Speaker: Kirong Chung (Kyungpook National University)

When: Sep. 19th (Thurs) 16:00 -- 17:15
Where: Building 110, Room N.103

Title: Geometry of Rational Curves

Abstract: The parameter space of rational curves in Grassmanian variety has been studied in various perspectives: Birational geometry, Hyper-Kahler geometry, and Enumerate geometry. In this talk, we start with recalling history of rational curves at the graduate level. Using the space of rational curves, we calculate the intersection Poincare polynomial of the moduli space for sheaves on del Pezzo surfaces. This provides some interesting conjecture related to Donaldson--Thomas invariants.