Rational homotopy theory of automorphisms of manifolds

59 mins 2 secs,  225.71 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  522.03 kbits/sec
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Description: Berglund, A
Thursday 6th December 2018 - 09:00 to 10:00
 
Created: 2018-12-10 09:45
Collection: Higher structures in homotopy theory
Publisher: Isaac Newton Institute
Copyright: Berglund, A
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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