Group Actions and Dynamics Seminar: Difference between revisions
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|[https:// | |[https://sites.google.com/view/maxlahn/ Max Lahn] (Michigan) | ||
|Cannon-Thurston maps, random walks, and rigidity | |Cannon-Thurston maps, random walks, and rigidity | ||
| | |Uyanik and Zimmer | ||
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|[https://www.caglaruyanik.com/ Caglar Uyanik] (UW) | |||
|Cannon-Thurston maps, random walks, and rigidity | |||
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== Fall Abstracts == | == Fall Abstracts == | ||
===Ben Lowe=== | ===Ben Lowe=== | ||
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===Matthew Durham=== | ===Matthew Durham=== | ||
===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. | |||
Revision as of 14:39, 2 August 2024
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 2024
Fall Abstracts
Ben Lowe
Harrison Bray
Eliot Bongiovanni
Francis Bonahon
Dongryul Kim
Matthew Durham
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.
Spring 2025
| date | speaker | title | host(s) |
|---|---|---|---|
| September 9 | Max Lahn (Michigan) | Cannon-Thurston maps, random walks, and rigidity | Uyanik and Zimmer |
| September 16 | Ben Lowe (Chicago) | TBA | Al Assal |
| September 23 | Harrison Bray (George Mason) | TBA | Zimmer |
| September 30 | Eliot Bongiovanni (Rice) | TBA | Uyanik |
| October 7 | Francis Bonahon (USC/Michigan State) | TBA | Loving |
| October 21 | Dongryul Kim (Yale) | TBA | Uyanik |
| October 28 | Matthew Durham (UC Riverside) | TBA | Loving |
| November 4 | Caglar Uyanik (UW) | Cannon-Thurston maps, random walks, and rigidity | local |
| date | speaker | title | host(s) |
|---|---|---|---|
| April 21 | Mladen Bestvina (Utah) | TBA | Uyanik |
| April 28 | Inanc Baykur (UMass) | TBA | Uyanik |
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