A symplectic topologist trying to understand algebraic K-theory

Yanki Lekili (King's College London)

Monday 17th February, 2020 16:00-17:00 Maths 311B


I will give a talk about a recent paper on arXiv jointly written with T. Dyckerhoff and G. Jasso. We show that partially wrapped Fukaya category of the d-fold symmetric product of a 2-dimensional disk with stops on its boundary can be assembled into simplicial categories giving rise to Waldhausen's construction of the K-theory spectrum. Fancy words aside, this is a story about arcs on a disk but suitably designed so that we can add some fancy to it. This may or may not be considered as an entry point for surface topologists to algebraic K-theory.

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