# Video Lectures

### Representation Theory & Categorification IV

In modern representation theory we often study the category of modules over an algebra, in particular its intrinsic and combinatorial structures. Vice versa one can ask the question: which categories have a given combinatorics? This is the basic...

### Representation Theory & Categorification III

In modern representation theory we often study the category of modules over an algebra, in particular its intrinsic and combinatorial structures. Vice versa one can ask the question: which categories have a given combinatorics? This is the basic...

### Representation Theory & Combinatorics of the Symmetry Group and Related Structures III

Monica Vazirani

With an eye toward coordinating with the advanced course, we will start with the representation theory of the symmetric group and related combinatorics. We will focus on the functors of induction and restriction. We will then consider related...

### Geometric Categorifications of the Hecke Algebra

Laura Rider

In the first part of this talk, I'll explain a geometric categorification of the Hecke algebra in terms of perverse sheaves on the flag variety. In the second part, we'll study the affine Hecke algebra. In this case, there are two categorical...

### Representation Theory & Categorification II

In modern representation theory we often study the category of modules over an algebra, in particular its intrinsic and combinatorial structures. Vice versa one can ask the question: which categories have a given combinatorics? This is the basic...

### Representation Theory & Combinatorics of the Symmetry Group and Related Structures II

Monica Vazirani

With an eye toward coordinating with the advanced course, we will start with the representation theory of the symmetric group and related combinatorics. We will focus on the functors of induction and restriction. We will then consider related...

### Representation Theory & Categorification

In modern representation theory we often study the category of modules over an algebra, in particular its intrinsic and combinatorial structures. Vice versa one can ask the question: which categories have a given combinatorics? This is the basic...

### Representation Theory & Combinatorics of the Symmetry Group and Related Structures

Monica Vazirani

With an eye toward coordinating with the advanced course, we will start with the representation theory of the symmetric group and related combinatorics. We will focus on the functors of induction and restriction. We will then consider related...

### Celebration of Women in Mathematics Interview with Dr. Monica Vazirani

Dr. Monica Vazirani

Dr. Monica Vazirani is a professor at UC Davis.  She received her PhD from UC Berkeley in 1999, after which she had an NSF postdoc she spent at UC San Diego and UC Berkeley, as well as postdoctoral positions at MSRI and Caltech.  Dr. Vazirani's...

### Uniform Rectifiability via Perimeter Minimization IV

Abstract: Quantitative geometric measure theory has played a fundamental role in the development of harmonic analysis, potential theory and partial differential equations on non-smooth domains. In general the tools used in this area differ greatly...