Members Seminar

Conformal Dynamics in Pseudo-Riemannian Geometry: Around a Question of A. Lichnerowicz

Charles Frances
Universite Paris-Sud 11; Member, School of Mathematics
April 1, 2013

In the middle of the sixties, A. Lichnerowicz raised the following simple question: “Is the round sphere the only compact Riemannian manifold admitting a noncompact group of conformal transformations?” The talk will present the developments which arose from Lichnerowicz's question. It will be an opportunity to see diverse aspects of conformal dynamics in Riemannian, as well as Lorentzian geometry

Toeplitz Matrices and Determinants Under the Impetus of the Ising Model

Percy Deift
Courant Institute, NYU
January 28, 2013

This is the first of two talks in which the speaker will discuss the development of the theory of Toeplitz matrices and determinants in response to questions arising in the analysis of the Ising model of statistical mechanics. The first talk will be largely historical and the second will describe the state of the art today, including recent results of the speaker and his colleagues Alexander Its and Igor Krasovsky.