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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A version of Vorst's conjecture in positive and mi
 xed characteristic - Georg Tamme (Johannes Gutenbe
 rg-Universität Mainz)
DTSTART;TZID=Europe/London:20220614T143000
DTEND;TZID=Europe/London:20220614T153000
UID:TALK174914AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/174914
DESCRIPTION:This is joint work with Moritz Kerz and Florian St
 runk. It is a classical result that the K-theory o
 f regular Noetherian rings is A1-invariant. Vorst 
 conjectured a converse statement: If A is essentia
 lly of finite type over a field&nbsp\;and Kd+1-reg
 ular (i.e. Kd+1(A) = Kd+1(A[T1\,...\,Tr]) for all 
 r) where d=dim(A)\, then A is regular. He proved t
 his conjecture in case dim(A)=1. The general case 
 for&nbsp\;Q-algebras was proven by Corti&ntilde\;a
 s-Haesemeyer-Weibel.&nbsp\;In the talk I will disc
 uss the case of Fp-algebras and&nbsp\;a mixed char
 acteristic version for curves.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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