Simplicial Complexes - Your Brain as Math Part 2 | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: What is a Simplicial Complex and how can it help us decode the brain’s neurological structure? This is Part 2 in our Your Brain as Math mini-series. Check out Part 1 here: Check out Part 3 here: Tweet at us! @pbsinfinite Facebook: series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Your Brain as Math - Part 1 Network Mathematics and Rival Factions Last episode we saw that your neural network can be modeled as a graph, which -- we’ll show in this episode -- can be viewed as a higher-dimensional simplicial complex. So… what is a simplicial complex?? Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow Made by Kornhaber Brown () Resources: Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function The Blue Brain Project: Barcodes: The Persistent Topology of Data ~ghrist/preprints/ Network Neuroscience Algebraic Topology ~hatcher/AT/ Special thanks to Kathryn Hess and Florian Frick! Special thanks to Matthew O’Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level! And thanks to Mauricio Pacheco who is supporting us at the Lemma level!