Björn Gustafsson: On moment coordinates and the string equation
Tid: On 2014-10-01 kl 13.15
Plats: Room 3721, Lindstedtsvägen 25, 7th floor, Department of mathematics, KTH
I will discuss some rather interesting structures and identities obtained when simply connected domains in the complex planes are described by using the harmonic moments as coordinates. The ideas in question arose some fifteen years ago in mathematical physics, see for example
M. Mineev-Weinstein, P. Wiegmann, A. Zabrodin: Integrable structure of interface dynamics, Physical Review Letters (2000), 84:5106.
P. Wiegmann, A. Zabrodin: Conformal maps and integrable hierarchies, Comm. Math. Phys. 213 (2000), 523-538.