SEMINARIO DI GEOMETRIA ARITMETICA

Venerdì 17 Marzo alle 14:00 (durata 1 ora e 15 minuti)

In Sala di Rappresentanza del Dipartimento di Matematica “F. Enriques”,

si terrà il seguente seminario:

Shuji Saito
(University of Tokyo)

Generalized Weibel’s conjecture

 

Abstract: This is a report of a joint work with Shane Kelly and Georg Tamme.
The main result affirms that for a qcqs derived scheme X whose underlying scheme has finite valuative dimension d, we have K_i(X)=0 for i<-d. If X is a noetherian scheme, the result is due to Kerz-Strunk-Tamme. The method of the proof follows Kerz-Strunk-Tamme who deduced it from the pro-cdh descent for algebraic K-theory. The latter property fails for non-noetherian schemes in general. A key point is that it still holds replacing schemes by derived schemes.

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