## Surprising Impacts of Gravity Waves

Jim Fuller

California Institute of Technology

December 10, 2019

Sushant Sachdeva

University of Toronto; Member, School of Mathematics

December 9, 2019

Emmy Murphy

Northwestern University; von Neumann Fellow, School of Mathematics

December 9, 2019

Symplectic geometry, and its close relative contact geometry, are geometries closely tied to complex geometry, smooth topology, and mathematical physics. The h-principle is a general method used for construction of smooth geometric objects satisfying various underdetermined properties. In the symplectic context, h-principles typically give constructions of surprising exotica, and methods for detecting the basic flexible objects. We survey a number of results from the previous decade.

Tim Laux

University of California, Berkeley

December 9, 2019

Due to its importance in materials science where it models the slow relaxation of grain boundaries, multiphase mean curvature flow has received a lot of attention over the last decades.

Benson Farb

University of Chicago

December 6, 2019

In this talk I will describe a topological approach to some problems about algebraic functions due to Klein and Hilbert. As a sample application of these methods, I will explain the solution to the following problem of Felix Klein: Let $\Phi_{g,n}$ be the algebraic function that assigns to a (principally polarized) abelian variety its $n$-torsion points. What is the minimal $d$ such that, after a rational change of variables, $\Phi_{g,n}$ can be written as an algebraic function of $d$ variables? This is joint work with Mark Kisin and Jesse Wolfson.

Nina Holden

ETH Zuerich

December 6, 2019

Mihalis Dafermos

Princeton University

December 6, 2019

I will discuss an upcoming result proving the full finite-codimension non-linear asymptotic stability of the Schwarzschild family as solutions to the Einstein vacuum equations in the exterior of the black hole region.

No symmetry is assumed. The work is based on our previous understanding of linear stability of Schwarzschild in double null gauge. Joint work with G. Holzegel, I. Rodnianski and M. Taylor.

Jesse Wolfson

University of California, Irvine

December 5, 2019

Suzanne Akbari

December 4, 2019

Ahmed Almheiri

December 4, 2019

**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.