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.

The Ribe Program

Manor Mendel
The Open University of Israel; Member, School of Mathematics
January 29, 2013

A linear property of Banach spaces is called "local" if it depends on finite number of vectors and is invariant under renorming (i.e., distorting the norm by a finite factor). A famous theorem of Ribe states that local properties are invariant under (non linear) uniform-homeomorphisms, suggesting that local properties should have purely metric characterizations.
The Ribe program attempts to uncover explicit metric characterizations of local properties, and study them in the context of metric spaces. More broadly it attempts to apply ideas from Banach

Toeplitz Matrices and Determinants Under the Impetus of the Ising Model

Percy Deift
Courant Institute, NYU
January 29, 2013

This is the second 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.

(Ancient) History on Screen

Oliver Stone
Institute for Advanced Study
January 30, 2013

From the very beginnings of cinematography, themes from the ancient world and the Bible have provided directors and screenwriters with inspiration. The representation of ­antiquity in the movies, and more generally in pop culture, is now a ­stimulating field of research within classical studies. In the last decade, perhaps no film has attracted so much ­interest and debate among ­historians and classicists as Oliver Stone’s Alexander (2004). In this talk, Stone discusses his ­experience making this movie, its challenges, and, more ­generally, his approach to historical themes.

A panel discussion and a question-and-answer session follow the talk. The panel, chaired by Angelos Chaniotis, Professor of Ancient History and Classics in the School of Historical Studies, also includes two current Members, Nathanael Andrade, Assistant Professor of Ancient History at the University of Oregon, and Yannis Hamilakis, Professor of Archaeology at the University of Southampton, and the acclaimed director and film historian Gary Leva.

Large Data Dynamics for Nonlinear Dispersive PDEs

Wilhelm Schlag
University of Chicago
February 1, 2013

We will discuss recent work on wave evolutions for large data. Particular emphasis will be placed on concentration compactness ideas. Amongst others, we will describe a result for wave equations from R^3 minus the unit ball into the sphere S^3 where we can show that any solution approaches the unique harmonic map in its degree class.
Joint work with Cote, Kenig, Lawrie, Nakanishi -- in various combinations.