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Configuration spaces of points and real Goodwillie-Weiss calculus

Presented by: 
Thomas Willwacher ETH Zürich
Date: 
Tuesday 4th December 2018 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
The manifold calculus of Goodwillie and Weiss proposes to reduce questions about embedding spaces of manifolds to questions about mapping spaces of the (little-disks modules of) configuration spaces of points on those manifolds. We will discuss real models for these configuration spaces. Furthermore, we will see that a real version of the aforementioned mapping spaces is computable in terms of graph complexes. In particular, this yields a new tool to study diffeomorphism groups and moduli spaces.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons