21. Jan 2021

Néron models of pseudo-Abelian varieties

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Datum: 21. Januar 2021 | 14:00 – 15:00
Sprecher: Otto Overkamp, Leibniz Universität Hannover
Veranstaltungsort: https://mathseminars.org/seminar/AGNTISTA

We explain Totaro's notion of pseudo-Abelian varieties and show that they admit Néron models over excellent discrete valuation rings. As a next step, we study those Néron models and generalize the notions of good reduction and semiabelian reduction to such algebraic groups. We prove that the well-known representation-theoretic criteria for good and semiabelian reduction due to Néron-Ogg Shafarevich and Grothendieck carry over to the pseudo-Abelian case, and give examples to show that our results are the best possible in most cases.

Weitere Informationen:

Datum:
21. Januar 2021
14:00 – 15:00

Sprecher:
Otto Overkamp, Leibniz Universität Hannover

Veranstaltungsort:
https://mathseminars.org/seminar/AGNTISTA

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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