Group Actions and Dynamics Seminar

During the Fall 2024 semester, RTG / Group Actions and Dynamics seminar meets in room B325 Van Vleck on Mondays from 2:25pm - 3:15pm. To sign up for the mailing list send an email from your wisc.edu address to dynamics+join@g-groups.wisc.edu. For more information, contact Paul Apisa, Marissa Loving, Caglar Uyanik, Chenxi Wu or Andy Zimmer.

Fall 2023

date	speaker	title	host(s)
September 9	Caglar Uyanik (UW)	Cannon-Thurston maps, random walks, and rigidity	local
September 16	Dongryul Kim (Yale)	TBA	Uyanik
September 23	Harrison Bray (George Mason)	TBA	Zimmer
October 28	Matthew Durham (UC Riverside)	TBA	Loving
April 21	Mladen Bestvina (Utah)	TBA	Uyanik
April 28	Inanc Baykur (UMass)	TBA	Uyanik

Fall Abstracts

Caglar Uyanik

Cannon and Thurston showed that a hyperbolic 3-manifold that fibers over the circle gives rise to a sphere-filling curve. The universal cover of the fiber surface is quasi-isometric to the hyperbolic plane, whose boundary is a circle, and the universal cover of the 3-manifold is 3-dimensional hyperbolic space, whose boundary is the 2-sphere. Cannon and Thurston showed that the inclusion map between the universal covers extends to a continuous map between their boundaries, whose image is dense. In particular, any measure on the circle pushes forward to a measure on the 2-sphere using this map. We compare several natural measures coming from this construction.

Archive of past Dynamics seminars

2023-2024 Dynamics_Seminar_2023-2024

2022-2023 Dynamics_Seminar_2022-2023

2021-2022 Dynamics_Seminar_2021-2022

2020-2021 Dynamics_Seminar_2020-2021