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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20231109T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 141
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:FREDERIK BENIRSCHKE\, UNIVERSITY OF CHICAGO\n\n\"ISOMETRIC EMBE
 DDINGS AND TOTALLY GEODESIC SUBMANIFOLDS OF\nTEICHMÜLLER SPACES\"\n\nClas
 sical results by Royden\, Earle\, and Kra imply that the\nbiholomorphism g
 roup of Teichmüller space\, the isometry group of the\nTeichmüller metri
 c\, and the mapping class group of the underlying\nsurface are all isomorp
 hic. In other words\, every isometry of\nTeichmüller space is induced by 
 a homeomorphism of the underlying\nsurface.\n\nIn this talk\, we present a
  generalization\, obtained in joint work with\nCarlos Serván\, where we r
 elax isometries to isometric embeddings. The\nmain result is that isometri
 c embeddings of Teichmüller spaces are\ncoverings constructions\, except 
 for some low-dimensional special\ncases. In other words: Isometric embeddi
 ngs are induced by branched\ncoverings of the underlying surfaces.\n\nTime
  permitting\, we explain how our techniques can be used to rule out\nthe e
 xistence of certain totally geodesic submanifolds.\n\nQNC 2501
DTSTAMP:20260505T133118Z
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