Geometric Group Theory Seminar - Gangotryi Sorcar

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April 9, 2015
3:00 pm - 3:55 pm
University Hall 0047

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2015-04-09 15:00:00 2015-04-09 15:55:00 Geometric Group Theory Seminar - Gangotryi Sorcar Title: Teichmüller space of Complex Hyperbolic ManifoldsSpeaker: Gangotryi Sorcar (Binghamton University)Abstract: The talk is on results concerning complex hyperbolic manifolds Mn, where n is the complex dimension of M and 2n = 4k−2 where k is an integer more than 1. We prove that T<0(M) is non contractible by constructing a non trivial element in π1(T<0(M)), where T<0(M) denotes the Teichmüller space of all negatively curved Riemannian metrics on M, which is the quotient space of the space of all negatively curved Riemannian metrics on M modulo the space of all isotopies of M that are homotopic to the identity.Seminar URL: https://research.math.osu.edu/ggt/ University Hall 0047 America/New_York public

Title: Teichmüller space of Complex Hyperbolic Manifolds

Speaker: Gangotryi Sorcar (Binghamton University)

Abstract: The talk is on results concerning complex hyperbolic manifolds Mn, where n is the complex dimension of M and 2n = 4k−2 where k is an integer more than 1. We prove that T<0(M) is non contractible by constructing a non trivial element in π1(T<0(M)), where T<0(M) denotes the Teichmüller space of all negatively curved Riemannian metrics on M, which is the quotient space of the space of all negatively curved Riemannian metrics on M modulo the space of all isotopies of M that are homotopic to the identity.

Seminar URL: https://research.math.osu.edu/ggt/

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