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UID:3a77a108ba82c6405ebbd5dffde84780
CATEGORIES:Colloquia
CREATED:20230308T074527
SUMMARY:Higher rank Teichmüller spaces
LOCATION:Hill Center Room 705
DESCRIPTION:<p style="background: white;">Abstract: Classical Teichmüller space describ
 es the space of conformal structures on a given&nbsp;topological surface. I
 t plays an important role in several areas of mathematics as&nbsp;well as i
 n theoretical physics. Due to the uniformization theorem, Teichmüller space
  can be realized as space of hyperbolic structures and is closely related t
 o discrete and faithful representations of the fundamental group of the sur
 face into PSL(2,R), the group of isometries of the hyperbolic plane.&nbsp;H
 igher rank Teichmüller spaces generalize many aspects of this classical the
 ory when PSL(2,R) is replaced by other Lie groups of higher rank, for examp
 le the symplectic group PSp(2n; R) or the special linear group PSL(n; R). &
 nbsp;In this talk I will give an introduction to higher rank Teichmüller sp
 aces and their properties. I will also highlight connections to other areas
  in geometry, dynamics and algebra.&nbsp;</p>
CONTACT:Anna Wienhard (Max-Planck Inst., Leipzig)
DTSTAMP:20260828T015310
DTSTART;TZID=America/New_York:20230322T153000
DTEND;TZID=America/New_York:20230322T163000
SEQUENCE:0
TRANSP:OPAQUE
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