Symplectic Geometry

Organizers: Eleny IonelYasha Eliashberg, Mohammed Abouzaid, and Mohan Swaminathan.

There is tea prior to the talk in the 4th floor lounge.

The Northern California Symplectic Geometry Seminar usually meets on the first Monday of each month, and alternates between Stanford and Berkeley.

Past Events

May
20
Date4:00 PM
Location
383N
Speaker
Lukas Nakamura (Uppsala)

In this talk, I will explain how to use (relative) recursion relations in the HOMFLYPT-skein to study skein-valued open Gromov-Witten partition functions as defined by Ekholm and Shende. As a first application, I will prove a crossing formula for partition functions of basic holomorphic disks…

May
13
Date4:00 PM
Location
383N
Speaker
Maia Fraser (University of Ottawa)

In this talk I will describe an especially simple proof of contact non-squeezing at large scale in R^{2n} \times S^1. The argument (current joint work with Lisa Traynor) was first sketched in a 2016 poster. It uses a persistence-module viewpoint to extract more information from the existing…

Apr
22
Date4:00 PM
Location
383N
Speaker
Soham Chanda (Rutgers)

Dimitroglou-Rizell-Golovko constructs a family of Legendrians in prequantization bundles by taking lifts of monotone Lagrangians. These lifted Legendrians have a Morse-Bott family of Reeb chords. We construct a version of Legendrian Contact Homology(LCH) for Rizell-Golovko's lifted Legendrians…

Apr
08
Date4:00 PM
Location
383N
Speaker
Ziwen Zhao (UC Berkeley)

In this talk, I will review the concept of fixed point Floer (co)homology and its product and coproduct structure. I will explain the concrete computation of the product and coproduct structures for iterations of a single Dehn twist on a symplectic surface with genus at least two. As an…

Apr
01
Date2:30 PM
Location
380D
Speaker
Yoel Groman (Hebrew University)

Abstract: Consider a Liouville domain D embedded in a closed symplectic manifold M. To D one can associate two types of Floer theoretic invariants: intrinsic ones like the wrapped Fukaya category which depend on D only, and relative ones which involve both D and M. It is often the case…

Mar
11
Date4:00 PM
Location
383N
Speaker
Wenyuan Li (USC)

Generating families (generating functions) for exact Lagrangian or Legendrian submanifolds provides a finite dimensional approach to understanding nonclassical invariants of the submanifolds. Given an exact Lagrangian cobordism between Legendrians in 1-jet bundles, we prove that a generating…

Feb
26
Date4:00 PM
Location
383N
Speaker
Alex Pieloch (MIT)

An exact Lagrangian L in a cotangent bundle T*Q is a nearby fibre if it agrees with a cotangent fibre at infinity and it is disjoint from another cotangent fibre.  The projection from T*Q to Q induces a map from L/\partial L to Q.  We will show that this map is null-homotopic after…

Feb
12
Date4:00 PM
Location
383N
Speaker
Daniel Pomerleano (UMass Boston)

Abstract: The small quantum connection on a monotone symplectic manifold M is one of the simplest objects in enumerative geometry. Nevertheless, the poles of the connection have a very rich structure. After reviewing this background, I will outline a proof that, under suitable…

Feb
12
Date2:30 PM
Location
380W
Speaker
Sheel Ganatra (University of Southern California)

Abstract: Sectorial descent, established in earlier work with Pardon-Shende, gives a local-to-global formula computing the wrapped Fukaya category of a Weinstein manifold from a sectorial cover. If one has a specific fixed global Lagrangian in mind that isn't contained in a single…

Feb
05
Date4:00 PM
Location
383N
Speaker
Amanda Hirschi (Sorbonne University)

I will discuss joint work with Luya Wang on the other direction of the Donaldson 4-6 problem. Specifically, we show that any two simply-connected symplectic 4-manifolds, whose products with S^2 are deformation equivalent, have the same Gromov-Witten invariants. The proof relies on a…