27 June 2016 to 2 July 2016
Collège de France
Europe/Paris timezone

From the Hitchin component to opers

30 Jun 2016, 16:30
25m
Amphithéâtre Marguerite de Navarre (Collège de France)

Amphithéâtre Marguerite de Navarre

Collège de France

11, place Marcelin-Berthelot, 75231 Paris cedex

Speaker

Olivia Dumitrescu (MPIM, Bonn)

Description

Gaiotto's conjecture (2014) is a particular construction of opers from Higgs bundles in one Hitchin component. The conjecture has been recently solved by a joint paper of Dumitrescu, Fredrickson, Kydonakis, Mazzeo, Mulase, and Neitzke (2016). In this talk, I will present a holomorphic description of the limiting oper, and its geometry. The importance of this correspondence, in particular the relation with the "quantum curve" of Dumitrescu - Mulase (2013) will be discussed.

Presentation materials