[Turkmath:7332] Koc Universitesi Matematik Semineri

[Kazim Buyukboduk]

*MATHEMATICS SEMINAR*



Date     : 7th December 2010, Tuesday

Time     : 16:00

Place    : SCI Z42, Koc Universitesi Fener Kampusu, Fen Fakultesi


Refreshments will be served at 15:45

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*Andres Angel*

*Hausdorff Institute, Bonn*

* *

*“String Topology”*





ABSTRACT

String topology is the study of the algebraic structures on the homology

of the free loop space of a manifold. The subject was started by

Chas and Sullivan, a decade ago, by defining these invariants of smooth

manifolds by intersection theory of chains. Later on, Cohen and Jones

gave an interpretation of these structures in terms of stable homotopy

theory and demonstrated its relation with the Hochschild cohomology

of the cochains of the manifold. In this talk I will present the history of

the subject, show the various incarnations of these algebraic structures

and how they can be generalized to objects that are not necessarily

manifolds, like classifying spaces of groups and orbifolds.
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