[geometry-ml:01675] Seminar at Kavli IPMU on 2013 Feb 12 Oda

[Satoshi Kondo]

Dear colleagues:

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

Regards,

Satoshi Kondo (Kavli IPMU)
http://www.ipmu.jp/
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Speaker:         Hidemasa Oda (Kavli IPMU)

Date:   Tue, Feb 12, 2013, 13:15 - 14:45

Place:  Seminar Room A

Title:
Triangulated Categories of Matrix Factorizations for Elliptic Singularities

Abstract:
We study the triangulated category of graded matrix factorizations for
a simply elliptic singularity, which has the Gorenstein parameter ε =
0. The singularity admits a natural C×-action so that the quotient is
an elliptic curve. From a view point of mirror symmetry, it is natural
to consider finite group extensions of the action so that the
quotients are P1-orbifolds. Then, the triangulated category of matrix
factorizations equivariant with those group actions admit a Serre
functor.
In the present paper, we explicitly determine the matrix
factorizations, which give the full strongly exceptional collections
of the categories, which form elliptic Dynkin quivers associated with
elliptic root systems. Therefore, the category is equivalent to the
derived category of the representations of the elliptic Dynkin quiver.
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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/