Previous Conferences & Workshops

Jun
13
2025

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

Three 20 Minute Research Talks
Shuo Zhang , Kifung Chan and May Sela
9:15am|Remote Access

Shuo Zhang (Morningside Center of Mathematics):Composed Dehn twist exact sequence through quilts and $(A_\infty,n)$ modules

We prove the quilted Floer cochain complexes form $(A_\infty,n)$ modules over the Fukaya category $Fuk(M \times M^-)$. Then...

May
30
2025

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

Towards the HZ- and Multiplicity Conjectures for Dynamically Convex Reeb Flows
Basak Gurel
9:15am|Remote Access

In this talk we discuss the multiplicity question for prime closed orbits of a dynamically convex Reeb flow on the boundary of a $2n$-dimensional star-shaped domain. Our first main result asserts that such a flow has at least n prime closed Reeb...

May
29
2025

Special Year Seminar II

Fourier-Mukai Transform for Tropical Abelian Varieties
Farbod Shokrieh
10:00am|Simonyi 101

I will present a (cohomological) Fourier-Mukai transform for tropical Abelian varieties and give some applications, including a (generalized) Poincaré formula (for non-degenerate line bundles on tropical Abelian varieties).

Based on joint work with...

May
28
2025

Special Year Seminar I

Tropical Subrepresentations and Matroids
2:00pm|Simonyi 101

In their recent paper, Giansiracusa and Manaker introduced a notion of tropical subrepresentations of linear representations by considering linear actions on tropical linear spaces. In particular, this framework naturally brings matroids into the...

May
27
2025

Symplectic Geometry Seminar

Flow Categories as Exit Path Categories
Colin Fourel
1:00pm|Simonyi 101 and Remote Access

Given a Morse function on a closed smooth manifold and a Smale gradient-like vector field adapted to it, one can construct a topological category called the flow category associated with this data. Its objects are the critical points of the function...

May
27
2025

Computer Science/Discrete Mathematics Seminar II

Why Extension-Based Proofs Fail
Faith Ellen
10:30am|Simonyi Hall 101 and Remote Access

A valency argument is an elegant and well-known technique for proving impossibility results in distributed computing. It is an example of an extension-based proof, which is modelled as an interaction between a prover and a protocol. Even though...

May
23
2025

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

Markov Staircases
Joé Brendel
9:15am|Remote Access

In this talk, we will discuss new infinite symplectic staircases. Much recent progress has been made in the study of infinite symplectic staircases arising from embedding problems of standard ellipsoids into various symplectic four-manifolds. We...

May
16
2025

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

Morse Theory of Loop Spaces and Hecke Algebras
Roman Krutowski
9:15am|Remote Access

One can associate an HDHF (symmetric) wrapped Fukaya category to a Liouville domain by counting higher genus curves, which are required to be branched covers. For the cotangent bundle of an orientable surface with genus at least one Honda, Tian, and...

May
15
2025

Joint PU/IAS Number Theory

On the Arithmetic of Genus 4 Curves
Jiahui Gao
3:30pm|Simonyi 101 and Remote Access

We propose and study a new arithmetic invariant of non-hyperelliptic genus-4 curves: a canonical “quadratic” point on the Jacobian, defined by the two natural degree-2 maps to projective lines. Building on Xue’s result, that this point is...