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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > CANCELLED On a conjecture of Vorst

## CANCELLED On a conjecture of VorstAdd to your list(s) Download to your calendar using vCal - Georg Tamme (UniversitÃ¤t Regensburg)
- Friday 27 March 2020, 10:00-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory Quillen proved that algebraic K-theory is A^1-invariant on regular noetherian schemes. Vorst’s conjecture is a partial converse. Let k be a field, and let A be a k-algebra essentially of finite type and of dimension d. Vorst’s conjecture predicts that if K_{d+1}(A) = K_{d+1}(A[t_1, \dots, t_m]) for all positive integers m, then A is regular. This conjecture was proven by Cortinas, Haesemeyer, and Weibel in case k has characteristic 0. In the talk, I will explain the proof of a slightly weaker version of the conjecture if k has positive characteristic. Joint work with Moritz Kerz and Florian Strunk. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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