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Seminar

On the arithmetic of hyperelliptic curves: Arithmetic invariant theory (Bowen Lecture) October 11, 2012 (04:00 PM PDT - 05:00 PM PDT)
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Location: UC Berkeley
Speaker(s) Benedict Gross
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Series Title: On the arithmetic of hyperelliptic curves

Thursday October 11th
Lecture 3: Arithmetic invariant theory
60 Evans Hall

Abstract:
I will describe a representation of the orthogonal group whose stable orbits are related to the 2-descent on hyperelliptic curves of a fixed genus with a rational Weierstrass point, and construct the principal homogeneous spaces for the Jacobian using pencils of quadrics.

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