
Matthew Gursky
Tue Mar 13, 2018
3:00 pm
In this talk I will describe a singular boundary value problem for Einstein metrics. This problem arises in the FeffermanGraham theory of conformal invariants, and in the AdS/CFT correspondence. After giving a brief overview of some important results and examples, I will present a recent construction of boundary data which cannot...

Henri Roesch
Tue Mar 6, 2018
4:00 pm
In the first half of the talk, we introduce a new quasilocal mass with interesting properties along null flows off of a 2sphere in spacetime or, equivalently, foliations of a null cone. We also show how certain, fairly generic, convexity assumptions on the null cone allows for a proof of the Penrose Conjecture. On the Black Hole Horizon, we find...

Adam Jacob
Tue Feb 27, 2018
4:00 pm
The study of tangent cones in geometric analysis is an important tool in understanding the structure at a singular point of a geometric equation. In this talk I will discuss how to uniquely identify the tangent cone of a YangMills connection with isolated singularity in the complex setting, given an initial assumption on the complex structure of...

Tue Feb 20, 2018
3:00 pm
Speaker #1: Renato Bettiol (University of Pennsylvania)
Title: A Weitzenbock viewpoint on sectional curvature and application
Abstract: In this talk, I will describe a new algebraic characterization of sectional curvature bounds that only involves curvature terms in the Weitzenboeck formulae for symmetric tensors. This...

Dan Knopf
Tue Feb 13, 2018
4:00 pm
We describe Riemannian (nonKahler) Ricci flow solutions that develop finitetime TypeI singularities whose parabolic dilations converge to a shrinking Kahler–Ricci soliton singularity model. More specifically, the singularity model for these solutions is the “blowdown soliton” discovered in 2003 by Feldman, Ilmanen, and the...

Norman Zergaenge
Tue Jan 30, 2018
4:00 pm
A key challenge in Riemannian geometry is to find ``best" metrics on compact manifolds. To construct such metrics explicitly one is interested to know if approximation sequences contain subsequences that converge in some sense to a limit manifold.
In this talk we will present convergence results of sequences of closed Riemannian
4manifolds...

SCGAS
Sat Jan 27, 2018  Sun Jan 28, 2018
11:00 am
Conference website: https://www.math.uci.edu/scgas
Please register at the conference website if planning to attend.