# Resurgence in Mathematics and Physics

11-14 June 2019
Le Bois-Marie
Europe/Paris timezone

## Non-abelian Hodge Theory for Monopoles with Periodicity

13 Jun 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

### Speaker

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.

### Primary author

Takuro Mochizuki (RIMS - Kyoto University)