Chi Cheuk Tsang (UQAM)
Date
Monday November 27, 202311:00 am - 12:00 pm
Location
Jeffery Hall, Room 319Dynamics, Geometry and Groups Seminar
Monday, November 27th, 2023
Time: 11:00 a.m. Place: Jeffery Hall, Room 319
Speaker: Chi Cheuk Tsang (UQAM)
Title: Birkhoff sections for Anosov flows
Abstract: A global section to a flow on a 3-manifold is a closed cooriented embedded surface that is positively transverse to the flow lines. A Birkhoff section is a generalization where one allows the surface to admit boundary components tangent to the flow. Using Birkhoff sections, one can convert between dynamical information of 3-dimensional flows and 2-dimensional maps. A classical result of Fried states that every transitive Anosov flow admits a Birkhoff section. The natural next question is how simple of a Birkhoff section can we find. In this talk, we discuss some recent progress on this question. If time permits, we will also explain some tools and ideas used in the proofs of the results that we mention.