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SUMMARY:Fernando Galaz-García (Durham University)
DTSTART:20210421T160000Z
DTEND:20210421T170000Z
DTSTAMP:20260423T052925Z
UID:VSGS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/26/">Ge
 ometry and Topology of collapsed three-dimensional Alexandrov Spaces</a>\n
 by Fernando Galaz-García (Durham University) as part of Virtual seminar o
 n geometry with symmetries\n\n\nAbstract\nIn Riemannian geometry\, collaps
 e imposes strong geometric and topological restrictions on the spaces on w
 hich it occurs. In the case of Alexandrov spaces\, which are metric genera
 lizations of complete Riemannian manifolds with a uniform lower sectional 
 curvature bound\, collapse is fairly well understood in dimension three. I
 n this talk\, I will discuss the geometry and topology of three-dimensiona
 l Alexandrov spaces and focus on those which are sufficiently collapsed.  
 When such spaces are irreducible\, they are modeled on one of the eight th
 ree-dimensional dimensional Thurston geometries\, excluding the hyperbolic
  one. This extends a result of Shioya and Yamaguchi\, originally formulate
 d for Riemannian manifolds\, to the Alexandrov setting. We will  briefly d
 iscuss how spaces with circle actions enter the picture. (Joint work with 
 Luis Guijarro and Jesús Núñez-Zimbrón).\n
LOCATION:https://researchseminars.org/talk/VSGS/26/
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