Differential Geometry & Geometric Analysis Seminar

The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry.  Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.

Organizer(s): 

For more information about this seminar, contact Antonio Ache and Costante Bellettini.

Please click on seminar title for complete abstract.

Seminar Events

April 18, 2014
3:00pm - 4:00pm
Berger decomposition, Weitzenbock formula and canonical metrics on four-manifolds

In this talk we will first provide an alternative proof of the Weitzenbock formula using Berger curvature decomposition, as applications we will discuss rigidity of Einstein four-manifolds under some positive curvature

Location
Fine Hall 314
Speaker: Peng Wu ,
Cornell University
April 18, 2014
4:15pm - 5:15pm
Bounds on the Bondi mass in perturbations of the Schwarzschild exteriors

Please note special time (4:15).   We consider vacuum perturbations of the Schwarzschild black hole exteriors and derive bounds on the Bondi mass and energy at past null infinity in terms of the area of certain carefully chosen sections of the apparent horizon.  The method relies

Location
Fine Hall 314
Speaker: Spyros Alexakis,
University of Toronto
April 25, 2014
3:00pm - 4:00pm
Structure of measures in Lipschitz differentiability spaces

This talk will present results showing the equivalence of two very different ways of generalising Rademacher's theorem to metric measure spaces. The first was introduced by Cheeger and is based upon

Location
Fine Hall 314
Speaker: David Bate ,
University of Chicago
May 2, 2014
3:00pm - 4:00pm
Asymptotics of minimal submanifolds in AdS/CFT correspondence

The talk will describe the asymptotics of minimal submanifolds in spaces which are the product of an asymptotically hyperbolic manifold and a compact Riemannian manifold.  Such spaces arise in the AdS/CFT correspondence in physics.  Results include the derivation of a minimality constraint on the

Location
Fine Hall 314
Speaker: Robin Graham ,
University of Washington Seattle