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Student Cluster Algebra Seminar: Understanding Teichmuller space

Event Type
Lecture
Sponsor
n/a
Virtual
wifi event
Date
Dec 8, 2021   4:00 pm  
Speaker
Wonwoo Kang
Contact
Rinat Kedem
E-Mail
rinat@illinois.edu
Views
4

Abstract: The Teichmuller space of a surface S, named after the mathematician Oswald Teichmuller, is a complex structures on S up to the action of homeomorphisms that are isotopic to the identity homeomorphism. I will show how to define Teichmuller space using the modular group and how to define a lambda length on it. Then I’ll show how to define higher Teichmuller space using this definition.

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