University Crest
School of Mathematics and Statistics
Computational Algebra Group

Carslaw building

Algebra Seminar
Algebraic Geometry Seminar
Computational Algebra Seminar
Other Seminars


University of Sydney

School of Mathematics and Statistics

Computational Arithmetic Geometry Seminar

10:05 - 10.55 (+ epilogue until 11.30) in Carslaw 709 on Friday 21 March

Paul van Wamelen

Theta functions and Jacobians of hyperelliptic curves

I'll recall the definition of the theta function and some of the beautiful identities they satisfy. I'll then explain how theta functions can be used to describe the Jacobian of an hyperelliptic curve. This description will be contrasted with other descriptions of the Jacobian. I'll then pose a problem whose solution might give us the best of both the analytic and the arithmetic viewpoint.