SIAMUW Seminars

 

Speaker: Matt Patterson, Applied Mathematics, University of Washington

Title:

Calculus on Riemann Surfaces: The Abel Map and Riemann Constant Vector

Date: Thursday, January 29, 2004

Time: 2:30 - 3:20pm

Place: Guggenheim Room 408d


Abstract.

The Kadomtsev-Petviashvili and Korteweg-deVries equations approximate the evolution of surface gravity water waves in certain regimes. These equations have solutions parametrized by polynomials in two variables. These polynomials give rise to Riemann surfaces. In order to compute these exact solutions, certain objects that live on the Riemann surface must be calculated. I plan to talk about a few of these objects, and how they are calculated using Maple. I have been working on calculating the vector of Riemann constants associated with points on Riemann surfaces. In order to discuss this vector, I must first address the Abel map of a point on a Riemann surface.

For more information: http://www.amath.washington.edu/~siamuw

The level of talks is aimed at graduate students
in the applied math department.

Everyone welcome!