Jan 21, 2021

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: January 21, 2021 | 2:00 pm – 3:00 pm
Speaker: Otto Overkamp, Leibniz Universität Hannover
Location: 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.

More Information:

Date:
January 21, 2021
2:00 pm – 3:00 pm

Speaker:
Otto Overkamp, Leibniz Universität Hannover

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

Contact:

Birgit Oosthuizen-Noczil

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

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