Monique Lejeune Jalabert

Charla: 10 de junio de 2014 en la Facultad de Ciencias de la UVa.

Título: On some open problems concerning the space of arcs of a singular
algebraic variety.

Resumen: I shall first recall the definition of the space of arcs of an
algebraic variety V,
and the problem, proposed by J.Nash in the mid-sixties, concerning the
irreducible
components of the subscheme of those arcs centered in the singular locus of V.
Then I will formulate some questions concerning these irreducible components,
which stay open. Next, I will formulate questions on the graded algebra
structure
of the space of those arcs centered in a given point of V.