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Mihran Papikian

2012-11-16
10:30:00 - 11:30:00

R440 , Astronomy and Mathematics Building

We will review the theory of rigid-analytic uniformization of Mumford curves and their Jacobian varieties, and discuss some applications of this uniformization theory to arithmetic geometry. In particular, we will answer a question of Ribet and Takahashi concerning the component groups of the Neron models of Jacobians of Mumford curves and their optimal quotients. This is a joint work with Joe Rabinoff.