BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Wilderich Tuschmann (Karlsruhe Institute of Technology)
DTSTART:20210119T180000Z
DTEND:20210119T190000Z
DTSTAMP:20260423T035036Z
UID:OSGA/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/43/">Sp
 aces and Moduli Spaces of Riemannian Metrics</a>\nby Wilderich Tuschmann (
 Karlsruhe Institute of Technology) as part of Online Seminar "Geometric An
 alysis"\n\n\nAbstract\nConsider a smooth manifold with a Riemannian metric
  satisfying some sort of curvature constraint like\, for example\, positiv
 e scalar curvature\, non-negative Ricci or negative sectional curvature\, 
 being Einstein\, Kähler\, Sasaki\, etc. A natural question to study is th
 en what the space of all such metrics does look like. Moreover\, one can a
 lso pose this question for corresponding moduli spaces of metrics\, i.e.\,
  quotients of the former by (suitable subgroups of) the diffeomorphism gro
 up of the manifold\, acting by pulling back metrics. \n\nThese spaces are 
 customarily equipped with the topology of smooth convergence on compact su
 bsets and the quotient topology\, respectively\, and their topological pro
 perties then provide the right means to measure 'how many' different metri
 cs and geometries the given manifold actually does exhibit\; but one can t
 opologize and view those also in very different manners.\n\nIn my talk\, I
  will report on some general results and open questions about spaces and m
 oduli spaces of metrics with non-negative Ricci or sectional curvature as 
 well as other lower curvature bounds on closed and open manifolds\, and\, 
 in particular\, also discuss broader non-traditional approaches from metri
 c geometry and analysis to these objects and topics.\n
LOCATION:https://researchseminars.org/talk/OSGA/43/
END:VEVENT
END:VCALENDAR