Previous Conferences & Workshops

Feb
21
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Generic equidistribution of periodic orbits for area-preserving surface diffeomorphisms.
Rohil Prasad
4:00pm|Princeton University, Fine 314

I will discuss some recent work showing that a generic area-preserving diffeomorphism of a closed surface has an equidistributed sequence of periodic orbits. The proof uses several properties of spectral invariants from periodic Floer homology...

Feb
21
2022

Computer Science/Discrete Mathematics Seminar I

PAC Learnability of partial concept classes
11:15am|Simonyi 101 and Remote Access

We extend the classical theory of PAC learning in a way which allows to model a rich variety of practical learning tasks where the data satisfies special properties that ease the learning process. This is done by considering partial concepts...

Feb
18
2022

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Reynaud models from relative Floer theory
Umut Varolgunes
9:15am|Remote Access

I will start by explaining the construction of a formal scheme starting with an integral affine manifold $Q$ equipped with a decomposition into Delzant polytopes. This is a weaker and more elementary version of degenerations of abelian varieties...

Feb
17
2022

Joint IAS/Princeton University Number Theory Seminar

A Wiles-Diamond numerical criterion in higher dimensions
4:30pm

Wiles’s proof of the modularity of (semistable) elliptic curves over the rationals and Fermat’s Last Theorem relied on his invention of a modularity lifting method. There were two strands to the method:

(i) A numerical criterion to for a map of...

Feb
16
2022

Mathematical Conversations

The Strong Cosmic Censorship conjecture in general relativity
6:00pm|Birch Garden, Simons Hall

The statement that general relativity is a deterministic theory finds its mathematical formulation in the Strong Cosmic Censorship conjecture due to Roger Penrose.  I will introduce the conjecture and report on some recent progress.

Feb
16
2022

Topics in Geometry

Quantitative Heegaard Floer cohomology and the Calabi invariant [CGHMSS] Part II: Reduction to the spectral invariant
2:00pm|Simonyi Hall 101 and Remote Access
Feb
16
2022

Arithmetic Groups

Anosov groups: local mixing, counting, and equidistribution
11:00am|Simonyi 101 and Remote Access

This is joint work with Samuel Edwards and Hee Oh. Let $G$ be a connected semisimple real algebraic group, and $\Gamma G$ be a Zariski dense Anosov subgroup with respect to a minimal parabolic subgroup. We describe the asymptotic behavior of matrix...