BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20220307T145148Z
DTSTART:20220322T150000Z
DTEND:20220322T160000Z
SUMMARY:Caleb Springer (University College London) - Every finite abelia
n group arises as the group of rational points of an ordinary abelian va
riety over F_2\, F_3\, and F_5
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}o147-kz1eac
xf-hii3r7
DESCRIPTION:Abstract : We will show that every finite abelian group arise
s as the group of rational points of an ordinary abelian variety over a
finite field with 2\, 3 or 5 elements. Similar results hold over finite
fields of larger cardinality. On our way to proving these results\, we w
ill view the group of rational points of an abelian variety as a module
over its endomorphism ring. By describing this module structure in impor
tant cases\, we obtain (a fortiori) an understanding of the underlying g
roups. Combining this description of structure with recent results on th
e cardinalities of groups of rational points of abelian varieties over f
inite fields\, we will deduce the main theorem. This work is joint with
Stefano Marseglia.\n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR