Victor Turchin (Max-Planck Institut Bonn / Kansas State University)
Graph-complexes, operads, and embedding spaces
(10 hours)
Online PhD course
Period: April - May 2021
Department of Mathematics
University of Rome "Tor Vergata"

Timetable: Thursdays 5pm, starting April 15th

Topics:

* The little discs operad, its (co)homology, rational homotopy, and formality

* Finite type invariants of classical knots in R3, bialgebra of chord diagrams, spaces of unitrivalent graphs

* Manifold functor calculus

* Graph-complexes computing the rational homotopy of the spaces of higher-dimensional knots

Prerequisites: basic course on Algebraic Topology

Link: https://teams.microsoft.com/l/meetup-join/19%3af024cee1c8b3423abb3f9f55f3ba1989%40thread.tacv2/1617890663253?context=%7b%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%227d10abbb-c86b-4c88-abcc-1505bdd7bab4%22%7d