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UID:3a77a108ba82c6405ebbd5dffde84780
CATEGORIES:Colloquia
CREATED:20230308T074527
SUMMARY:Higher rank Teichmüller spaces
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: Classical Teichmüller space describes the space of conformal stru
 ctures on a given topological surface. It plays an important role in severa
 l areas of mathematics as well as in theoretical physics. Due to the unifor
 mization theorem, Teichmüller space can be realized as space of hyperbolic 
 structures and is closely related to discrete and faithful representations 
 of the fundamental group of the surface into PSL(2,R), the group of isometr
 ies of the hyperbolic plane. Higher rank Teichmüller spaces generalize many
  aspects of this classical theory when PSL(2,R) is replaced by other Lie gr
 oups of higher rank, for example the symplectic group PSp(2n; R) or the spe
 cial linear group PSL(n; R).  In this talk I will give an introduction to h
 igher rank Teichmüller spaces and their properties. I will also highlight c
 onnections to other areas in geometry, dynamics and algebra. \n
X-ALT-DESC;FMTTYPE=text/html:<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:20260828T175348
DTSTART;TZID=America/New_York:20230322T153000
DTEND;TZID=America/New_York:20230322T163000
SEQUENCE:0
TRANSP:OPAQUE
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