Location: IHP, room 201
The talks are broadcasted via Zoom:
https://zoom.us/j/89445897442?pwd=QmVZWHBiM2Nwb09yUVJERnYrSHJrUT09
10:45 Rohil Prasad (Berkeley)
Invariant sets in three-dimensional energy surfaces.
Abstract:
Let H be any smooth function on R^4 and let Y be any compact and regular level set. I'll explain a proof that Y admits an infinite family of proper compact subsets that are invariant under the Hamiltonian flow, which in addition have dense union in Y. This improves on a 2018 result by Fish-Hofer.
14:00 Shah Faisal (Strasbourg)
Extremal Lagrangian tori in toric domains.
Abstract: The symplectic area of a Lagrangian submanifold L of a symplectic manifold is defined to be the minimal positive symplectic area of a smooth 2-disk with boundary on L. An extremal Lagrangian torus is a Lagrangian torus that maximizes the symplectic area among the Lagrangian tori. In this talk, I will explain that every extremal Lagrangian torus in the standard symplectic unit ball is entirely contained in the boundary of the ball. This answers a question attributed to Lazzarini and settles a conjecture of Cieliebak and Mohnke in the affirmative.
15:45 Amanda Hirschi (Jussieu)
Open Gromov-Witten invariants and Lagrangian cobordism.
Abstract: I will describe a construction of open Gromov-Witten invariants in genus zero for embedded (relatively spin) Lagrangians. This uses the framework of Solomon-Tukachinsky and a construction of global Kuranishi charts for moduli space of stable maps with Lagrangian boundary condition. I will describe the invariance of this numbers and how they are related under Lagrangian cobordisms. This is work in progress, joint with Kai Hugtenburg.
Next symplectix:
4/04 (Petr, Riegel, Zhang), 6/06
Other symplectic activity in Paris (and in France):
- Séminaire Nantes-Orsay- Symplectic Zoominar (every Fridays at 15:15 (except Symplectix' Fridays) Paris time)
