Alladi Ramakrishnan Hall

K-theory for analytic spaces

Devarshi Mukherjee

University of Munster

We introduce a version of algebraic K-theory and related localising invariants for bornological algebras, using Efimov's recently introduced continuous K-theory. In the commutative setting, our invariant satisfies descent for various topologies that arise in analytic geometry. If time permits, I will also discuss a version of the Grothendieck-Riemann-Roch Theorem for analytic spaces.