[geometry-ml:01488] Seminar at Kavli IPMU on 2012 July 3 Miyasaka

[Satoshi Kondo]

Dear colleagues:

There will be a workshop as follows at Kavli IPMU
(Kavli Institute for the Physics and Mathematics of
the Universe).

Regards,

Satoshi Kondo (Kavli IPMU)
http://ipmu.jp/
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Speaker: Yuken Miyasaka (Tohoku U)

Date: 2012 July 3 (Tue) 13:15 - 14:45

Place: Seminar room A, IPMU

Title: Torsion points on Jacobian varieties and
p-adic Sato theory

Abstract:
The classical Sato theory describes solutions of
complete integrable equationsin terms of Sato
tau-functions. Anderson developed a p-adic theory of
Sato tau-functions and applied it to arithmetic
problem about torsion points on Jacobian varieties.
He proved that torsion points of certain prime
orders are not on the theta divisor of the Jacobian
variety of X,  where X is a cyclic quotient of a
Fermat curve of prime degree.  In this talk,  I will
report a work with Takao Yamazaki about an
analogous result when X is a hyperelliptic curve.
Recently, Kobayashi and Yamazaki proved for
more general curves. These proofs are based on
the "p-adic Sato theory".
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You can check the location from
http://www.ipmu.jp/access-0
The schedule of the seminar can be checked from
http://db.ipmu.jp/seminar/