|Speaker:||Akishi Ikeda (U Tokyo)|
|Title:||Stability conditions for an $N$-Calabi-Yau algebra of the $A_n$-quiver|
|Date (JST):||Mon, Apr 14, 2014, 13:15 - 14:45|
|Place:||Seminar Room B|
Recently, Bridgeland and Smith proved that the moduli spaces of quadratic differentials with simple zeros can be identified with the spaces of stability conditions on $3$-Calabi-Yau categories associated with triangulations of marked bordered surfaces.
In this talk, by using some generalizations of Bridgeland-Smith's theory, we prove that the universal cover of the space of polynomials of degree $(n+1)$ with simple zeros is isomorphic to the space of stability conditions on the derived category of finite dimensional dg modules over the Ginzburg $N$-Calabi-Yau dg algebra associated with the $A_n$-quiver.