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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20240222T125321Z
DTSTART:20240305T150000Z
DTEND:20240305T160000Z
SUMMARY:Manchester Number Theory Seminar - Lilybelle Cowland Kellock
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}g2od-lrt33u
da-cyt6x2
DESCRIPTION:Speaker: Lilybelle Cowland Kellock (UCL)\n\nTitle: A generali
sation of Tate’s algorithm for hyperelliptic curves\n\nAbstract: Tate's
algorithm tells us that\, for an elliptic curve E over a discretely valu
ed field K with residue characteristic >= 5\, the dual graph of the spec
ial fibre of the minimal regular model of E over K^{unr} can be read off
from the valuation of j(E) and \\Delta_E. This is really important for
calculating Tamagawa numbers of elliptic curves\, which are involved in
the refined Birch and Swinnerton-Dyer conjecture formula. For a hyperell
iptic curve C/K\, we can ask if we can give a similar algorithm that giv
es important data related to the curve and its Jacobian from polynomials
in the coefficients of a Weierstrass equation for C/K. This talk will b
e split between being an introduction to cluster pictures of hyperellipt
ic curves\, from which the important data can be gathered\, and a presen
tation of how the cluster picture can be recovered from polynomials in t
he coefficients of a Weierstrass equation.\n\nRoom: Frank Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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