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Simplicial Complexes, Configuration Spaces, and “Chromatic” Invariants (Andrew Cooper, NC State)

January 24, 2019 @ 12:00 pm - 1:30 pm

Given a space $X$, the configuration space $F(X,n)$ is the space of possible ways to place $n$ points on $X$, so that no two occupy the same position. But what if we allow some of the points to coincide?

The natural way to encode the allowed coincidences is as a simplicial complex $S$. I will describe how the configuration space $M(S,X)$ obtained in this way gives rise to polynomial and homological invariants of $S$, how those invariants are related to the cohomology ring $H^*(X)$, and what this has to do with the topology of spaces of maps into $X$.

I will also mention some potential applications of this structure to problems arising from international relations and economics.

This is joint work with Vin de Silva, Radmila Sazdanovic, and Robert J Carroll

Details

Date:
January 24, 2019
Time:
12:00 pm - 1:30 pm
Event Category:

Organizer

Sam Nelson
Email:
snelson@cmc.edu

Other

Speaker Name
Andrew Cooper (NC State)

Venue

Roberts North 104, CMC
320 E. 9th St.
Claremont, CA 91711 United States
+ Google Map

Details

Date:
January 24, 2019
Time:
12:00 pm - 1:30 pm
Event Category:

Organizer

Sam Nelson
Email:
snelson@cmc.edu

Other

Speaker Name
Andrew Cooper (NC State)

Venue

Roberts North 104, CMC
320 E. 9th St.
Claremont, CA 91711 United States
+ Google Map