Previous Conferences & Workshops

Feb
13
2017

Members’ Seminar

Mirror symmetry via Berkovich geometry I: overview
2:00pm

Berkovich geometry is an enhancement of classical rigid analytic geometry. Mirror symmetry is a conjectural duality between Calabi-Yau manifolds. I will explain (1) what is mirror symmetry, (2) what are Berkovich spaces, (3) how Berkovich spaces...

Feb
13
2017

Computer Science/Discrete Mathematics Seminar I

Nearest neighbor search for general symmetric norms via embeddings into product spaces
Ilya Razenshteyn
11:30am

I will show a new efficient approximate nearest neighbor search (ANN) algorithm over an arbitrary high-dimensional *symmetric* norm. Traditionally, the ANN problem in high dimensions has been studied over the $\ell_1$ and $\ell_2$ distances with a...

Feb
10
2017

Mathematical Conversations

The positive Grassmannian
6:00pm

I will give an informal introduction to the positive Grassmannian, including its cell decomposition and its connection to cluster algebras.

Feb
10
2017

Working Seminar on Representation Theory

Canonical bases arising from quantum symmetric pairs
2:00pm

A quantum symmetric pair consists of a quantum group and its coideal subalgebra. The coideal subalgebra is a quantum analog of the fixed point subalgebra of the enveloping algebra with respect to certain involution. In this talk, we shall describe...

Feb
09
2017

Joint IAS/Princeton University Number Theory Seminar

Diophantine problems and the $p$-adic Torelli map
Brian Lawrence
4:30pm

We explore the comparison isomorphism of $p$-adic Hodge theory in the case of elliptic curves, and discuss some ideas which may be used to prove the S-unit theorem and the finiteness of rational points on higher-genus curves (Faltings' theorem).

Feb
09
2017

Joint IAS/Princeton University Symplectic Geometry Seminar

Cancelled: Gromov-Witten theory of locally conformally symplectic manifolds and the Fuller index
Yakov Savelyev
11:15am

We review the classical Fuller index which is a certain rational invariant count of closed orbits of a smooth vector field, and then explain how in the case of a Reeb vector field on a contact manifold $C$, this index can be equated to a Gromov...

Feb
08
2017

Analysis/Mathematical Physics Seminar

Discrete harmonic analysis and applications to ergodic theory
1:30pm

Given $d, k\in\mathbb N$, let $P_j$ be an integer-valued polynomial of $k$ variables for every $1\le j \le d$. Suppose that $(X, \mathcal{B}, \mu)$ is a $\sigma$-finite measure space with a family of invertible commuting and measure preserving...