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Joint Research Seminars: Algebraic Geometry and Geometric Topology Seminar

Fall 2022

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  

Archives

 

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