# School of Mathematics

## Harmonic maps into singular spaces

harmonic maps into singular spaces, in particular Euclidean buildings,

in order to understand p-adic superrigidity. The study was quickly

generalized in a number of directions by a number of authors. This

talk will focus on the work initiated by Korevaar and Schoen on

harmonic maps into metric spaces with curvature bounded above in the

sense of Alexandrov. I will describe the variational characterization

## A matrix expander Chernoff bound

## Morrey Saces and Regularity for Yang-Mills Higgs Equations

## Slopes in eigenvarieties for definite unitary groups

## Quantum Chaos and Effective Field Theory

**Please Note:** This workshop is not open to the general public, but only to active researchers.

This workshop will focus on quantum aspects of black holes, focusing on applying ideas from quantum information theory.

This meeting is sponsored by the “It from Qubit collaboration” and is followed by the collaboration meeting in New York City.

## Global results related to scalar curvature and isoperimetry

## Recent Progress on Zimmer's Conjecture

## Mean action of periodic orbits of area-preserving annulus diffeomorphisms

## Branched conformal structures and the Dyson superprocess

In the early 1920s, Loewner introduced a constructive approach to the Riemann mapping theorem that realized a conformal mapping as the solution to a differential equation. Roughly, the “input” to Loewner’s differential equation is a driving measure and the “output” is a family of nested, conformally equivalent domains. This theory was revitalized in the late 1990s by Schramm. The Schramm-Loewner evolution (SLE) is a stochastic family of slit mappings driven by Loewner’s equation when the driving measure is an atom executing Brownian motion.