AIM Seminar: Transforming Butterflies into Graphs: Statistics of Chaotic and Turbulent Systems
Andre Souza, MIT, Department of Earth, Atmospheric and Planetary Sciences
We formulate a data-driven method for constructing finite volume discretizations of a dynamical system's underlying Continuity /...
Equivariant cohomology
Calvin Yost-Wolff
Equivariant cohomology attaches to a G-equivariant sheaf \mathcal{F} on a variety X with a G action a set of invariants...
Combinatorics Seminar - From Scattering Amplitudes to Catalan combinatorics
Nick Early
In this talk, I will give a gentle overview of recent developments at the intersection of combinatorics, real, complex and tropical geometry...
GEOMETRY: Hidden Sp(1)-symmetry and brane quantization on hyperKähler manifolds
Yu Tung Yau
In a joint work with Conan Leung, we found a natural but hidden Sp(1)-action on the space of L-valued forms on a hyperKähler manifold X...
ISRMT Seminar: Large deviations for the deformed polynuclear growth
Yuchen Liao (University of Wisconsin-Madison)
The polynuclear growth model (PNG) is a prototypical example of random interface growth among the Kardar-Parisi-Zhang universality class. In...
Commutative Algebra Seminar: Equivariant commutative algebra in positive characteristic
Karthik Ganapathy (UMich)
In the presence of a large group action, even non-noetherian rings sometimes behave like noetherian rings. For example, Cohen proved that...
RTG Number Theory: Internal structure of L-packets for p-adic groups
Razan Taha
Abstract: The local Langlands correspondence predicts that there is a finite-to-one map between the set of irreducible, admissible...
Colloquium: Effects of Network Structure on Spreading of Innovations
Gadi Fibich, Tel Aviv University
Spreading (diffusion) of new products is a classical problem. Traditionally, it has been analyzed using the compartmental Bass model, which...
Math Undergraduate Seminar: What makes a reciprocity law?
Adam Earnst
First proved by Gauss, the law of quadratic reciprocity is one of the most beautiful theorems in number theory, with over a hundred distinct...
Algebraic Geometry Seminar: Minimal Model Program for Generalized Pairs and Foliations
Lingyao Xie (U. Utah)
The Minimal Model Program aims to classify all algebraic varieties X (up to birational equivalence) via three building blocks: Fano...
Ten Lectures on Schubert Polynomials: Lecture I
William Fulton (UM)
This first lecture will concentrate on double Schubert polynomials, as preparation for the back-stable generalizations which will be the...
NTRG: Automorphic Representations
We will be discussing Getz-Hahn's "Introduction to Automorphic Representations."
Combinatorics Seminar: Quantum Bruhat graphs and tilted Richardson varieties
Shiliang Gao
A two-point curve neighborhood is the union of degree d rational curves that pass through two given Schubert varieties in the flag variety....
Algebraic Geometry Learning Seminar: Definable analytic spaces and GAGA I
Mircea Mustata (Michigan)
TBA
Comparison of viscosity solutions for a class of second order PDEs on the Wasserstein space
Ibrahim Ekren, UM
We prove a comparison result for viscosity solutions of second order parabolic partial differential equations in the Wasserstein space. The...
Math Undergraduate Seminar: Knot Theory (Knot Rigorously)
Daniel Cross
To do knot theory formally, you have to introduce a lot of tools from algebraic topology (it's not easy!). That being said, we can say...
Algebraic Geometry Seminar: Vanishing theorems and the minimal model program with scaling for projective morphisms of excellent schemes, algebraic spaces, and analytic spaces
Takumi Murayama (Purdue)
In 1953, Kodaira proved what is now called the Kodaira vanishing theorem, which states that if L is an ample divisor on a complex projective...
NTRG: Automorphic Representations
We will be discussing Getz-Hahn's "Introduction to Automorphic Representations."
AIM Seminar: Methods for Numerical Simulations of Soft Actively Contractile Materials in Engineering and Nature
Nakhiah Goulbourne, University of Michigan, Department of Aerospace Engineering
Soft materials that can demonstrate on demand configurability and compliance are highly sought in fields such as soft robotics. Whilst there...
Asymptotic Analysis of Deep Residual Networks and Convergence of Gradient Descent Methods
Renyuan Xu, USC
Residual networks (ResNets) have displayed impressive results in pattern recognition and, recently, have garnered considerable theoretical...
Math Undergraduate Seminar: Power Sums of Primes in Arithmetic Progression
Zhangze Li
Let $\pi(x)=\sum\limits_{p\le x} 1$ be the prime counting function and for $k \in \mathbb{R}$ define...
AIM Seminar: On the Positive Definiteness of Response Functions in the Time Domain
Emanuel Gull, University of Michigan, Department of Physics
Response functions of quantum systems, such as electron Green’s functions, magnetic, or charge susceptibilities, describe the response of...
2023 Annual Ford Lecture in Physics | Secrets of Einstein's Equation
Sean Carroll, Homewood Professor of Natural Philosophy (Johns Hopkins University)
Albert Einstein is indelibly associated with a famous equation: E=mc^2, relating the mass of an object to its energy. But that is not what...
ISRMT seminar: Moment matrix and C-Toda lattice hierarchy
Guo-Fu Yu (Shanghai Jiao Tong University)
In this talk, we focus on the reduction of the 2-dimensional Toda hierarchy. Based on the Gauss-Borel decomposition of the moment matrix and...
Multistage distributionally robust optimization with adapted Wasserstein distance
Rui Gao
In this talk, we will discuss multistage distributionally robust optimization in which the uncertainty set of stochastic processes is...