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


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

* Finite type invariants of classical knots in R
3, 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