Limit Set Deformations Inside the Sphere at Infinity of the Complex Hyperbolic Plane

par Prof. Antonin Guilloux (IMJ-PRG & Institut Fourier, Grenoble)

lundi 13 déc. 2021, 14:00 → 15:15 Europe/Paris

Centre de conférences Marilyn et James Simons (IHES)

Surface group representations inside PU(2,1) share some geometric properties with Kleinian groups but also with real projective representations, related to divisible convex sets.

A central object for understanding their properties is the limit sets in the sphere at infinity. I will present computer generated figures of these limit sets that help build some intuition for deformations of real Fuchsian representations. This leads to a new tool for working with these deformations, which we call thinness.

Joint work (in progress) with E. Falbel and P. Will.

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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 70 persons in the conference room, every participant will be asked to be able to provide a health pass
- Over 70 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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