Tuesday, April 4, 15:15, 7.527
Gustavo Jasso (Bonn),
Spherical objects in higher Auslander-Reiten theory
Abstract:
Spherical objects were introduced by Seidel and Thomas in 2001, motivated
by Kontsevich's Homological Mirror Symmetry Conjecture. In this talk I will
explain how to construct a family of triangulated categories T(d,m)
containing dm-spherical objects.From the viewpoint of Iyama's higher
Auslander-Reiten theory, these categories should be thought of as higher
dimensional analogues of the triangulated category generated by an
m-spherical object. This is a report on joint work in progress with Julian
Külshammer.