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SUMMARY:A version of Vorst's conjecture in positive and mixed characterist
 ic - Georg Tamme (Johannes Gutenberg-Universität Mainz)
DTSTART:20220614T133000Z
DTEND:20220614T143000Z
UID:TALK174914@talks.cam.ac.uk
DESCRIPTION:This is joint work with Moritz Kerz and Florian Strunk. It is 
 a classical result that the K-theory of regular Noetherian rings is A1-inv
 ariant. Vorst conjectured a converse statement: If A is essentially of fin
 ite type over a field&nbsp\;and Kd+1-regular (i.e. Kd+1(A) = Kd+1(A[T1\,..
 .\,Tr]) for all r) where d=dim(A)\, then A is regular. He proved this conj
 ecture in case dim(A)=1. The general case for&nbsp\;Q-algebras was proven 
 by Corti&ntilde\;as-Haesemeyer-Weibel.&nbsp\;In the talk I will discuss th
 e case of Fp-algebras and&nbsp\;a mixed characteristic version for curves.
LOCATION:Seminar Room 1\, Newton Institute
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