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Speaker:

Maxime Fortier-Bourque
Affiliation:

University of Glasgow
Date:

Thu, 2018-10-18 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie The systole of a hyperbolic surface is the length of any of its shortest closed geodesics. Schmutz Schaller

initiated the study of the systole function and its local maxima in the 90's. I will explain a construction of

a new infinite family of closed hyperbolic surfaces which are local maxima for the systole. The simplest

of these surfaces is the Bolza surface, which is the surface of genus 2 with the largest number of

symmetries. In higher genus, we obtain super-exponentially many examples and most of them have a

trivial automorphism group. This is joint work with Kasra Rafi.

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