Conferenciante: Christian Kassel, de la CNRS & Université de Strasbourg.
Fecha: Jueves, 12 de noviembre de 2009.
Hora: 12 horas.
Lugar: Seminario del Departamento de Álgebra y Análisis Matemático (1.22.0 – CITE III).
Resumen: Principal homogeneous spaces or G-torsors are familiar objects in geometry.
I’ll present an extension of such objects to “non-commutative geometry”, i.e., to the world of quantum groups or of Hopf algebras.
When G is a finite group, non-commutative G-torsors are governed by a group that has both an arithmetic component and a geometric one. The arithmetic part is given by a classical Galois cohomology group; the geometric input is encoded in a (not necessarily abelian) group that takes into account all normal abelian subgroups of G of central type.
Various examples will be exhibited.
