Berkeley-Tokyo Summer School "Geometry, Representation Theory, and Mathematical Physics": Spaces of stability conditions on the Calabi-Yau categories associated with quivers I

Seminar | August 23 | 10-11:30 a.m. | 375 LeConte Hall

 Akishi Ikeda, UC Tokyo

 Department of Mathematics

The aim of this lecture is to introduce the spaces of Bridgeland stability conditions on the Calabi-Yau categories associated with quivers. In the first part, we introduce the space of Bridgeland stability conditions on a triangulated category and review its basic properties. We also see examples of stability conditions. In the second part, we see known results about the spaces of stability conditons on the derived categories of Calabi-Yau algebras of quivers in terms of root systems and period integrals.

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