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eilbeck-ws15

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrmvyptgu@uolpnw.dea54u

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrmvyptgu@uolpnw.dea54u

Coordinators

Prof. Dr. Florian Hess
florian.hess@uol.de/y<br />enfem (florian.hess@vy+kuol.de)Phone: +49 (0) 441 798-2906


Prof. Dr. Andreas Stein
andhqqgireaz+tas.szletein5i7@uol.djae<ouunbr /db1l>d9md (andreas.st7swei2il4n@uol.dej+dk)Phone: +49 (0) 441 798-3232

Talk

Chris Eilbeck (Heriot-Watt University)

10.12.2015 - W01 0-012 (Wechloy), 16 Uhr c.t.

Generalizations of the Weierstrass sigma function, discriminants, and heat equations

Abstract: The solutions of many interesting nonlinear wave equations can be written down in terms of Weierstrass $\wp$ functions and their generalizations to higher genus. In turn the $\wp$ functions are just the 2nd logarithmic derivatives of a entire function, the Weierstrass $\sigma$ function generalized to genus $g$. We discuss the properties of the $\sigma$ function associated with a plane curve of genus $g$. These functions satisfy sets of interesting linear parabolic PDEs. These PDEs can be used to form linear but complicated recurrence relations for the coefficients of the sigma expansion. A connection with the discriminant of the associated curve is also highlighted.

Webg5fbmpquzaswopk8terci (intsq1cernqgid8et@uol.de) (Stand: 07.11.2019)