subtitle":"Silvana Pesenti, Toronto",
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        "event_type_id":"21",
        "description":"We consider the problem of active portfolio management, where an investor seeks the portfolio with maximal expected utility of the difference between the terminal wealth of their strategy and a proportion of the benchmark's, subject to a budget, and a deviation constraint from the benchmark portfolio.\nAs the investor aims at outperforming the benchmark, they choose a divergence that asymmetrically penalises gains and losses as well as penalises underperforming the benchmark more than outperforming it. This is achieved by the recently introduced $\\alpha$-Bregman-Wasserstein divergence, subsuming the Bregman-Wasserstein and the popular Wasserstein divergence. We prove existence and uniqueness, characterise the optimal portfolio strategy, and give explicit criteria when the divergence constraints and the budget constraints are binding. We conclude with a numerical illustration of the optimal quantile function in a geometric Brownian motion market model.",
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        "description":"Several recent proofs of unimodality theorems in combinatorics rely on unexpected identities satisfied by the volume map on combinatorially defined algebras over fields of characteristic p. The proof of unimodality for the h-vector of simplicial spheres by Papadakis\u2013Petrotou and for the h^*-vector of IDP and Gorenstein lattice polytopes by Adiprasito\u2013Papadakis\u2013Petrotou both fit into this framework. In this talk, we reinterpret the volume map from the perspective of commutative algebra and explain the origin of these identities. This viewpoint yields short proofs and suggests new research directions. This is joint work with Adiprasito, Oba, Papadakis, and Petrotou.",
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        "description":"Abstract:  Many biophysical processes can be accurately modeled as a system stochastically exploring a discrete and connected network of possible states. Probability distributions over this space are not only subject to the system's intrinsic noisy dynamics, but may also be influenced by externally imposed perturbations. While results such as the Fluctuation-Dissipation Theorem allow for a precise understanding of how such perturbations may affect observable quantities on the system, these only properly function at equilibrium. Here, we explore the case of perturbations on nonequilibrium stochastic systems and derive a new response formula based on the Matrix-Tree Theorem approach. In particular, we derive the tightest possible linear bounds to sensitivity in arbitrary observables based on only the topology of the state network. These bounds stem from achetypical primitive models we call \"uniquely constructable sets\" that dictate the system properties under extreme conditions. As an exploratory example, we investigate a model of a macromolecule with three ligand binding sites to showcase how the uniquely constructable sets can be used to find all possible variations that are capable of maximizing the sensitivity of the number of bound sites relative to the external ligand concentration.\n\nContact:  AIM Seminar Organizers",
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        "event_title":"Student Algebraic Geometry: Calabi-Yau varieties, essential skeleta, and Berkovich spaces",
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        "description":"Associated to a Calabi--Yau (e.g. abelian varieties, K3 surfaces), one can associate an essential skeleton, which lives in the Berkovich analytification of the Calabi--Yau. This skeleton originates from mirror symmetry and captures geometrical and topological information of the Calabi--Yau. For example, it is related to the birational geometry of the Calabi--Yau, and in some situations the Calabi--Yau admits a Lagrangian fibration over this skeleton. \nWe will only assume knowledge of the definition of Calabi--Yaus and will introduce by examples.",
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        "event_title":"Saturday Morning Physics | Magnets and Amplitudes: A Glimpse into the Quantum Realm",
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        "description":"Abstract: Plabic graphs were introduced by Postnikov in order to study a stratification of the totally nonnegative Grassmannian. To each plabic graph, one can associate a quiver, which is a directed graph that encodes a cluster algebra, as well as a link. In this thesis, we study invariants of these links, called plabic links, and their connections to the plabic graphs' quivers. \n\nWe focus primarily on forest quivers, which are quivers whose underlying graphs are forests. We define the HOMFLY polynomial of a forest quiver and show that it agrees with the HOMFLY polynomial of any plabic link coming from a connected plabic graph whose quiver is that forest quiver. We define this polynomial recursively and also prove a closed formula for it. We will also comment on a way to extend the definition of part of this polynomial to some other acyclic quivers. Finally, we discuss the Khovanov-Rozansky homology of certain plabic links associated to forest quivers and describe how to recursively compute it for a subset of these links.",
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        "event_title":"Fast Summation for Geophysical Fluid Dynamics",
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        "description":"Abstract: \n\nGeophysical fluid dynamics is the study of fluids on the sphere in which  the Coriolis force plays an important role, and is of great interest and importance, both theoretically and practically, as the foundation of modern weather and climate modeling. Many problems in geophysical fluid dynamics can be formulated in a way to take advantage of convolutions and fast summation techniques, which are methods for approximating integral transforms quickly.\n\nThe thesis starts by presenting a Cubed Sphere Fast Multipole Method (CSFMM) that is suitable for $O(N)$ fast summation on the sphere, adapting techniques from the Barycentric Lagrange Tree Code and the Barycentric Lagrange Dual Tree Traversal Fast Multipole Method for use for problems with spherical geometry, and showing a number of speed up and error results, demonstrating that the CSFMM is both fast and accurate for a variety of different problems. This technique is then applied to three different problems.\n\nThe first problem is that of computing Self Attraction and Loading in ocean models, an important term encompassing physical effects relating to the gravitation of water and the elastic deformation of the Earth. The computation of Self Attraction and Loading has been challenging in the past, mainly being computed using a scalar approximation or using spherical harmonics. This thesis demonstrates a new technique for computing the Self Attraction and Loading by deriving a new integral kernel for the problem, before then discussing the implementation of this convolution and CSFMM in the Modular Ocean Model.\n\nThe next problem is that of solving the Barotropic Vorticity Equation with a Lagrangian Particle Method. This equation describes the conservation of potential vorticity for a two dimensional incompressible inviscid fluid on a rotating sphere. The fluid velocity can be related to the vorticity through a Biot-Savart law, and when discretized using a Lagrangian particle Method, the dynamics naturally admit a formulation as a $N$-body problem, to which we apply the CSFMM. The accuracy and speed of this technique is tested, before using the method to explore a variety of problems.\n\nLastly, the previous solver is extended to work for the Shallow Water Equations, an equation set which in addition to vorticity effects, also allows for fluid divergence. For this problem, the Biot-Savart law is more complicated, incorporating both vorticity and divergence. This solver is then tested on a range of test cases to check for accuracy. Additionally, this solver is designed for portability, including with graphical processing units, allowing for significant speedups.",
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        "event_title":"Colloquium: Accelerating Earth system simulation",
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        "datetime_modified":"20260204T130217",
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        "time_zone":"America\/Detroit",
        "event_title":"Bid-Ask Martingale Optimal Transport",
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        "combined_title":"Bid-Ask Martingale Optimal Transport: Valentin Tissot-Daguette, Bloomberg",
        "event_subtitle":"Valentin Tissot-Daguette, Bloomberg",
        "event_type":"Workshop \/ Seminar",
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        "description":"Martingale Optimal Transport (MOT) provides a framework for robust pricing and hedging of illiquid derivatives. Classically, MOT enforces exact calibration of model marginals to mid-prices of vanilla options, ignoring the uncertainty of bid-ask spreads and thus underestimating model risk. To address this, we introduce Bid-Ask Martingale Optimal Transport (BAMOT), where model marginals are constrained by distinct bid and ask distributions via convex order. We establish strong duality and prove convergence to the MOT limit as spreads vanish, quantifying the rate using the novel \"bid-ask distance\". We support our findings with examples, and finally discuss avenues for future research.\n\nJoint work with Bryan Liang (Bloomberg), Marcel Nutz (Columbia), and Shunan Sheng (Columbia).",
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        "datetime_modified":"20260125T202826",
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        "event_title":"Algebraic Geometry Learning Seminar: Admissible resolutions",
        "occurrence_title":"",
        "combined_title":"Algebraic Geometry Learning Seminar: Admissible resolutions: Hyunsuk Kim",
        "event_subtitle":"Hyunsuk Kim",
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        "description":"Discuss the material in Section 4 of the paper. The main goals are to explain the statement of Theorem 3.15, to sketch the ideas in the proof, and to give some examples.",
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        "event_title":"On Fox\u2019s trapezoidal conjecture (Combinatorics Seminar)",
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        "combined_title":"On Fox\u2019s trapezoidal conjecture (Combinatorics Seminar): Karola M\u00e9sz\u00e1ros (Cornell)",
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        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Fox\u2019s trapezoidal conjecture from 1962 states that the absolute values of the coefficients of the Alexander polynomial of alternating links form a trapezoidal sequence. Stoimenow strengthened Fox\u2019s conjecture to log-concavity (without internal zeros) in 2005. Fox\u2019s conjecture remains open in general with special cases settled by Hartley (1979) for two-bridge knots, by Murasugi (1985) for a family of algebraic alternating links, and Ozsvath and Szabo (2003) for genus 2 alternating knots, among others. We will show how to prove Fox\u2019s conjecture for special alternating links by lifting the Alexander polynomials of these links to\"nice\u201d multivariate polynomials with 0,1 coefficients. The terms of the lift correspond to integer points of a generalized permutahedron, allowing for an application of the theory of Lorentzian polynomials developed by Branden and Huh (2019). This talk is based on joint works with Hafner and Vidinas.",
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        "datetime_modified":"20260304T095200",
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        "event_title":"AIM Seminar:  Particle Mechanics Applications to Hazards in Civil Engineering",
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        "combined_title":"AIM Seminar:  Particle Mechanics Applications to Hazards in Civil Engineering: Est\u00e9fan Garcia (University of Michigan)",
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        "event_type":"Lecture \/ Discussion",
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        "description":"Abstract:  Many of the natural hazards that threaten infrastructure and communities are driven by particulate interactions and particle kinematics. Land surface hazards like landslides and earthquake surface rupture occur in particulate systems of sands and rocks. Coastal scour and erosion occur one grain of sand at a time. Even wildfire spread into communities at the wildland urban interface occurs through the wind-driven flow of millions of discrete firebrand particles. This presentation will showcase how our research group represents various hazards as fundamentally discontinuous particulate systems using the discrete element method (DEM). DEM uses relatively simple contact physics to model how discrete particles interact and the motions of these particles resulting from their interactions. With the aid of modern high-performance computing systems, we model discontinuous systems composed of millions of discrete particles, including particles of irregular shape and size to elucidate how these factors affect the macroscopic properties traditionally used to characterize material behaviors in constitutive models. Our simulations show how with simple boundary conditions, we can replicate complex mechanics of landslide runout, shear rupture propagation through soil, and firebrand accumulation in simulations validated not only on laboratory experiments but also on observed case histories. Our virtual experiments advance the understanding of natural hazards in a broad range of fields including civil engineering, mechanics, geology, and seismology. \n\nContact:  Silas Alben",
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        "event_title":"GLNT: TBA",
        "occurrence_title":"",
        "combined_title":"GLNT: TBA: Kenz Kallal (Princeton)",
        "event_subtitle":"Kenz Kallal (Princeton)",
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        "description":"Abstract: TBA",
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        "datetime_modified":"20260301T160351",
        "datetime_start":"20260324T160000",
        "datetime_end":"20260324T170000",
        "has_end_time":1,
        "date_start":"2026-03-24",
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        "time_zone":"America\/Detroit",
        "event_title":"Colloquium: Homological stability of moduli spaces",
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        "combined_title":"Colloquium: Homological stability of moduli spaces: Dan Petersen, Stockholm University",
        "event_subtitle":"Dan Petersen, Stockholm University",
        "event_type":"Lecture \/ Discussion",
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        "description":"Homological stability has emerged over the past decades as an organizing principle in topology and beyond. Broadly speaking, many sequences of moduli spaces exhibit the striking phenomenon that their homology stabilizes as the underlying complexity grows. One of the most remarkable achievements of this paradigm is the proof of the Mumford conjecture by Madsen and Weiss, which identifies the stable rational cohomology of the moduli space of algebraic curves. This resolves a question of central importance in algebraic geometry and geometric group theory; all existing proofs use significant amounts of homotopy theory. In this lecture I will survey some ideas behind homological stability and the ubiquity of stability phenomena, and discuss consequences and applications, particularly in algebraic geometry and number theory.",
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    ,        {
        "id":"141934-21889651",
        "datetime_modified":"20260228T101529",
        "datetime_start":"20260325T153000",
        "datetime_end":"20260325T165000",
        "has_end_time":1,
        "date_start":"2026-03-25",
        "date_end":"2026-03-25",
        "time_start":"15:30:00",
        "time_end":"16:50:00",
        "time_zone":"America\/Detroit",
        "event_title":"Michigan Lectures in Algebraic Geometry and Topology: Stable homology of moduli spaces and moments in families of L-functions over function fields",
        "occurrence_title":"",
        "combined_title":"Michigan Lectures in Algebraic Geometry and Topology: Stable homology of moduli spaces and moments in families of L-functions over function fields: Dan Petersen (Stockholm U.)",
        "event_subtitle":"Dan Petersen (Stockholm U.)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"In recent years, several problems in arithmetic statistics that seem completely intractable over number fields, have been resolved in the case of function fields by geometric methods; more specifically, by casting the problem in terms of the homology of a suitable moduli space of algebraic curves, and understanding the homology asymptotically. Perhaps the most notable is the work of Ellenberg-Venkatesh-Westerland and Landesman-Levy on Cohen-Lenstra heuristics. \n\nI will talk about joint work with Bergstr\u00f6m-Diaconu-Westerland and Miller-Patzt-Randal-Williams, where this paradigm is applied to another problem in analytic number theory. There is a \"recipe\" due to Conrey-Farmer-Keating-Rubinstein-Snaith (CFKRS) which allows for precise predictions for the asymptotics of moments of many different families of L-functions. We consider the family of all L-functions attached to hyperelliptic curves over some fixed finite field, in which case we are able to prove the CFKRS predictions for all moments, for all sufficiently large (but fixed) q.\nWe do this by studying the homology of the moduli space of hyperelliptic curves, with symplectic coefficients: we compute the stable homology groups, together with their structure as Galois representations, and prove a novel homological stability theorem in this setting. The proofs use homotopical ideas developed in connection with the Mumford conjecture, Borel's work on stable real cohomology of arithmetic groups, logarithmic algebraic geometry, and cellular E_k-algebras.",
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        "id":"138042-21881387",
        "datetime_modified":"20260224T133411",
        "datetime_start":"20260325T160000",
        "datetime_end":"20260325T170000",
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        "date_start":"2026-03-25",
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        "time_zone":"America\/Detroit",
        "event_title":"Mean\u2013Variance Portfolio Selection by Continuous-Time Reinforcement Learning: Algorithms, Regret Analysis, and Empirical Study",
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        "combined_title":"Mean\u2013Variance Portfolio Selection by Continuous-Time Reinforcement Learning: Algorithms, Regret Analysis, and Empirical Study: Xunyu Zhou, Columbia University",
        "event_subtitle":"Xunyu Zhou, Columbia University",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"We study continuous-time mean\u2013variance portfolio selection in markets where stock prices are diffusion processes driven by observable factors that are also diffusion processes, yet the coefficients of these processes are unknown. Based on the recently developed reinforcement learning (RL) theory for diffusion processes, we present a general data-driven RL algorithm that learns the pre-committed investment strategy directly without attempting to learn or estimate the market coefficients. For multi-stock Black\u2013Scholes markets without factors, we further devise a baseline algorithm and prove its performance guarantee by deriving a sublinear regret bound in terms of the Sharpe ratio. We then carry out an extensive empirical study implementing this algorithm to compare its performance and trading outcomes, evaluated under a host of common metrics, with a large number of widely employed portfolio allocation strategies on S&P 500 constituents. The results demonstrate that the proposed continuous-time RL strategy is consistently among the best, especially in a volatile bear market, and decisively outperforms the model-based continuous-time counterparts by significant margins. Joint work with Yilie Huang and Yanwei Jia.",
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