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Rational homotopy theory of automorphisms of manifolds

Presented by: 
Alexander Berglund Stockholm University
Date: 
Thursday 6th December 2018 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
I will talk about differential graded Lie algebra models for automorphism groups of simply connected manifolds M. Earlier results by Ib Madsen and myself on models for block diffeomorphisms combined with rational models for Waldhausen's algebraic K-theory of spaces suggest a model for the group of diffeomorphisms homotopic to the identity, valid in the so-called pseudo-isotopy stable range. If time admits, I will also discuss how to express the generalized Miller-Morita-Mumford classes in the cohomology of BDiff(M) in terms of these models.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons