Algebraic Geometry Seminar - Thursday 7 August, at 14:30

[Math Group]

M A T H E M A T I C S   S E M I N A R S   2014

Thursday, 7 August, at 14.30 hrs.

Speaker: Shinnosuke Okawa (Osaka University/Max Planck Institute for 
Mathematics)

Title: Compact moduli of noncommutative algebraic varieties via quivers

Abstract:
(joint works with Tarig Abdelgadir and Kazushi Ueda). It is known that 
the category of coherent sheaves on certain varieties, such as 
projective spaces and del Pezzo surfaces, are derived equivalent to the 
category of representations of certain quivers with relations. When we 
allow the variety to deform, even into the noncommutative directions, 
the relations of the quiver also deform correspondingly (with the quiver 
unchanged). This allows us to construct `approximate' compactified 
moduli space of noncommutative deformations of such varieties as the 
moduli space of relations of the corresponding quiver. In this talk I 
will explain the generality of this construction and what we know so far 
in the case of del Pezzo surfaces.


Venue: Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)