Mathematics Home / Joint Research Seminars: Algebraic Geometry and Geometric Topology Seminar
Time & Location: All talks are on TBA in TBA at TBA PM unless otherwise noted.
Organizer: Komendarczyk, Rafal; Co-organizer: Mahir Can, Tai Ha, Kalina Mincheva
September 19
Title: From integrals to combinatorial formulas of finite type invariants - a case study.
Rafal Komendarczyk | Tulane University
Abstract:
We obtain a localized version of the configuration space integral for the Casson knot invariant, where the standard symmetric Gauss form is replaced with a locally supported form. An interesting technical difference between the argument presented here and the classical arguments is that the vanishing of integrals over hidden faces does not require the involution trick due to Kontsevich. The integral formula yields the well-known arrow diagram expression for the
invariant, first presented in the work of Polyak and Viro. We also take the next step of extending the arrow diagram expression to multicrossing knot diagrams. The primary motivation is to better understand a connection between the classical configuration space integrals and arrow diagram formulas for finite type invariants. This is a joint work with Robyn Brooks, which builds on her thesis.
Location: Dinwiddie 103
Time: 3:00
September 26
Title: From integrals to combinatorial formulas of finite type invariants - a case study. (part 2)
Rafal Komendarczyk | Tulane University
Abstract:
This is a continuation of last week's talk.
Location: Dinwiddie 103
Time: 3:00
October 6
Fall Break
October 7
Fall Break
November 2
Clifford Lectures
November 3
Clifford Lectures
November 4
Clifford Lectures
November 17
Clifford Lectures
November 18/19
Clifford Lectures
December 9
Last Day Of Class