Title: Extremals for sharp Sobolev inequalitie October 13

Presenter: Emmanuel Hebey, University Cergy-Pontoise

Title: The Archimedes Palimpsest: Why should we care? October 13

Presenter: John Conway, Princeton University

Title: A New Rigidity of Furstenberg Entropy October 14

Presenter: Amos Nevo, Princeton University

Title: Introduction to Symplectic Field Theory II October 14

Presenter: Y. Eliashberg, Princeton University & Stanford University

Title: Numerical Determination of Chaotic Transfers; or, Orbit Design October 15

for Cheap Spaceflight

Presenter: Edward Belbruno, PACM & IOD

Title: Mathematical diffraction theory October 15

Presenter: Michael Baake, University of Tuebingen

Title: Constructing contact forms with heat equations October 15

Presenters: Steve Altschuler and Lani Wu, Microsoft

Title: Gromov's a-T-menable groups: non-rigidity in representation theory October 18

Presenter: Alain Valette, Neuchatel, Switzerland

Abstract: A locally compact group is a-T-menable, or satisfies the Haagerup property, if it admits a continuous, isometric, proper action on some affine Hilbert space. We shall give other equivalent definitions (in representation theory and in ergodic theory), all showing that a-T-menability is a strong negation of Kazhdan's property (T). After discussing the interest of this class of groups, we shall prove that the following groups are a-T-menable: amenable groups, SO(n,1) and SU(m,1), groups acting properly on trees. Finally, we classify connected Lie groups which are a-T-menable.

Title: Numerical Determination of Chaotic Transfers; or, Orbit Design October 19

for Cheap Spaceflight

Presenter: Edward Belbruno, PACM & IOD

Title: The cohomology of the space of flat GL(n, C) connections on a curve October 19

Presenter: Michael Thaddeus, Columbia University

Title: Interfaces and their excitations in quantum lattice models October 19

Presenter: Bruno Nachtergaele, U.C. Davis

Title: Structure of clusters near percolation threshold for October 20

2D continuum percolation

Presenter: Madeleine Sirugue, University of Marseille

Title: Godel, Undecidability and All That October 20

Presenter: John Conway, Princeton University

Title: TBA October 21

Presenter: Jack Morava, John Hopkins University

Title: Quasiconformal Mappings on Nilpotent Lie Groups October 22

Presenter: Michael Cowling, University of New South Wales

Title: The geometry of the first non-sero Steklov eigenvalue October 22

Presenters: Jose Escobar, Cornell University

Title: TBA October 27

Presenter: John Conway, Princeton University

Title: TBA October 28

Presenter: Dr. Daniel Christensen, Institute for Advanced Study

Title: Numerical Determination of Chaotic Transfers; or, Orbit Design November 2

for Cheap Spaceflight

Presenter: Edward Belbruno, PACM & IOD

Title: TBA November 3

Presenter: John Conway, Princeton University

Title: Correlation kernels arising in asymptotic representation theory November 11

Presenter: Grigori Olshanskii, IITP (Moscow) and University of Pennsylvania

Abstract: Representation theory of "big" groups (like the infinite symmetric group) provides new interesting examples of random point processes. The aim of the talk is to discuss these examples, their connection to random matrix theory and computation of the correlation functions. This is a recent joint work with Alexei Borodin (u. Penn).