Dear colleagues:

We announce the following seminar at IPMU
(the Institute for the Physics and Mathematics of the Universe).

Regards,

Satoshi Kondo (IPMU)
http://ipmu.jp/

===========================================
Speaker: Sergey Galkin (IPMU)

Date: Jan. 19 (Tue), 2010, 13:15-14:45

Place:  Balcony B on the 5th floor

Title:Mirror symmetries of P^2 enumerated by Markov triplets

Abstract:
Triplets of integer numbers (x,y,z) satisfying Markov's equation
    x^2 + y^2 + z^2 = 3 xyz
are in charge of two numerologies for the projective plane P^2:
these numbers are the ranks of exceptional bundles
and their squares are the weights of Prokhorov-Hacking's degenerations
of the plane to weighted projective plane P(x^2,y^2,z^2).

Batyrev's ansatz states that given a (good) toric degeneration of variety X
one may construct a Landau-Ginzburg model mirror dual to X as a
Laurent polynomial with the Newton polytope being the fan polytope of
the degeneration.

I'll show this ansatz holds in the situation of Prokhorov-Hacking's
degenerations,and relate the polynomials constructed from different
degenerations by birational symplectomorphic mutations.
============

The map below
http://www.ipmu.jp/access/img/KashiwaCampusMap.png
is not up to date.  The seminar will be in the building
"Construction area of IPMU building" in the map.

The schedule of the seminar can be checked from
http://db.ipmu.jp/seminar/