Topic: A hypergraph version of Dirac's theorem December 17

Presenter: Endre Szemeredi, Rutgers University

Abstract: If in a 3-uniform hypergraph on n vertices, every edge is in at least n/2 hyperedges (triangles), then the

hypergraph contains a Hamiltonian cycle of triangles. Maybe the methods used in the proof are of some interest. (Joint

work with A. Rucinski and V. Rodl.)

Topic: Random products of matrices, sharp ergodic theorems, and distributing

points uniformly on measure spaces

Presenter: Yehuda Shalom, Princeton University

Topic: Toric varieties and nilpotent orbits December 17

Presenter: W. Graham, IAS and University of Georgia

Abstract: One of the most important constructions in Lie theory is the Springer resolution of the nilpotent variety. This

talk will discuss a construction of an analogue for the universal cover of the regular nilpotent orbit, which makes use of

toric varieties. We will also discuss analogues for other orbit covers.

Topic: Fine analysis of blowup and applications December 17

Presenter: Yanyan Li, Rutgers University

Topic: A smooth ind-variety model for the classifying space of the December 17

gauge group of a vector bundle on a Riemann surface.

Presenter: Tamas Hausel, Institute for Advanced Studies

Topic: On recent progress on the Kakeya conjecture and related problems December 21

Presenter: Terence Tao, UCLA

Topic: On spectral multipliers for sub-laplacians on solvable Lie groups January 22

Presenter: Detlef Muller, University of Kiel