Mathematics Colloquia at SISSA

[Emanuele Tuillier Illingworth]

Dear all,
the next mathematics colloquia will take place at SISSA main building on

*Tuesday the 15th  of November,  4.00pm,  room 5*

Speaker: Boris L. Feign, Department of Mathematics of  Higher School of 
Economics, Moscow, Russia

Title: Toroidal algebras, W- algebras and geometry

Abstract:  in  this talk I will explain the definition of shuffle 
algebras. Construction of shuffle algebras is simple and general.
As a special cases we get  affine quantum groups, Sklyanin algebras, 
toroidal algebras and, in the limit, vertex operator algebras.
Sometimes  in the limit we have familiar conformal theories  related 
with W-algebras. I will  present several examples  and applications.
Most popular applications  are based on the fact that toroidal-like 
algebras are acting in the K-theory of modular spaces by
Nakajima-type correspondence.


*Wednesday  the 14th  of December, 4.00pm, room 128 *

Speaker: Daniele Boffi, Professor of Numerical Analysis,  Dipartimento 
di Matematica "F. Casorati", Università di Pavia.

Title: Finite element approximation of resonant modes for the Maxwell 
cavity problem

Abstract: The resonant modes of time harmonic Maxwell equations can be 
identified with the eigensolutions of a
problem represented by a variational formulation in mixed form. In this 
talk we review the finite element approximation
of eigenvalue problems arising from partial differential equations. In 
particular, it will be shown that the analysis of mixed
problems differs significantly from that of standard Galerkin 
formulations. We will show how these results can be applied
to the a priori analysis of Maxwell's eigenvalue problem and we will 
give some indications on how the a posteriori analysis can be performed.

Everybody is welcome