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Speaker:

Ko Aoki
Affiliation:

MPIM
Date:

Thu, 22/06/2023 - 09:30 - 10:30
Location:

MPIM Lecture Hall
Parent event:

Arbeitstagung 2023 on Condensed Mathematics Algebraic $K$-theory of (primarily real) topological algebras has been the subject of numerous studies, especially its relationship with topological (aka operator) $K$-theory. I first give the motivation behind my thesis project (the modified Hodge conjecture) and then explain how the formalism of $K$-theory of analytic rings encourages a reexamination of this topic. Subsequently, I illustrate how fundamental tools in condensed mathematics give us a useful picture. Time permitting, I will discuss one outcome from my study, which confirms previously unverified claims of Rosenberg made in 1990.

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