Talk 1: Foliated topology, an introduction.
Thursday, May 22 (Oberseminar) 16:45-17:45
Abstract: The idea of the foliated topology will be explained using analogy with
the etale topology (the precise definition will be given in Talk 3).
We define the foliated homotopy type of a variety (or a foliation)
and state a theorem given a complete description of the foliated
homotopy type of the generic point of a variety. We explain how this
can be used to compute the foliated cohomology with values in discrete
Talk 2: A quick introduction to differential algebra.
Friday, May 23, 14-16 Uhr, N-U-3.04
Abstract: We cover some basic notions and tools from differential algebra
such as Malgrange involutivity theorem which will play an important
role later. We recall the classical differential Galois theory
of Picard-Vessiot and Kolchin.
Talk 3: Foliated topology, definitions.
Monday, May 26, 16-18 Uhr, N-U-4.04
Abstract: We recall the notion of a (schematic) foliation and explain
some basic constructions. We also make the link with differential algebras.
Then, we give the precise definition of a foliated cover leading to
the foliated topology. We end with some basic properties.
Talk 4: Foliated homotopy type and computation.
Tuesday, May 27, 14-16 Uhr, N-U-4.04
Abstract: The goal of this lecture is to explain the computation of the
foliated homotopy type of the generic point of an algebraic
varieties. We give some computational applications.
Talk 5: Miscellaneous.
Wednesday, May 28, 14-16 Uhr, N-U-3.01
Topics to be determined, suggestions from the audience welcome!