Abstract:  In this talk I will review how surgery theory, and in particular the surgery exact sequence, reduces certain problems in the classification of manifolds to computing a homomorphism between geometrically defined bordism groups and algebraically defined groups of quadratic forms; the  L-groups.  If the  L-groups are known one sees that interesting manifolds are bound to appear it is not clear in which dimension they will show up.
In this setting I will review exotic spheres, the Kervaire invariant problem and a generalisation and I will briefly mention briefly discuss the Novikov Conjecture and the Borel Conjecture.

Tee/Kaffee/Gebäck
ab  16:45 Uhr,
Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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