糖果派对

Speaker: Chris Grossack (UC Riverside)听


Abstract:

鈥婳ften in math it's easier to solve a problem "locally", and then one studies how to glue these local solutions into a global solution of the whole problem. In recent years there's been a lot of progress in our understanding of skein algebras and how they glue, culminating in the work of Ben-Zvi--Brochier--Jordan and Cooke on Skein Categories, which can be computed with Factorization Homology. In a separate line of development, there has been progress in the gluing of (topological) Fukaya Categories and Hall Algebras, using the Dyckerhoff--Kapranov machinery of 2-Segal Spaces. In the two halves of this talk we'll discuss Factorization Homology and 2-Segal Spaces. In any remaining time we'll speculate on how these techniques might be used to globalize certain results in Skein Theory.