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Geometry MMA Seminar: Correlation of Length Spectra and Cusped Hitchin Representations

Sep 12, 2025, 1:30 - 2:30 PM

 

Speaker: Lien-Yung (Nyima) Kao, George Washington University

Title:  Correlation of Length Spectra and Cusped Hitchin Representations

 

Abstract:  In this talk, we will examine the correlation of length spectra between two geometric structures on (potentially cusped) surfaces. This correlation aims to capture both the distinctions and commonalities between these structures. Our geometric findings stem from their symbolic counterparts. Furthermore, we will delve into the geometric interpretation of the correlation number and its relationship with the Manhattan curve.

The geometric structures of our interest are cusped Hitchin representations, including cusped Fuchsian representations (a.k.a. cusped hyperbolic metrics). This is joint work with Giuseppe Martone.

 

Time:  Friday, September 12, 2025 – 1:30pm-2:30pm

Place: Exploratory Hall, Room 4208

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