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SUMMARY:Positivity and higher Teichmüller theory
DTSTART;VALUE=DATE-TIME:20160926T124500Z
DTEND;VALUE=DATE-TIME:20160926T140000Z
DTSTAMP;VALUE=DATE-TIME:20211204T011607Z
UID:indico-event-1418@indico.math.cnrs.fr
DESCRIPTION:Classical Teichmüller space describes the space of conformal
structures on a given topological surface S. It plays an important role in
several areas of mathematics as well as in theoretical physics. \n\nHighe
r Teichmüller theory generalizes several aspects of classical Teichmülle
r theory to the context of Lie groups of higher rank\, such as the symplec
tic group PSp(2n\; R) or the special linear group PSL(n\; R). So far\, tw
o families of higher Teichmüller spaces are known. The Hitchin component\
, which is defined when the Lie group is a split real forms\, and the spac
e of maximal representations\, which is defined for Lie groups of Hermitia
n type. Interestingly\, both families are linked with various notions of p
ositivity in Lie groups. \n\nIn this talk I will give an introduction to h
igher Teichmüller theory\, introduce new positive structures on Lie group
s and discuss the (partly conjectural) relation between the two.\n\nhttps:
//indico.math.cnrs.fr/event/1418/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/1418/
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