Previous Conferences & Workshops

Nov
12
2012

Members’ Seminar

Proof of a 35 Year Old Conjecture for the Entropy of SU(2) Coherent States, and its Generalization.
Elliot Lieb
2:00pm|S-101

35 years ago Wehrl defined a classical entropy of a quantum density matrix using Gaussian (Schr\"odinger, Bargmann, ...) coherent states. This entropy, unlike other classical approximations, has the virtue of being positive. He conjectured that the...

Nov
09
2012

Joint IAS/Princeton University Symplectic Geometry Seminar

An Arithmetic Refinement of Homological Mirror Symmetry for the 2-Torus
Yanki Lekili
4:30pm|S-101

We establish a derived equivalence of the Fukaya category of the 2-torus, relative to a basepoint, with the category of perfect complexes on the Tate curve over Z[q]. It specializes to an equivalence, over Z, of the Fukaya category of the punctured...

Nov
09
2012

Analysis Seminar

Three Projection Operators in Several Complex Variables
Elias Stein
3:15pm|S-101

I will report on recent joint work with L. Lanzani on three basic projection operators, each associated to an appropriate domain in C^n. These are: variants of Cauchy-Fantappie integrals; the Cauchy-Szego projection: and the Bergman projection. The...

Nov
09
2012

Joint IAS/Princeton University Symplectic Geometry Seminar

Behavior of Welschinger Invariants Under Morse Simplification
Erwan Brugalle
2:00pm|S-101

Welschinger invariants, real analogs of genus 0 Gromov-Witten invariants, provide non-trivial lower bounds in real algebraic geometry. In this talk I will explain how to get some wall-crossing formulas relating Welschinger invariants of the same (up...

Nov
08
2012

Joint IAS/Princeton University Number Theory Seminar

The Tate Conjecture for K3 Surfaces Over Fields of Odd Characteristic
Keerthi Madapusi
4:30pm|Fine Hall 214

The classical Kuga-Satake construction, over the complex numbers, uses Hodge theory to attach to each polarized K3 surface an abelian variety in a natural way. Deligne and Andre extended this to fields of characteristic zero, and their results can...