第9回

日時

2019年1月25日(金) 17:30~18:30, 18:45~19:45

場所

I-siteなんば 2F S1 (I-siteなんばへは，地下鉄御堂筋線大国町駅が最寄りです．)

講演者

川谷康太郎氏(大阪大学)

タイトル

Stability conditions on morphisms on a category

アブストラクト

Let D be a triangulated category. If the space Stab(D) of stability conditions on D is not empty, each connected component of Stab(D) is a complex manifold due to Bridgeland. Let M be the category of morphisms in the category D. If D has an appropriate enhancement then M is also triangulated. In particular the space Stab(M) of stability conditions on M is well defined. Basic motivation is the comparison of Stab(D) and Stab(M). In this talk, I will explain some fundamental results for the comparison after a brief introduction of the backgrounds.