Integrable hierarchies and growth problems

Dmitry Vasiliev (Moscow Institute for Physics and Technology, Russi)

Tuesday 18th October, 2011 15:00-16:00 Mathematics Building, room 515


Laplacian growth can be described as a particular solution of dToda hierarchy. In this talk I will discuss a modification of this problem, i.e. growth in the half plane. I will show it connection with dKP hierarchy and show particular explicit solutions of this problem. I will also discuss growth problems from the point of view of associativity equations

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