Семинары: Г. Б. Шабат, Dessins d’enfants and moduli spaces of curves

СЕМИНАРЫ


Графы на поверхностях и кривые над числовыми полями 2 марта 2022 г. 18:30, г. Москва, on-line

Dessins d’enfants and moduli spaces of curves G. B. Shabat^ab ^a Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre «Kurchatov Institute» ^b Russian State University for the Humanities, Moscow
Аннотация: A very brief overview of the dessins d'enfants theory will be given. Two kinds of its relations with the moduli spaces of curves will be outlined. (1) The Mumford-Penner-Kontsevich-... construction of cell decomposition of (decorated) moduli spaces and its arithmetic version (Mulase-Penkava). (2) The critical filtrations of Hurwitz and moduli spaces, introduced by the speaker, will be provided, some examples given and open questions formulated.