Seminar
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| Location: | SLMath: Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Enriched Factorization Homology In Dimension 1
To join this or any of the MSRI hosted talks this week please use the following link.
https://msri.zoom.us/s/585445592
Thus far in the factorization homology learning seminar, we have primarily discussed factorization homology of E_n-algebras (informally referred to as "factorization homology alpha"). For E_n-algebras in spaces, this admits a generalization to (∞,n)-categories (informally referred to as "factorization homology beta"). In the case that n=1, this has been extended further to enriched (∞,1)-categories.
In this talk, I will carefully explain both factorization homology beta and enriched factorization homology in dimension 1. I will also discuss its functoriality, leading to the cyclotomic structure on topological Hochschild homology (THH). Along the way, we'll see various familiar combinatorially-defined categories (such as Connes's cyclic category) arising naturally within the context of manifold topology.
This represents various joint works among David Ayala, John Francis, Nick Rozenblyum, and myself.
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Enriched Factorization Homology In Dimension 1
| H.264 Video | 24960_28310_8299_Enriched_Factorization_Homology_in_Dimension_1.mp4 |