Last Update 2020/05/22
My research interests are describing the spaces of Bridgeland stability conditions on the derived categories of Calabi-Yau algebras and to study the relationships between these spaces and Frobenius manifolds. In my recent work, I determined the spaces of stability conditions for two dimensional Calabi-Yau algebras associated with quivers by using the theory of root systems. And for higher dimensional Calabi-Yau algebras of type A, I made clear the relationship between the spaces of stability conditions and Frobenius manifolds.
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