Mathematics Home / Joint Research Seminars: Algebraic Geometry and Geometric Topology Seminar
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