Previous Conferences & Workshops

Nov
07
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Functoriality for Fukaya Categories of Very Affine Hypersurfaces
Maxim Jeffs
4:00pm|Fine 314 and Remote Access

A very affine hypersurface is the vanishing locus of a Laurent polynomial in a complex torus; its complement is also a very affine hypersurface, but in two subtly-different ways. The (partially) wrapped Fukaya categories of the hypersurface and its...

Nov
07
2022

Hermann Weyl Lectures

Simultaneous Small Fractional Parts of Polynomials
2:00pm|Simonyi 101 and Remote Access

Given several real numbers $\alpha_1,...,\alpha_k$, how well can you simultaneously approximate all of them by rationals which each have the same square number as a denominator? Schmidt gave a clever iterative argument which showed that this can be...

Nov
07
2022

Computer Science/Discrete Mathematics Seminar I

Smoothed Complexity of Local Max-Cut with Two Flips
11:15am|Simonyi 101 and Remote Access

Many algorithms and heuristics that work well in practice have poor performance under the worst-case analysis, due to delicate pathological instances that one may never encounter. To bridge this theory-practice gap, Spielman and Teng introduced the...

Nov
04
2022

Special Year Informal Seminar

Twisted Recurrence in Dynamical Systems
Jiajie Zheng
1:30pm|Simonyi 101

In the study of some dynamical systems, the limsup set of a sequence of measurable sets is often of interest. The shrinking targets and recurrence are two of the most commonly studied problems that concern limsup sets. However, the zero-one laws for...

Nov
04
2022

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

Lagrangian Cobordisms, Enriched Knot Diagrams, and Algebraic Invariants
9:15am|Remote Access

 We introduce new invariants to the existence of Lagrangian cobordisms in R^4. These are obtained by studying holomorphic disks with corners on Lagrangian tangles, which are Lagrangian cobordisms with flat, immersed boundaries.

We develop...

Nov
03
2022

Joint IAS/PU Number Theory Seminar

Applications of the Endoscopic Classification to Statistics of Cohomological Automorphic Representations on Unitary Groups
Rahul Dalal
4:30pm|Simonyi Hall 101 and Remote Access

Consider the family of automorphic representations on some unitary group with fixed (possibly non-tempered) cohomological representation $\pi_0$ at infinity and level dividing some finite upper bound. We compute statistics of this family as the...

Nov
03
2022

Verlinde Dimension Formula

Verlinde Dimension Formula for the Space of Conformal Blocks and the Moduli of G-bundles
10:15am|Simonyi 101 and Remote Access

Let G be a simply-connected complex semisimple algebraic group and let C be a smooth projective curve of any genus. Then, the moduli space of semistable G-bundles on C admits so called determinant line bundles. E. Verlinde conjectured a remarkable...

Nov
02
2022

Mathematical Conversations

Information Geometry: What and Why
6:00pm|Birch Garden, Simons Hall

Information geometry studies the mathematical properties of probabilistic models. Classically, we view the parameter space of a model as a Riemannian manifold, and use tools from differential geometry to study properties of the parameterized class...