Seminar series
Date
Mon, 26 Aug 2024
Time
14:00 -
15:00
Location
L6
Speaker
Devarshi Mukherjee
Organisation
University of Münster
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.