Get-together Math Seminar

Speaker: Yukinobu Toda (Kavli IPMU)
Title: MMP via stability conditions
Date (JST): Thu, Sep 27, 2012, 15:30 - 17:00
Place: Seminar Room A
Abstract: I will propose a conjecture which claims that the Minimal Model Program for a smooth projective variety is realized as a variation of Bridgeland moduli spaces of semistable objects in the derived category of coherent sheaves on it. I will discuss the surface case and extremal contractions for 3-folds. in the former case, the conjecture is completely solved. In the latter case, the conjecture is related to a conjectural Bogomolov-Gieseker type inequality evaluating the third Chern characters of certain semistable objects in the derived category.