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The nonlinear stability of the Schwarzschild metric without symmetry

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.

Topology of resolvent problems

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.

Entanglement Wedge Reconstruction in Infinite-Dimensional Hilbert Spaces

Monica Jinwoo Kang
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.

Treelike Geometries and Fast Scrambling from Nonlocal Spin Models

Gregory Bentsen
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.