3:30 pm Thursday, September 7, 2017
Geometry Seminar: Donaldson-Thomas transformation of Grassmannian by
Daping Weng in RLM 9th floor
On the one hand, there is a 3d Calabi Yau category with stability conditions associated to a quiver without loops or 2-cycles with generic potential, and one can study its Donaldson-Thomas invariants. On the other hand, such a quiver also defines a cluster Poisson variety, which often has geometric realizations. In certain cases, the Donaldson-Thomas invariants of the former can be captured by a birational automorphism of the latter. In this talk, I will describe the cluster Poisson structure on the moduli space of configurations of points in a projective space, and state my result on the geometric realization of the corresponding cluster Donaldson-Thomas transformation. Submitted by
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