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SUMMARY:Priyam Patel (University of Utah)
DTSTART:20200505T153000Z
DTEND:20200505T160000Z
DTSTAMP:20260423T003253Z
UID:GaTO/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/4/">Iso
 metry groups of infinite-genus hyperbolic surfaces</a>\nby Priyam Patel (U
 niversity of Utah) as part of Geometry and topology online\n\nLecture held
  in N/A.\n\nAbstract\n<p>Allcock\, building on the work of Greenburg\, pro
 ved that for any countable group \\(G\\)\, there is a a complete hyperboli
 c surface whose isometry group is exactly \\(G\\). When \\(G\\) is finite\
 , Allcock’s construction yields a closed surface.  Otherwise\, the const
 ruction gives an infinite-genus surface. \n\n<p>In this talk\, we discuss 
 a related question. We fix any infinite-genus surface \\(S\\) and characte
 rise all groups that can arise as the isometry group for a complete hyperb
 olic structure on \\(S\\). In the process\, we give a classification type 
 theorem for infinite-genus surfaces and\, if time allows\, two application
 s of the main result. \n\n<p>This talk is based on joint work with T. Aoug
 ab and N. Vlamis.\n
LOCATION:https://researchseminars.org/talk/GaTO/4/
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