Seminar
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| Location: | SLMath: Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Discrete Homotopy Theory And Cubical Sets
Zoom Link:
https://msri.zoom.us/s/93059090699
In this talk, we will introduce the main ideas of discrete homotopy theory (or A-theory), introduced by Barcelo et al. This theory assigns a bigraded sequence of groups to any simplicial complex by replacing continuous maps on spheres with graph homomorphisms on cubical grids. Originally studied as a qualitative measure of complex systems and their dynamics, discrete homotopy theory has grown into a topic of independent interest, with applications to hyperplane arrangements and group theory. We discuss these applications and describe a way to compute discrete homotopy groups of graphs in terms of topological data on certain cubical sets.
No Notes/Supplements UploadedDiscrete Homotopy Theory And Cubical Sets
| H.264 Video | 25049_28438_8361_Discrete_Homotopy_Theory_and_Cubical_Sets.mp4 |