Algebra Seminar   RSS

Planned sessions

16/01/2019, 15:00 — 16:00 — Room P3.10, Mathematics BuildingInstituto Superior Técnicohttp://tecnico.ulisboa.pt
, Wellesley College

Cohomology of braids, graph complexes, and configuration space integrals

I will explain how three integration techniques for producing cohomology classes — Chen integrals for loop spaces, Bott-Taubes integrals for knots and links, and Kontsevich integrals for configuration spaces — come together in the computation of the cohomology of spaces of braids. The relationship between various integrals is encoded by certain graph complexes. I will also talk about the generalizations to other spaces of maps into configuration spaces (of which braids are an example). This will lead to connections to spaces of link maps and, from there, to other topics such as rope length, manifold calculus of functors, and a conjecture of Koschorke, all of which I will touch upon briefly. This is joint work with Rafal Komendarczyk and Robin Koytcheff.

Email announcements subscription

This seminar series has an active subscriber list. It is used by the seminar organizer to publicize events. To request or cancel membership add your name and email below. Depending on your address being on the list or not you will be able to unsubscribe or subscribe.

Data submission

 


Current organizer: Gustavo Granja

CAMGSD FCT