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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Numerical Analysis Seminars: Some computations involving theta-functions

Presented by Chris Eilbeck (Heriot-Watt),

25 February 2005 14:00 in CM105

"I will discuss two topics involving the efficient evaluations of theta functions connected with algebraic curves and integrable systems. These are of interest on both practical and theoretical grounds. One is the use of the Richelot transformation to evaluate genus two hyperelliptic integrals, a generalization of the Algebraic-Geometric Mean of Gauss. The other is the study of reducible period matrices, when the algebraic curve is a cover of one or more of lower genus. In this case the higher genus theta function can be written as a sum of products of lower genus (often g=1) theta functions. "


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