Morrey Saces and Regularity for Yang-Mills Higgs Equations

Karen Uhlenbeck
School of Mathematics
December 7, 2018
We start with background on regularity theory for the equations of gauge theory. Morrey spaces arise naturally from monotinicity theorems in dimensions greater than 4. Our main technical result is that functions in a Morrey space which satisfy an elliptic inequality off a singular set of Hausdorf codimension 4 can be bounded in a much better Morrey space in the interior.

Slopes in eigenvarieties for definite unitary groups

Lynnelle Ye
Harvard University
December 6, 2018
The study of eigenvarieties began with Coleman and Mazur, who constructed the first eigencurve, a rigid analytic space parametrizing $p$-adic modular Hecke eigenforms. Since then various authors have constructed eigenvarieties for automorphic forms on many other groups. We will give bounds on the eigenvalues of the $U_p$ Hecke operator appearing in Chenevier's eigenvarieties for definite unitary groups. These bounds generalize ones of Liu-Wan-Xiao for dimension $2$, which they used to prove a conjecture of Coleman-Mazur-Buzzard-Kilford in that setting, to all dimensions.

Entanglement Wedge Reconstruction and the Hayden-Preskill Protocol

Ahmed Almheiri
IAS
December 5, 2018

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.

Constraining Correlation Functions using Modular Theory

Nima Lashkari
December 5, 2018

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.

Open Strings on the Rindler Horizon

Edward Witten
IAS
December 5, 2018

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.

Comments about TTbar and SYK

Herman Verlinde
December 5, 2018

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.

Recovering the QNEC from the ANEC

Thomas Faulkner
December 5, 2018

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.

Black Hole Entropy and Soft Hair

Andrew Strominger
December 5, 2018

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

Otis Chodosh
Princeton University; Veblen Research Instructor, School of Mathematics
December 4, 2018
I will first survey some recent progress on global problems related to scalar curvature and area/volume, focusing in particular on scale breaking phenomena in such problems. I will then discuss the role of the Hawking mass in the resolution of this scale-breaking issue for the stable CMC uniqueness problem in asymptotically Schwarzschild manifolds (joint work with M. Eichmair) and possibly mention some features of the isoperimetric problem in asymptotically Schwarzschild-anti-de Sitter manifolds (joint work with M. Eichmair, Y. Shi, J. Zhu).