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
November 3	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