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SUMMARY:Discrete Subgroups with Lipschitz Limit Set
DTSTART;VALUE=DATE-TIME:20201012T120000Z
DTEND;VALUE=DATE-TIME:20201012T131500Z
DTSTAMP;VALUE=DATE-TIME:20210117T132728Z
UID:indico-event-6108@indico.math.cnrs.fr
DESCRIPTION:In this talk we will focus on discrete subgroups Γ of higher
rank Lie groups G whose limit set is a Lipschitz manifold\, i.e. locally t
he graph of a Lipschitz map. This is a not-uncommon feature\, verified by
Zariski-dense groups\, usually caused by stable geometric properties of th
e embedding Γ → G. We will recall several examples of such groups\, spe
cially those coming from Higher rank Teichmüller Theory. The main purpose
of the lecture is to explain a recent result\, in collaboration with B. P
ozzetti and A. Wienhard\, where we prove that the critical exponent of a s
pecific combination of eigenvalues (only depending on the dimension of the
limit set) is independent of the representation. We will also explore som
e of its consequences.\n\nhttps://indico.math.cnrs.fr/event/6108/
LOCATION:IHES Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/6108/
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