Mon, 26 Aug 2024
14:00 -
15:00
L6
Analytic K-theory for bornological spaces
Devarshi Mukherjee
(University of Münster)
Abstract
We define a version of algebraic K-theory for bornological algebras, using the recently developed continuous K-theory by Efimov. In the commutative setting, we prove that this invariant satisfies descent for various topologies that arise in analytic geometry, generalising the results of Thomason-Trobaugh for schemes. Finally, we prove a version of the Grothendieck-Riemann-Roch Theorem for analytic spaces. Joint work with Jack Kelly and Federico Bambozzi.