### 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)