University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Mixed graded structures for the K-theory of Azumaya algebras

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Mixed graded structures for the K-theory of Azumaya algebras

Download to your calendar using vCal

If you have a question about this talk, please contact INI IT .

KAH - K-theory, algebraic cycles and motivic homotopy theory

If we encode Morita theory for R-algebras as a monoidal category where morphisms are bimodules, then algebraic K-theory becomes a (lax) monoidal functor from this category to graded abelian groups. We show that if we restrict to Azumaya algebras, strong symmetry properties coming from the Goldman element allow to coherently lift certain Brauer subgroups to the the level of Morita equivalences, which gives rise to (graded-)commutative algebras of K-theory, graded over the corresponding Brauer subgroup. We also study analogue constructions for hermitian K-theory of Azumaya algebras with involution




This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Wolfson Lecture Theatre, Churchill College, Storey's Way, Cambridge CB3 0DS University Centre, Hicks Room The Theatre, Peterhouse College

Other talks

TBC Title TBC Think Before you Speak: Next Gen LLMs with Global Reasoning and External Memory Illegal trade in the North Atlantic Afternoon Break Group Presentation 5
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity