# Video Lectures

Triangulated categories play an important role in symplectic topology. The aim of this talk is to explain how to combine triangulated structures with persistence module theory in a geometrically meaningful way. The guiding principle comes from the...

Earth-based radar observations in 2006–2019 enable the first measurement of the spin precession rate and moment of inertia of Venus. The observations also show that the spin period of the solid planet changes by tens of minutes. The length-of-day...

The Generalized Ramanujan Conjecture (GRC) for GL(n) is a central open problem in modern number theory. Its resolution is known to yield several important applications. For instance, the Ramanujan-Petersson conjecture for GL(2), proven by Deligne...

### Generalized affine Grassmannian slices, truncated shifted Yangians, and Hamiltonian reduction

Given a representation of a reductive group, Braverman-Finkelberg-Nakajima defined a Poisson variety called the Coulomb branch, using a convolution algebra construction. This variety comes with a natural deformation quantization, called a Coulomb...

For a finite group G one has a process of modular reduction which takes a KG-module, over a field K of characteristic zero, and produces a kG-module, over a field k of positive characteristic. Starting with a simple KG-module its modular reduction...

Reverse plane partitions - or RPPs for short - are order reversing maps of minuscule posets in types ADE. We report on joint work in progress with Elek, Kamnitzer, Libman, and Morton-Ferguson in which we give a type independent proof that RPPs form...

in joint work with Leonardo Patimo, we investigate the compatibility of

p-cells with respect to standard parabolic subgroups. Given a p-cell in

a standard parabolic subgroup of a crystallographic Coxeter system,

one can induce the...

I will review certain stabilization phenomena in the characteristic zero representation theory of general linear and symmetric groups as the rank tends to infinity. Then I will give a survey of some results and conjectures about analogs of these in...

Let G be a semi-simple algebraic group over an algebraically closed field k of positive characteristic and let B be a Borel subgroup. The cohomology of line bundles on the flag variety G/B induced by characters of B are important objects in the...

Algebraic topologists talk about an elevator from characteristic zero to characteristic p, with infinitely many floors in between called chromatic levels. I think you could "do representation theory" at any of these levels. I once tried to explore...