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DTSTART:20180325T030000
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DTSTAMP:20210120T161902Z
UID:5936c17042466965624271@ist.ac.at
DTSTART:20180329T130000
DTEND:20180329T150000
DESCRIPTION:Speaker: Andreas Cap\nhosted by Tamas Hausel\nAbstract: General
ized flag varieties are homogeneous spaces of the form G/P\, where G is a
semisimple Lie group and P is a parabolic subgroup of G. If G is a complex
semisimple group\, these are exactly the compact homogeneous spaces of G
and they are known as rational homogeneous varieties. I will start by exhi
biting a geometric content in the action of G on G/P\, thus leading to the
idea of parabolic geometries. Next\, I will discuss BGG (Bernstein-Gelfan
d-Gelfand) sequences based on a refinement of twisted de Rham complexes ov
er G/P. In the second part of the talk\, I will outline how this theory ca
n be applied to the study of geometric compactifications and how it leads
to several generalizations of the concept of conformally compact manifolds
.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Parabolic geometries\, BGG sequences and geometry at infinity
URL:https://talks-calendar.app.ist.ac.at/events/1189
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