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. | | | |