In this seminar I will report about an ongoing research with D. Valeri. It is known that classical affine Walgebras arise from a generalized DrinfeldSokolov reduction of a simple Lie algebra. Using the language of Poisson Vertex Algebra we are able to perform such reduction for any simple Lie algebra and nilpotent orbit, with limited computational effort. As already observed by O. Pavlyk and Y. Dinar for the D4 subregular case, the biHamiltonian structures of classical Walgebras do not admit a dispersionless limit when the reduction has been obtained from any but the principal nilpotent orbit. A suitable Dirac reduction, however, allows to perform the limit and to obtain a biHamiltonian pencil of hydrodynamic type. I will present Pavlyk and Dinar examples, as well as some new ones obtained by A type Lie algebras.
You are here
Dispersionless limit for the biHamiltonian structure of classical affine Walgebras
Research Group:
Matteo Casati
Institution:
Università di Bergamo
Schedule:
Wednesday, May 4, 2016  14:30
Location:
A136
Abstract:
Openings
 Public Calls for Professors
 Temporary Professors/Researchers/Visiting Professors
 SISSA Mathematical Fellowships
 Marie SklodowskaCurie Grants
 Post Doctoral Fellowships
 PhD Scolarships
 SIS Fellowships
 Undergraduate Fellowships
 Postgraduate Fellowships
 MSc in Mathematics
 MSc in Data Science and Scientific Computing (DSSC)
 Professional Master Courses
 The Boris Dubrovin Medal
Upcoming events

Emanuele Caputo
Introduction to calculus on metric measure spaces and the problem of the parallel transport
Friday, July 3, 2020  14:00

Francesco Nobili
The problem of (in)dependence on p of weak gradients
Friday, July 3, 2020  15:00

Lectures on K3 surfaces
Friday, July 3, 2020  16:00 to 17:00
Today's Lectures

14:00 to 16:00
Recent publications

S. Georgaka; G. Stabile; K. Star; G. Rozza; M.J. Bluck,A hybrid reduced order method...

D. Riccobelli; G. Bevilacqua,Surface tension controls the o...

E.N. Karatzas; G. Stabile; N. Atallah; G. Scovazzi; G. Rozza,A Reduced Order Approach for t...

D. Agostinelli; R. Cerbino; J.C. Del Alamo; A. DeSimone; S. Höhn; C. Micheletti; G. Noselli; E. Sharon; J. Yeomans,MicroMotility: State of the ar...