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SUMMARY:Rational homotopy theory of automorphisms of highly connected mani
 folds - Berglund\, A (Stockholm University)
DTSTART:20130402T123000Z
DTEND:20130402T133000Z
UID:TALK44269@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will talk about joint work with Ib Madsen on the rational ho
 motopy type of classifying spaces of various kinds of automorphisms of hig
 hly connected manifolds. The cohomology of the classifying space of the au
 tomorphisms of a g-fold connected sum of S^d x S^d stabilizes degreewise a
 s g tends to infinity. For diffeomorphisms\, the stable cohomology has bee
 n calculated by Galatius and Randal-Williams. I will discuss recent result
 s on the stable cohomology for homotopy equivalences and for block diffeom
 orphisms. Curiously\, the calculation in these cases involves certain Lie 
 algebras of symplectic derivations that have appeared before in Kontsevich
 's work on the cohomology of outer automorphisms of free groups.\n
LOCATION:Seminar Room 1\, Newton Institute
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