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Analysis days in Sirius
October 29, 2021 11:40, Sochi, online via Zoom at 10:40 CEST (=09:40 BST, =04:40 EDT)


Graphs describing conformal structure and their degeneration

A. B. Bogatyrevabc

a Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
c Moscow Center for Fundamental and Applied Mathematics

Abstract: We consider the cell decomposition of the moduli space of real genus two curves with a marked point on the only real oval. The cells are enumerated by certain graphs with their weights describing the complex structure on a curve. We show that collapse of an edge of the graph results in a root like singularity of the natural mapping from the graph weights to the moduli space of curves.

Language: English

Website: https://us02web.zoom.us/j/6250951776?pwd=aG5YNkJndWIxaGZoQlBxbWFOWHA3UT09

* ID: 625 095 1776, password: pade


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