# Research

Seminars and Colloquia

Seminars are held in room S-104.   (Click talk titles to see available abstracts.)

Summer 2019 (Click to Hide)

• Fri, June 28, 2019 at 15:30--16:30. Keisuke Arai (Tokyo Denki University)
Non-existence of rational points on Shimura curves and its function field analogue
The moduli space of QM-abelian surfaces (i.e., two-dimensional abelian varieties with an action of a maximal order of a quaternion algebra) is called a Shimura curve. I will talk about non-existence of rational points on Shimura curves as well as Hasse principle violations. The moduli space of D-elliptic sheaves (or Drinfeld-Stuhler modules) is a function field analogue of a Shimura curve. I will also talk about analogous results for function fields. The latter is a joint work with Satoshi Kondo and Mihran Papikian.

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