Symplectic Geometry, Gauge Theory, and Low-Dimensional Topology Seminar
Thursday December 7th, 2023
Time: 1:00 PM - 2:30 PM
Title: On certain $C^0$-aspects of contactomorphism groups
Speaker: Vukasin Stojisavljevic, CRM, Universite de Montreal
Location: Math 4-130
Abstract:
We will study $C^0$-dynamic of contactomorphisms of certain prequantization spaces. In particular, we will show dynamical footprints of the famous squeezing vs (non-)squeezing dichotomy in contact topology as well as define new metrics on contactomorphisms and, more generally, contact homeomorphisms. The main technical ingredient is a result about $C^0$-continuity of actions of translated points of contactomorphisms. The talk is based on a joint work in progress with Baptiste Serraille.