Calendar: Events for week of April 16, 2018
Jack Shotton (University of Chicago)
“Ihara’s Lemma on Shimura curves via Patching”
Romain Gicquaud (University of Tours)
“Mass-like Covariants for Asymptotically Hyperbolic Manifolds”
The mass of an asymptotically hyperbolic manifold is a vector in Minkowski space defined in terms of the geometry at infinity of the manifold. It enjoys covariance properties under the change of coordinate chart at infinity. In this talk we classify covariants satisfying similar properties.
Erwin Bolthausen (University of Zurich)
“A Second Moment Method for High-temperature Mean-field
It is well known that in mean-field spin glasses, the annealed free energy typically does not agree with the quenched one, even at high temperature. We propose a suitable conditioning argument which leads to an evaluation of the quenched free energy by a conditional second moment method.
“How to Use a Chalkboard”
Amir Dembo (Stanford)
“Supersymmetric Path Integrals: Integrating Differential Forms on the Loop Space”
We construct an integral map for differential forms on the loop space of Riemannian spin manifolds. For example, Bismut-Chern character forms are integrable with respect to this map, with their integrals given by indices of Dirac operators. Moreover, the map satisfies a localization principle, which provides a rigorous background for path integral proofs of the Atiyah-Singer Index theorem by Atiyah, Witten, Bismut and others.
“How Algebraic Geometers Can Prove P \ neq NP”
“Triangle Counts in Random Graphs”
Daniel Halpern-Leistner (Cornell)