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SUMMARY:Mario Kummer (TU Dresden)
DTSTART:20220422T140000Z
DTEND:20220422T150000Z
DTSTAMP:20260423T020959Z
UID:LAGARTOS/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/41/
 ">A signed count of 2-torsion points on real abelian varieties</a>\nby Mar
 io Kummer (TU Dresden) as part of (LAGARTOS) Latin American Real and Tropi
 cal Geometry Seminar\n\n\nAbstract\nWhile the number of 2-torsion points o
 n an abelian variety of dimension\ng over the complex numbers is always eq
 ual to 4^g\, the number of real\n2-torsion points varies between 2^g and 4
 ^g. I will assign a sign ±1 to\neach real 2-torsion point on a real princ
 ipally polarized abelian\nvariety such that the sum over all signs is alwa
 ys 2^g. I will give an\ninterpretation of this count in the case when the 
 abelian variety is the\nJacobian of a curve and I will speculate about gen
 eralizations to\narbitrary ground fields.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/41/
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