Special Seminar

Title: The Intricate Maze of Graph Complexes
Speaker: Vassiliy Dolgushev
Speaker Info: Temple University
Brief Description: The Intricate Maze of Graph Complexes
Special Note:

In the paper “Formal noncommutative symplectic geometry”, Maxim Kontsevich introduced three versions of cochain complexes GCCom, GCLie and GCAs “assembled from” graphs with some additional structures. The graph complex GCCom (resp. GCLie, GCAs) is related to the operad Com (resp. Lie, As) governing commutative (resp. Lie, associative) algebras. Although the graphs complexes GCCom, GCLie and GCAs (and their generalizations) are easy to define, it is hard to get very much information about their cohomology spaces. In my talk, I will describe the links between these graph complexes (and their modifications) to the cohomology of the moduli spaces of curves, the group of outer automorphisms of the free group on r generators, the absolute Galois group of rationals, finite type invariants of tangles, and the homotopy groups of “spaces of” long knots.
Date: Friday, April 01, 2016
Time: 2:00pm
Where: Lunt 105
Contact Person: Boris Tsygan
Contact email: b-tsygan@northwestern.edu
Contact Phone: 847-467-6446
Copyright © 1997-2024 Department of Mathematics, Northwestern University.