Previous Conferences & Workshops

Dec
17
2015

Joint IAS/Princeton University Number Theory Seminar

Modularity and potential modularity theorems in the function field setting
4:15pm|S-101

Let $G$ be a reductive group over a global field of positive characteristic. In a major breakthrough, Vincent Lafforgue has recently shown how to assign a Langlands parameter to a cuspidal automorphic representation of $G$. The parameter is a...

Dec
14
2015

Geometric Structures on 3-manifolds

Quasi-Fuchsian surfaces in finite-volume hyperbolic 3-manifolds
4:00pm|S-101

I will discuss a proof that a complete, non-compact hyperbolic 3- manifold $M$ with finite volume contains an immersed, closed, quasi-Fuchsian surface that separates a given pair of points in the sphere at infinity. Joint with David Futer.

Dec
14
2015

Members’ Seminar

Locally symmetric spaces and torsion classes
Ana Caraiani
2:00pm|S-101

The Langlands program is an intricate network of conjectures, which are meant to connect different areas of mathematics, such as number theory, harmonic analysis and representation theory. One striking consequence of the Langlands program is the...

Dec
14
2015

Computer Science/Discrete Mathematics Seminar I

Toward the KRW conjecture: cubic lower bounds via communication complexity
11:15am|S-101

One of the major challenges of the research in circuit complexity is proving super-polynomial lower bounds for de-Morgan formulas. Karchmer, Raz, and Wigderson suggested to approach this problem by proving that formula complexity behaves "as...

Dec
11
2015

Workshop on Flows, Foliations and Contact Structures

Taut co-oriented foliations
Rachel Roberts
10:00am|Simonyi Hall 101
Eliashberg and Thurston proved that the tangent plane field of any C2 taut oriented foliation F≠S1×S2 can be C0 approximated by a pair of particularly nice smooth contact structures. Kazez and Roberts proved that the requirement that F be C2 can be...
Dec
10
2015

Joint IAS/Princeton University Number Theory Seminar

The first order theory of meromorphic functions
Héctor Pastén Vásquez
4:30pm|Fine 214, Princeton University

By a result of Julia Robinson, we know that the first order theory of the field of rational numbers is undecidable, and in fact the same holds for any number field. In view of this, it is suggested by analogies studied by Vojta and others that the...