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Joint Research Seminars: Algebraic Geometry and Geometric Topology Seminar

Fall 2021

Time & Location: All talks are on Mondays in TBA at 3:00 PM unless otherwise noted.
Organizer: Komendarczyk, Rafal

 

September 6 (Labor Day) no seminar

 

September 13

Title: TBA

Speaker | Institution

Abstract: TBA

 

September 20

Title: Integrals, trees, and spaces of pure braids and string links

Robin Koytcheff | Institution

Abstract: The based loop space of configurations in a Euclidean space R^n can be viewed as the space of pure braids in R^{n+1}.  In joint work with Komendarczyk and Volic, we studied its real cohomology using an integration map from a certain graph complex and recovered a result of Cohen and Gitler.  Specifically, the map we studied is a composition of Kontsevich’s formality integrals and Chen’s iterated integrals.  We showed that it is compatible with Bott-Taubes integrals for spaces of 1-dimensional string links in R^{n+1}.  As a corollary, the inclusion of pure braids into string links in R^{n+1} induces a surjection in cohomology for any n>2.  More recently, we showed that the dual to the integration map embeds the homotopy groups of the space of pure braids into a space of trivalent trees.  We also showed that a certain subspace of these homotopy groups injects into the homotopy groups of spaces of k-dimensional string links in R^{n+k} for many values of n and k.

 

September 27

Title: TBA

Speaker | Institution

Abstract: TBA

 

October 4

Title: TBA

Speaker | Institution

Abstract: TBA

 

October 11

Title: TBA

Speaker | Institution

Abstract: TBA

 

October 18

Title: TBA

Speaker | Institution

Abstract: TBA

 

October 25

Title: TBA

Speaker | Institution

Abstract: TBA

 

November 1

Title: TBA

Speaker | Institution

Abstract: TBA

 

November 8

Title: TBA

Speaker | Institution

Abstract: TBA

 

November 15

Title: TBA

Speaker | Institution

Abstract: TBA

 

November 22 (Thanksgiving Holiday) no seminar

 

November 29

Title: TBA

Speaker | Institution

Abstract: TBA

 

December 6

Title: TBA

Speaker | Institution

Abstract: TBA

 

January 31

Title: TBA

Speaker | Institution

Abstract: TBA

 

February 7

Title: TBA

Speaker | Institution

Abstract: TBA

 

February 14

Title: TBA

Speaker | Institution

Abstract: TBA

 

February 21

Title: TBA

Speaker | Institution

Abstract: TBA

 

February 28 (Mardi Gras Holiday) no seminar

 

March 7

Title: TBA

Speaker | Institution

Abstract: TBA

 

March 14

Title: TBA

Speaker | Institution

Abstract: TBA

 

March 21

Title: TBA

Speaker | Institution

Abstract: TBA

 

March 28

Title: TBA

Speaker | Institution

Abstract: TBA

 

April 4

Title: TBA

Speaker | Institution

Abstract: TBA

 

April 11

Title: TBA

Speaker | Institution

Abstract: TBA

 

April 18

Title: TBA

Speaker | Institution

Abstract: TBA

 

April 25

Title: TBA

Speaker | Institution

Abstract: TBA

 

May 2

Title: TBA

Speaker | Institution

Abstract: TBA