Academy of Mathematics and Systems Science, CAS                         Colloquia & Seminars                                                   |                                                                                                                           | Speaker: |                                                 Dr. Ya Deng, University of Gothenburg                          |                                                                  | Inviter: |                          |                                                                                          Title:                          |                         Strong positivity of the logarithmic cotangent bundles |                                                                                          Time & Venue:                          |                         2019.8.29 16:00-17:00 C110 |                                                                                          Abstract:                          |                         I will ?rst explain the “strongest positivity” which the logarithmic cotangent bundle of a log pair can possess. Then I will discuss a strategy to construct examples of log pairs whose log cotangent bundles have such strong positivity properties. These examples are constructed from any smooth n-dimensional complex projective varieties by considering the sum of at least n general su?ciently ample hypersurfaces. This result can be seen as a logarithmic counterpart of the Debarre conjecture, which was proved by Brotbek-Darondeau, Song-Yan Xie in 2015 independently. This work is jointly with Damian Brotbek. |                                                                   |                                                                           |                                                                |