Speaker: |
Wahei Hara (Kavli IPMU) |
Title: |
Spherical objects in dimension two and three |
Date (JST): |
Fri, Mar 22, 2024, 15:30 - 17:00 |
Place: |
Seminar Room B |
Abstract: |
Spherical objects are an algebro-geometric analog of the notion of Lagrangian submanifolds, and they induce symmetries of the derived category of coherent sheaves called spherical twists. During this talk we discuss the classification problem of spherical objects in various geometric settings that include partial crepant resolutions of du Val singularities and 3-fold flopping contractions with only Gorenstein terminal singularities. Our new method extends to classify all bounded t-structures in the associated null category. This is all joint work with Michael Wemyss. |