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Character varieties of surface groups

Posted in
Jacques Audibert
Mon, 30/10/2023 - 14:40 - 14:55
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Short introductory talks.

The space of homomorphism of a surface group into SL(n,R) up to conjugation is called the character variety. It has a distinguished connected component, the Hitchin component, which is an instance of a "higher Teichmüller space". I am interested in the arithmetic properties of the Hitchin component. In this talk, I will discuss its Q-points and the Z-points and present some open questions that I am thinking about.

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