Configuration spaces of points and real Goodwillie-Weiss calculus – Thomas Willwacher (ETH Zürich)

December 4, 2018 @ 10:00 am – 11:00 am
Seminar Room 1
Newton Institute

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.