Student Arithmetic Seminar
Another introduction to Shtuka
Shtuka is an object that Drinfeld constructed to prove the GL2 case of Langlands over function field. Last year, I gave a talk on what a...
Financial/Actuarial Mathematics Seminar
Inverting the Markovian projection, with an application to local stochastic volatility models
This talk is about a class of two-dimensional stochastic differential equations (SDEs) of McKean--Vlasov type in which the conditional...
RTG Seminar on Geometry, Dynamics and Topology Seminar
Property (T), cocycle superrigidity and applications
We will talk about Zimmer's cocycle superrigidity theorems and some applications....
Algebraic Geometry Seminar
Vanishing theorems in algebraic geometry
Vanishing theorems in algebraic geometry, such as the Grauert-Riemenschneider vanishing theorem, are usually proven using crucial inputs...
Differential Equations Seminar
Propagation of singularities for gravity-capillary waves
The surface tension makes free surfaces of fluids instantaneously smooth. For 2D gravity-capillary water waves, this phenomenon has been...
Student Homotopy Theory Seminar
How to do algebra with categories
The goal of this talk is to show that there is a robust algebraic theory for categories, where for example, rings are replaced by monoidal...
Combinatorics Seminar
The “generating function” of configuration spaces, as a source for explicit formulas and representation stability
As countless examples show, sequences of complicated objects should be studied all at once via the formalism of generating functions. In...
Applied Interdisciplinary Mathematics (AIM) Seminar
Physical limits to sensing material properties
Constitutive relations describe how materials respond to external stimuli such as forces. All materials respond heterogeneously at small...
Student Commutative Algebra Seminar
Cohen's structure theorem in equal characteristic
I.S. Cohen's 1946 paper "On the structure and ideal theory of complete local rings" established strong classification...
Geometry Seminar
Rigidity theorems for actions of higher rank lattices.
We will talk about rigidity theorems for smooth actions of a higher rank lattice $\Gamma$ on compact manifolds following the philosophy of...
Preprint Algebraic Geometry Seminar
Freeness alone is insufficient for Manin-Peyre, following Sawin
Speaker(s): Mattias Jonsson (UM)
Student Combinatorics Seminar
Combinatorial proof of (Equivariant) Noetherianity
In this talk, I will briefly outline a combinatorial version of the proof of Hilbert's basis theorem using Dickson's lemma. This...
Complex Analysis, Dynamics and Geometry Seminar
Preperiodic points in families of rational maps, arithmetic equidistribution and a variation of heights
We discuss dynamical analogs of two seemingly unrelated questions from number theory. The first fits in the theme of ‘unlikely...
Group, Lie and Number Theory Seminar
Non-vanishing for cubic L-functions
Chowla conjectured that L(1/2,\chi) never vanishes, for $\chi$ any Dirichlet character. Soundararajan showed that more than 87.5 of the...
Colloquium Series Seminar
Singularity of random Bernoulli matrices
Let X_1,X_2,...,X_n be n mutually independent random vectors where each vector is uniformly distributed on vertices of the standard cube...
Algebraic Geometry Seminar
Perverse mod p sheaves on the affine Grassmannian
The geometric Satake equivalence can be viewed as both providing a canonical construction of the Langlands dual group and as a...
Commutative Algebra Seminar
Lex ideals corresponding to extended ideals and Hamilton numbers
The talk describes joint work with Tigran Ananyan. By a theorem of F.S. Macaulay, for any homogeneous ideal in a polynomial ring over a...
Special Events Seminar
Collegiate Professorship in Mathematics Inaugural Lecture
Speaker(s): Liliana Borcea (University of Michigan)
Algebraic Geometry Seminar
Prismatic cohomology of stacks and Totaro's inequality
Speaker(s): Dmitry Kubrak (MIT)
Professor Liliana Borcea, the Peter Field Collegiate Professorship in Mathematics, Inaugural Lecture
Mathematical and Computational Aspects of Imaging with Waves
Wave based imaging is an inverse problem for a wave equation or a system of equations with a wide range of applications in nondestructive...
Student Homotopy Theory Seminar
Adams Conjecture and Algebraic Geometry
Speaker(s): Shubhankar Sahai (University of Michigan)
Combinatorics Seminar
Metric thickenings and combinatorial applications
Any metric space can be thickened in a canonical way using the theory of optimal transport. This yields a family of thickenings that capture...
Student Commutative Algebra Seminar
TBA
Speaker(s): Reebhu Bhattacharyya (University of Michigan Ann Arbor)
Junior Colloquium Series Seminar
Starting my StartUp to Use Math to Fight Jet Lag (Invitation to Industry series)
Your body’s circadian clock is what makes you feel sleepy and alert at different times of the day, and disrupting the clock is what causes...
Preprint Algebraic Geometry Seminar
Extending holomorphic forms to a resolution of singularities, following Kebekus and Schnell
Speaker(s): Bradley Dirks (UM)
Colloquium Series Seminar
New invariants of homology cobordism
This is a talk about 3-manifolds and knots. We will begin by reviewing some basic constructions and motivations in low-dimensional topology,...
Financial/Actuarial Mathematics Seminar
A price formation mean-field game model.
Here, consider a constrained mean-field game where the price is determined by a supply vs. demand balance condition. We begin by examining...
Algebraic Geometry Seminar
A very simple proof of Voisin's theorem on canonical curves
The classical theorems of Noether and Petri on the ideals of canonically embedded curves are central in the theory of curves. In the 80s,...
Applied Interdisciplinary Mathematics (AIM) Seminar
Data Science, Time Complexity, and Spacekime Analytics
The immersion of Big Data in all human experiences presents important challenges of managing, modeling, analyzing, interpreting, and...
Combinatorics Seminar
The degree of a Grothendieck polynomial
Grothendieck polynomials are polynomials in n variables, indexed by permutations of n elements. They encode the K-theory of the flag...
Student Commutative Algebra Seminar
TBA
Speaker(s): Michael Mueller (University of Michigan Ann Arbor)
Preprint Algebraic Geometry Seminar
Families of divisors, following Kollar
Speaker(s): Dan Burns (UM)
