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UID:20260605T171618EDT-09662XvsWj@132.216.98.100
DTSTAMP:20260605T211618Z
DESCRIPTION:Polynomial tau functions of the Drinfeld--Sokolov hierarchies.
 \n\nIn 1985\, Drinfeld and Sokolov showed how to associate to any semi-sim
 ple Lie algebra an infinite sequence of Hamiltonian PDE's now called the D
 rinfeld--Sokolov hierarchies. They generalize the Korteweg--de Vries (KdV)
  equation and have found applications in mathematical physics and enumerat
 ive geometry. It is possible to express the components of a given solution
  as the logarithmic derivatives of one single function called the tau func
 tion. This property called the tau symmetry is essential in many situation
 s and relies on the Hamiltonian structure itself. I aim to present a way t
 o compute polynomial tau functions (the simplest ones) of any Drinfeld--So
 kolov hierarchy using the theory of Toeplitz determinants and what to do w
 ith these polynomials.\n
DTSTART:20180501T193000Z
DTEND:20180501T203000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Ann du Crest de Villeneuve\, Université d'Angers\, France
URL:/mathstat/channels/event/ann-du-crest-de-villeneuv
 e-universite-dangers-france-286862
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