First meeting
Time: May 10 2015.
Venue: Room 77201 at #78 courtyard, Beijing International Center for Mathematical Research
Speakers:
Lawrence Ein (University of Illinois Chicago) and Hélène Esnault (Freie Universität Berlin)
Schedule:
9:00-10:00 coffee
10:00-11:00 Hélène Esnault: Entropy of automorphisms on surfaces in positive characteristic
Abstract: We shall review the notion of entropy in this context and show the existence of automorphisms of maximal entropy, the logarithm of a degree 22 Salem number, on a supersingular K3 surface, which thus does not lift to characteristic zero. (Based on joint work with V. Srinivas, K. Oguiso and K.Oguiso-X.Yu).
11:30-12:30 Lawrence Ein: Asymptotic syzygies
Abstract: We discuss joint work with Robert Lazarsfeld on asymptotic syzgies. We discuss our work on the gonality conjecture, which says that one can determine the gonality of a smooth curve X of genus g from the shape of the minimal resolution of the section ring of a line bundle L on X, when degree of L is sufficiently large. We also plan to discuss the shape of the minimal resolution of the section ring of (X, L), where X is a smooth projective variety of dimension n and L is a sufficiently positive line bundle on X.
Organizers
Baohua Fu, Wenfei Liu, Xiaotao Sun, Chenyang Xu
Contact
Ms. Meng Yu
No. 78 Jingchunyuan, Peking University,
Beijing, China 100871
Tel.: +(86 10) 6274 4121