December 7, 2023
1:50PM - 2:50PM
MW 152
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2023-12-07 14:50:00
2023-12-07 15:50:00
Dynamics of cusped Hitchin representations
Title: Dynamics of cusped Hitchin representations
Speaker: Giuseppe Martone (Sam Houston State University)
Abstract: Cusped Hitchin representations are generalizations of finite-area hyperbolic structures on a surface with cusps. They arise naturally in the context of higher rank Teichmüller theory, and, in this talk, we will focus on their dynamical properties. Specifically, in joint work with Bray, Canary, and Kao, we connect these surface group representations to the dynamics of countable Markov shifts and potentials with desirable (thermo)dynamical properties. Using these tools, we obtain orbit counting results for cusped Hitchin representations.
MW 152
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2023-12-07 13:50:00
2023-12-07 14:50:00
Dynamics of cusped Hitchin representations
Title: Dynamics of cusped Hitchin representations
Speaker: Giuseppe Martone (Sam Houston State University)
Abstract: Cusped Hitchin representations are generalizations of finite-area hyperbolic structures on a surface with cusps. They arise naturally in the context of higher rank Teichmüller theory, and, in this talk, we will focus on their dynamical properties. Specifically, in joint work with Bray, Canary, and Kao, we connect these surface group representations to the dynamics of countable Markov shifts and potentials with desirable (thermo)dynamical properties. Using these tools, we obtain orbit counting results for cusped Hitchin representations.
MW 152
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Dynamics of cusped Hitchin representations
Speaker: Giuseppe Martone (Sam Houston State University)
Abstract: Cusped Hitchin representations are generalizations of finite-area hyperbolic structures on a surface with cusps. They arise naturally in the context of higher rank Teichmüller theory, and, in this talk, we will focus on their dynamical properties. Specifically, in joint work with Bray, Canary, and Kao, we connect these surface group representations to the dynamics of countable Markov shifts and potentials with desirable (thermo)dynamical properties. Using these tools, we obtain orbit counting results for cusped Hitchin representations.
