Previous Conferences & Workshops

Mar
06
2008

Categories and Knot Invariants

Knot Homology and Braid Group Actions on Derived Categories of Coherent Sheaves
Joel Kamnitzer
10:30am|S-101

Due to the pioneering work of Khovanov, there has been a lot of recent interest in certain knot homology theories. I will explain a program to construct these knot homology theories using braid group actions on derived categories of coherent sheaves...

Mar
04
2008

Computer Science/Discrete Mathematics Seminar II

The Sign-Rank of AC^0
10:30am|S-101

The sign-rank of a real matrix M is the smallest rank of any real matrix whose entries have the same sign as the entries of M . We exhibit a 2^n x 2^n matrix computable by depth 2 circuits of polynomial size whose sign-rank is exponential in n . Our...

Mar
03
2008

Computer Science/Discrete Mathematics Seminar I

Disjointness is Hard in the Multi-Party Number-On-The-Forehead Model
Troy Lee
11:15am|S-101

The disjointness function---determining if a number of sets share a common element---is a notorious example in communication complexity of a function which is hard, but it is hard to show it is hard. Determining both the randomized and quantum...

Feb
28
2008

Joint IAS/Princeton University Number Theory Seminar

Hilbert Spaces of Entire Functions and Automorphic L-Functions
J. Lagarias
4:30pm|S-101

We review the de Branges theory of Hilbert spaces of entire functions. This theory gives a canonical form for a class of operators as a multiplication operator together with a generalized Fourier transform taking such an operator to a generalized...