Partial differential equations and conformal geometry

August 29 to September 2, 2022

at the

American Institute of Mathematics, San Jose, California

organized by

Vincent Bonini, Sun-Yung Alice Chang, Matthew Gursky, and Jie Qing

Original Announcement

This workshop will bring together experts and active researchers in geometric partial differential equations that are working on problems in conformal geometry and related topics. The goal is to to take advantage of the pattern of rich interactions between these research fields.

The main topics to be discussed in the workshop include:

  1. Asymptotic analysis on asymptotically hyperbolic manifolds
  2. The anti-de Sitter/conformal field theory correspondence in mathematical physics
  3. Partial differential equations in conformal geometry

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball
by  Jeffrey S. Case, Yueh-Ju Lin, Stephen E. McKeown, Cheikh Birahim Ndiaye, Paul Yang
A Gauss-Bonnet formula for the renormalized area of minimal submanifolds of Poincaré-Einstein manifolds
by  Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo, Aaron J. Tyrrell, Andrew Waldron
Extrinsic GJMS operators for submanifolds
by  Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo