Oberseminar Algebra und Darstellungstheorie

Degenerations in graded quiver varieties and derived categories of Dynkin quivers

by Fang Yang (MPIM Bonn)

Europe/Berlin
Endenicher Allee 60/1-008-Seminarraum (Mathezentrum)

Endenicher Allee 60/1-008-Seminarraum

Mathezentrum

Description

For any acyclic quiver, Keller–Scherotzke provided a stratifying functor from the category of finite-dimensional modules of the singular Nakajima category to the derived category of the quiver. Under this functor, a degeneration of strata of a graded quiver variety corresponds to a degeneration, in the sense of Jensen–Su–Zimmermann, in the derived category. In this article, for any Dynkin quiver, we further investigate Jensen–Su–Zimmermann’s partial order and show that any degeneration of objects in the derived category can be obtained in this way.