11–14 juin 2019
Le Bois-Marie
Fuseau horaire Europe/Paris

Non-abelian Hodge Theory for Monopoles with Periodicity

13 juin 2019, 15:15
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Takuro Mochizuki (RIMS - Kyoto University)

Description

Recently, we obtained equivalences between monopoles with periodicity and difference modules of various types, i.e., periodic monopoles and difference modules, doubly periodic monopoles and $q$-difference modules, and triply periodic monopoles and difference modules on elliptic curves.
In this talk, we shall give a review on the equivalences. If possible, we would like to discuss some deeper aspects of the correspondences from non-abelian Hodge theoretic viewpoints.

Auteur principal

Takuro Mochizuki (RIMS - Kyoto University)

Documents de présentation