Operations on higher algebraic K-theory

by Ferdinando Zanchetta (University of Southampton)

Thursday 2 Dec 2021, 11:30 → 13:30 Europe/Moscow

818-1526-4739 (Zoom)

Operations on K-theory, such as Adams and lambda operations, have been useful in a plethora of different subjects. In the context of higher algebraic K-theory, defining them is not easy and over the last few decades many authors have envisioned constructions of them that employ highly non-trivial algebraic and homotopical methods (or both). After a short introduction, I will focus on some recent methods that have been developed in order to construct operations on higher algebraic K-theory (and on some facts in algebraic geometry of independent interest that are needed for them) and I will discuss how it is possible to show that many a priori different definitions of them agree (this is joint with B. Koeck).

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