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:20221111T173627Z
DTSTART:20221129T150000Z
DTEND:20221129T160000Z
SUMMARY:Manchester Number Theory Seminar - Elvira Lupoian
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}dis-l9fq9o3
v-55ev8g
DESCRIPTION:Speaker: Elvira Lupoian (University of Warwick)\n\nTitle: Two
-Torsion Subgroup of Jacobians of Genus 5 Curves\n\nAbstract: Let C be
a smooth\, projective and non-hyperelliptic curve of genus 5 over Q and
let J be its Jacobian. Recall that J is a 5-dimension abelian variety w
hose points can be identified with elements of the zero Picard group of
C. The Mordell-Weil theorem states that for any number field L\, J(L) is
a finitely generated group\; that is\, J(L) = J(L)_{tors} \\oplus Z^r\,
where J(L)_{tors} is a finite group\, the torsion subgroup\, and r >= 0
is the rank. In this talk I will present a method of computing the 2-to
rsion subgroup of J\; that is the group J[ 2 ] = { P \\in J(Qbar) | 2P =
0 }\, and hence the 2-torsion over any number field L.\n\nThis method w
as used to verify the Generalized Ogg conjecture for X_0(N) with N = 42\
, 55\, 63\, 72\, 75.\n\nRoom: Frank Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR