# Members Seminar

## Critical Hoelder exponents

## Existence theory of minimal hypersurfaces

## On Expressiveness and Optimization in Deep Learning

## The hidden landscape of localization

## Math for underprivileged high school kids

We will hear from two passionate creators of successful mentoring programs in math for high school kids in educationally challenged environments. They will give back-to-back talks about their experiences and educational insights.

## Representations of p-adic groups

I will survey what is known about the construction of (the building blocks of) representations of p-adic groups, mention recent developments, and explain some of the concepts underlying all constructions. In particular, I will introduce filtrations of p-adic groups and indicate some of their remarkable properties.

## Cocycles, Lyapunov exponents, localization

This talk will be an introduction to the methods used in the study of spectral properties of Schroedinger operators with a potential defined via the action of an ergodic transformation. Open problems relating to Lyapunov exponents over a skew shift base will be discussed.