Events Calendar
Oct 16
14:00 - 15:00
Mathematical Physics & Integrable Systems seminar: Yuji Kodama (Ohio State University, USA)
SMSAS Mathematical Physics seminars
On the rational solutions and the solitons of the KP hierarchy Part 1

Little more information of the content: It is well known that the Schur polynomials give rational solutions of the KP hierarchy, and that each Schur polynomial can be parametrized by a unique Young diagram. We also know that the KP solitons (exponential solutions) can be parametrized by certain decomposition of the Grassmannians. In the talks, I will explain the connection between the rational solutions and the KP solitons in terms of the Young diagrams. More explicitly, I will show how one gets a rational solution describing the most degenerate zero locus of the tau-function from a KP soliton. I will also discuss a connection between quasi-periodic solutions (theta or sigma functions) and the KP solitons. The rational solutions then give theta divisors of certain algebraic curves.

Location

SR2,
Sibson Building (SibSR2)
United Kingdom
Map

Details

Open to All interested persons,

Contact: Dr Pavlos Xenitidis
E: P.Xenitidis@kent.ac.uk
School of Mathematics, Statistics and Actuarial Science

 

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