Séminaire Géométrie et groupes discrets

Higgs Bundles and Higher Teichmüller Spaces

by Prof. Oscar García-Prada (ICMAT, Madrid)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

In this talk I will  present a general construction in terms of Higgs bundles of the higher Teichmüller components of the character variety of a surface group for a real Lie group admitting a positive structure in the sense of Guichard-Wienhard. Key ingredients in this construction are the notion of magical sl2-triple, that we introduce, and the Cayley correspondence. Basics on Higgs bundle theory will be explained.
(Based on joint work with Bradlow, Collier, Gothen and Oliveira).

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IHES Covid-19 regulations:

- all the participants who will attend the event in person will have to keep their mask on in indoor spaces
and where the social distancing is not possible;
- speakers will be free to wear their mask or not at the moment of their talk if they feel more comfortable
without it;
- Up to 25 persons in the conference room, every participant will be asked to be able to provide a health pass
- Over 25 persons in the conference room, every participant will be asked to provide a health pass which will
be checked at the entrance of the conference room.

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Organized by

Fanny Kassel

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