Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
DioG Program Research Seminar: Categories Of Abelian Varieties Over Finite Fields
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Honda-Tate theory describes abelian varieties over finite fields up to isogeny by Weil numbers. We will report on results that treat abelian varieties without inverting isogenies and moreover categorically in terms of categories of modules. This extends and reproves prior equivalences of categories by Deligne for ordinary abelian varieties to the case of all abelian varieties over finite fields. A prominent role in the theory is played by what we call w-locally projective abelian varieties.
This is joint work with Tommaso Centeleghe.