Academy of Mathematics and Systems Science, CAS                         Colloquia & Seminars                                                   |                                                                                                                           | Speaker: |                                                 Prof. Xinyi Yuan ,Peking University                          |                                                                  | Inviter: |                          |                                                                                          Title:                          |                         Adelic line bundles              over quasi-projective varieties and the uniform Mordell-Lang problem |                                                                                          Time & Venue:                          |                         2021.05.20 15:30-17:30              MCM110 & ZOOM (Zoom ID: 466 356 2952 Passcode: mcm1234) |                                                                                          Abstract:                          |                                                 This talk consists of two parts. The first part sketches a theory                of adelic line bundles and equidistribution over quasi-projective                varieties, introduced in my recent joint work with Shou-Wu Zhang.                The second part talks about my recent treatment of the uniform Mordell-Lang                problem using adelic line bundles, which extends the breakthrough                of Dimitrov-Gao-Habegger and Kuhne on this problem to base fields                of all characteristics by a different method.                          |                                                                   |                                                                           |                                                                |