Ruprecht-Karls-Universität Heidelberg
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„Compactification and volumes of the moduli spaces of flat surfaces in genus 0“
Dr. Duc-Manh Nguyen, Université de Bordeaux, France

Abstract: It is now a well known fact that for any positive integer k, k-differentials on compact Riemann surfaces define flat metric structures with conical singularities on the underlying surfaces. The moduli spaces of such flat surfaces carry a natural volume form. In several situation, the total volumes of those moduli spaces with respect to this volume form have interesting geometric and dynamical interpretations. The aim of this talk to is explain how tools from complex algebraic geometry allow one to construct adequate compactifications of the moduli spaces of flat surfaces, and to compute efficiently their volumes, especially in the case of genus 0.

Dienstag, den 14. Februar 2023 um 13:00 Uhr, in INF 205, SRB Dienstag, den 14. Februar 2023 at 13:00, in INF 205, SRB

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. B. Pozzetti, Prof. P. Albers