MS Seminar (Mathematics - String Theory)

Speaker: Ryo Ookawa (Tokyo Institue of Technology)
Title: Moduli of Bridgeland semistable objects on the projective plane
Date (JST): Thu, Jan 22, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Related File: 35.pdf
Abstract: We give another proof of Le Potier's result and some variants on moduli spaces of semistable sheaves on the projective plane, using the Bridgeland stability conditions. This theorem says that every moduli scheme of semistable sheaves on the projective plane coincides with a moduli scheme of semistable modules over a certain finite dimensional algebra. Similar results are obtained in case of the smooth quadric surface. As an application we study the wall-crossing phenomena of the Hilbert schemes of points on the projective plane.