Dynamics Seminar 2022-2023: Difference between revisions
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|[https://math.ou.edu/~jing/ Jing Tao] (OU) | |[https://math.ou.edu/~jing/ Jing Tao] (OU) | ||
|[[# Jing Tao (OU) | | |[[# Jing Tao (OU) | Genericity of pseudo-Anosov maps]] | ||
|Dymarz and Uyanik | |Dymarz and Uyanik | ||
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===Jing Tao=== | ===Jing Tao=== | ||
By Nielsen-Thurston classification, every homeomorphism of a surface is isotopic to one of three types: finite order, reducible, or pseudo-Anosov. While there are these three types, it is natural to wonder which type is more prevalent. In any reasonable way to sample matrices in SL(2,Z), irreducible matrices should be generic. One expects something similar for pseudo-Anosov maps. In joint work with Erlandsson and Souto, we define a notion of genericity and show that pseudo-Anosov maps are indeed generic. More precisely, we consider several "norms" on the mapping class group of the surface, and show that the proportion of pseudo-Anosov maps in a ball of radius r tends to 1 as r tends to infinity. The norms can be thought of as the natural analogues of matrix norms on SL(2,Z). | |||
===Rebekah Palmer=== | ===Rebekah Palmer=== |
Revision as of 15:26, 2 September 2022
The Dynamics seminar meets in room B329 of Van Vleck Hall on Mondays from 2:30pm - 3:20pm. 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, or Chenxi Wu. Contact Caglar Uyanik with your wisc email to get the zoom link for virtual talks.
Fall 2022
date | speaker | title | host(s) |
---|---|---|---|
September 12 | Jing Tao (OU) | Genericity of pseudo-Anosov maps | Dymarz and Uyanik |
September 19 | Rebekah Palmer (Temple)(virtual) | TBA | VIRTUAL |
September 26 | Beibei Liu (MIT) | TBA | Dymarz |
October 3 | Grace Work (UW-Madison) | TBA | local |
October 10 | Jean Pierre Mutanguha (Princeton) | TBA | Uyanik |
October 17 | Anthony Sanchez (UCSD) | TBA | Uyanik |
October 24 | Alena Erchenko (Stony Brook) | TBA | Uyanik and Work |
October 31 | Feng Zhu (UW Madison) | TBA | local |
November 7 | Ethan Farber (BC) | TBA | Loving |
November 14 | TBA | TBA | |
November 21 | Harry Hyungryul Baik (KAIST) | TBA | Wu |
November 28 | TBA | TBA | |
December 5 | TBA | TBA | |
December 12 | TBA | TBA |
Fall Abstracts
Jing Tao
By Nielsen-Thurston classification, every homeomorphism of a surface is isotopic to one of three types: finite order, reducible, or pseudo-Anosov. While there are these three types, it is natural to wonder which type is more prevalent. In any reasonable way to sample matrices in SL(2,Z), irreducible matrices should be generic. One expects something similar for pseudo-Anosov maps. In joint work with Erlandsson and Souto, we define a notion of genericity and show that pseudo-Anosov maps are indeed generic. More precisely, we consider several "norms" on the mapping class group of the surface, and show that the proportion of pseudo-Anosov maps in a ball of radius r tends to 1 as r tends to infinity. The norms can be thought of as the natural analogues of matrix norms on SL(2,Z).
Rebekah Palmer
Beibei Liu
Grace Work
Jean Pierre Mutanguha
Anthony Sanchez
Alena Erchenko
Feng Zhu
Ethan Farber
Harry Baik
Spring 2023
date | speaker | title | host(s) |
---|---|---|---|
January 30 | TBA | TBA | |
March 27 | Carolyn Abbott (Brandeis) | TBA | Dymarz and Uyanik |
April 10 | Jon Chaika (Utah) | TBA | Apisa and Uyanik |
April 24 | Priyam Patel (Utah) | TBA | Loving and Uyanik |
Spring Abstracts
Carolyn Abbott
Priyam Patel
Archive of past Dynamics seminars
2021-2022 Dynamics_Seminar_2021-2022
2020-2021 Dynamics_Seminar_2020-2021