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Seminar

RAS - Research Seminar (Part 1): Groups acting properly on the affine space November 23, 2020 (09:00 AM PST - 10:00 AM PST)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) François Labourie (Universite de Nice Sophia Antipolis)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Groups Acting Properly On The Affine Space

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

Abstract: Conjecturally, groups acting properly and cocompactly on the affine space should not contain free groups: this is known as the Auslander conjecture.

I will give some introduction to this problem and introduce various classical tools to deal with this question, with, first, a  focus on dimension 3. Then I will explain how thermodynamical ideas can help giving a new proof of a recent result by Danciger and Zhang : Surface groups whose linear part is Hitchin do not act properly on the affine space.

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Groups Acting Properly On The Affine Space

H.264 Video 25316_28874_8652_Groups_Acting_Properly_on_the_Affine_Space.mp4