### Student Geometry/Topology

#### Motivations for Symplectic Geometry

I plan to discuss some of the motivating factors that lead to the study of symplectic forms, as well as what continues to make the geometry...

### Student Commutative Algebra

#### Symmetric functions associated to matroids

Motivated by the rank function of a subspace arrangement, we will introduce symmetric functions associated to matroids. We will approach the...

### Student Algebraic Geometry

#### Kodaira vanishing and its failure in characteristic p

Kodaira vanshing states that on a smooth projective complex variety the higher cohomology of an ample line bundle twisted by the canonical...

### Financial/Actuarial Mathematics

#### Young Researchers' Workshop

We have a workshop this whole week for young researchers, advanced graduate students and post-docs. See...

### Algebraic Geometry

#### Geometry and topology of external and symmetric products: an equivariant approach

I will present refined generating series formulae for characters of cohomology representations of external products of suitable coefficients...

### Student Arithmetic

#### Relationship between Artin reciprocity and classical reciprocity

Let L/K be an abelian extension of global fields. In simple terms, the Artin reciprocity law gives an map from fractional ideals prime to...

### Commutative Algebra

#### An inequality about multiplicity of integrally closed ideals

Let R be a local ring and I an ideal of finite colength in R. We assume that I is integrally closed. In this talk, I will discuss an...

### Analysis/Probability Learning Seminar

#### Stochastic localization of measures (part 2)

The stochastic localization technique was first used by Eldan in 2012 to show that the optimal constants (with respect to the dimension) in...

### Topology

#### A new modular characterization of the hyperbolic plane

Several interesting metrics have been defined for Teichmueller spaces of hyperbolic surfaces. However, analogous metrics on the Teichmueller...

### Differential Equations

#### Proof of a Null Penrose Conjecture Using a New Quasi-Local Mass

We define an explicit quasi-local mass functional which is non-decreasing along all foliations (satisfying a convexity assumption) of...

### Logic

#### $\mathfrak p=\mathfrak t$

In a series of (hopefully at most) two talks, I will present the proof, due to Maryanthe Malliaris and Saharon Shelah in 2012, that the...

### Colloquium Series

#### String Duality and Mathematics

The relationship between mathematics and physics has a long history. Traditionally, mathematics provides the language physicists use to...

### Preprint Algebraic Geometry Seminar

#### Vanishing of the higher direct images of the structure sheaf (following Chatzistamatiou and Rulling)

https://arxiv.org/abs/1404.1827 Speaker(s): Takumi Murayama (UM)

### Applied Interdisciplinary Mathematics

#### Uncertainty in biomolecular solvation

Solvation-related interactions strongly influence a wide range of biomolecular processes. However, both our models and our information for...

### Combinatorics

#### Delta-matroids and Vassiliev invariants

Delta-matroids are matroid-like combinatorial structures introduced by A. Bouchet around 1980. The last decade saw a renewed interest in...

### Preprint Algebraic Geometry Seminar

#### Divergent Series and Serre's intersection formula for graded rings (following Erman)

https://arxiv.org/abs/1507.08928 Speaker(s): Matt Stevenson (UM)

### Group, Lie and Number Theory

#### Arithmetic of hyperelliptic curves over local fields

Let C:y^2 = f(x) be a hyperelliptic curve over a local field K of odd residue characteristic. We show how several arithmetic invariants of...

### Integrable Systems and Random Matrix Theory

#### Integrability, random matrices and Painleve in quantum chaos

Properties of a quantum system become universal in the fully chaotic limit, i.e. when the corresponding classical dynamics obey...

### Group, Lie and Number Theory

#### Parity of ranks of abelian surfaces

Let K be a number field and A/K an abelian surface (dimension 2 analogue of an elliptic curve). By the Mordell-Weil theorem, the group of...

### Colloquium Series

#### Around Grothendieck's theory of dessins d'enfants

This will be mainly an expository talk aiming to explain the correspondence introduced by...

### Financial/Actuarial Mathematics

#### PATH-DEPENDENT HAMILTON-JACOBI EQUATIONS WITH LOCALLY MONOTONE COEFFICIENTS IN INFINITE DIMENSIONS

We propose a notion of viscosity solutions for a class of fully nonlinear...

### RTG Seminar on Geometry, Dynamics and Topology

#### TBA

Speaker(s): Andrew Zimmer (University of Chicago)

### Financial/Actuarial Mathematics

#### Effective Risk Aversion in Thin Risk-Sharing Markets

We consider a market of a given vector of securities and finitely many financial agents, who are heterogeneous with respect to their risky...

### Algebraic Geometry

#### Kodaira-Saito vanishing via Higgs bundles in positive characteristic

In 1990, Saito gave a strong generalization of KodairaÃ¢â‚¬â„¢s vanishing theorem using his theory of mixed Hodge modules. In the first...

### Algebraic Geometry

#### Integral etale cohomology of non-Archimedean analytic spaces

In my work in progress on complex analytic vanishing cycles for formal schemes, I've defined integral "etale" cohomology groups of a compact...

### Applied Interdisciplinary Mathematics

#### Continuum theory of electrostatics with application to biological molecules

Electrostatic interactions are fundamental in colloidal and biological systems. Continuum models, such as the classical Poisson-Boltzmann...

### Financial/Actuarial Mathematics

#### Option Market Making with Competition

Option pricing models typically consider either monopolistic market makers, or infinite competition. Real markets, however, are often...

### Combinatorics

#### Honeycombs and Kronecker products

Kronecker coefficients are tensor product multiplicities for the irreducible representations of the symmetric group. Recently, Stembridge...

### Preprint Algebraic Geometry Seminar

#### Bertini irreducibility theorems over finite fields (following Charles and Poonen)

http://arxiv.org/abs/1311.4960 Speaker(s): Emanuel Reinecke (UM)

### SPECIAL EVENT

#### A Hollywood celebrity, the Bad Boy of Music, and the development of spread spectrum communications

When the United States entered WWII, a glamorous Hollywood actress and a renegade composer collaborated on a plan for a new type of weapon....

### Colloquium Series

#### Real structures on ordinary Abelian varieties

The moduli space for elliptic curves (or Abelian varieties) is a complex manifold which admits complex conjugation. The "real locus" turns...