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Algebra and Geometry Seminar/Number Theory Seminar

Monday, October 28, 2019
4:00pm to 5:00pm
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Linde Hall 387
Moduli of Drinfeld shtukas over the projective line
Jared Weinstein, Department of Mathematics, Boston University,

Elliptic curves over the rationals are modular. This means either of two equivalent conditions: an automorphic condition (the L-function is meromorphic, with functional equation), and a geometric condition (there is a uniformization by a modular curve). For elliptic curves over global function fields, there is a similar story, where the role of modular curves is played by Drinfeld modular curves. In this setting we can hope for a more strict version of the geometric condition, involving moduli spaces of shtukas. We'll explain this, along with some explicit descriptions of moduli spaces of shtukas over the projective line.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.