Skip to main content
To KTH's start page To KTH's start page

Jakob Stix: Categories of abelian varieties over finite fields

Time: Wed 2022-05-04 13.15

Location: Zoom, meeting ID: 694 6016 6420 (password required)

Participating: Jakob Stix (University Frankfurt am Main)

Export to calendar


Abelian varieties over finite fields are described up to isogeny by Weil numbers. We will recall this Honda-Tate theory and explain how to raise the description to a categorical level 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 locally projective abelian varieties. This is joint work with Tommaso Centeleghe.

Note: The passcode was sent to the AG and NT mailing lists. If you want to be added to the AG mailing list or have trouble accessing the meeting, please email Jonas Bergström at .