Previous Conferences & Workshops

Nov
02
2015

Members’ Seminar

Optimal knots
2:00pm|S-101

There are various notions of an ``optimal'' position for a knot in the 3-sphere. Beginning with Schubert's bridge position, I'll talk about some 1- and 2-parameter definitions of complexity for a knot, and explain some of the reasons they have been...

Nov
02
2015

Computer Science/Discrete Mathematics Seminar I

Two-source dispersers for polylogarithmic entropy and improved Ramsey graphs I
11:15am|S-101

In his 1947 paper that inaugurated the probabilistic method, Erdős proved the existence of $2 \log(n)$-Ramsey graphs on $n$ vertices. Matching Erdős' result with a constructive proof is a central problem in combinatorics that has gained a...

Oct
30
2015

Minerva Mini-Course

$L^2$ invariants and Benjamini-Schramm convergence
Lewis Bowen
1:30pm|Fine 110, Princeton University

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

Oct
30
2015

Joint IAS/Princeton/Columbia Symplectic Geometry Seminar

Functors and relations from Fukaya categories of LG models
1:00pm|Math 407, Columbia University

The Fukaya category of a Landau-Ginzburg (LG) model $W: E \to C$, denoted $F(E,W)$, enlarges the Fukaya category of $E$ to include certain non-compact Lagrangians determined by $W$ (for instance, Lefschetz fibrations and their thimbles). I will...

Oct
30
2015

Joint IAS/Princeton/Columbia Symplectic Geometry Seminar

Floer homology for translated points
Margherita Sandon
10:15am|Math 520, Columbia University

A point $q$ in a contact manifold $(M,\xi)$ is said to be a translated point of a contactomorphism $\phi$, with respect to a contact form $\alpha$ for $\xi$, if it is a "fixed point modulo the Reeb flow", i.e. if $q$ and $\phi(q)$ are in the same...

Oct
29
2015

Joint IAS/Princeton University Number Theory Seminar

From local class field theory to the curve and vice versa
4:30pm|S-101

I will speak about results contained in my article "$G$-torseurs en théorie de Hodge $p$-adique" linked to local class field theory. I will in particular explain the computation of the Brauer group of the curve and why its fundamental class is the...

Oct
28
2015

Mathematical Conversations

Volumes of hyperbolic link complements
6:00pm|Dilworth Room

Thurston realized that certain link complements admit a complete hyperbolic metric, which is a complete invariant of the manifold. We'll discuss the volumes of hyperbolic link complements and what is known about them and open questions.

Oct
27
2015

Geometric Structures on 3-manifolds

A new cubulation theorem for hyperbolic groups
Daniel Groves
4:00pm|S-101

We prove that if a hyperbolic group $G$ acts cocompactly on a CAT(0) cube complexes and the cell stabilizers are quasiconvex and virtually special, then $G$ is virtually special. This generalizes Agol's Theorem (the case when the action is proper)...