Event time:
Tuesday, September 19, 2017 - 4:15pm to 5:15pm
Location:
LOM 205
Speaker:
Daping Weng
Speaker affiliation:
Yale
Event description:
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.