Tame topology and algebraic geometry
Freitag, 7.6.19, 10:30-11:30, Raum 404, Ernst-Zermelo-Str. 1
In the 80's Grothendieck argued that general topology, which was developed for the needs of analysis, should be replaced by a "tame topology" if one wants to study the topological properties of natural geometric forms. Such a tame topology was developed by model theorists under the name "o-minimal structures". In this talk I will review the notion of o-minimal structure, and some of its applications to complex algebraic geometry, in particular for studying periods of algebraic varieties.\n\n
Motives
Freitag, 21.6.19, 10:30-11:30, Raum 404, Ernst-Zermelo-Str. 1
I am going to give an informal survey of the different theories of motives and how they relate.
Constructible sheaves
Freitag, 28.6.19, 10:30-11:30, Raum 404, Ernst-Zermelo-Str. 1
Given a stratified topological space, we answer the question whether the functor from the derived category of constructible sheaves to the derived category of sheaves with constructible cohomology is an equivalence.\nBasic facts on locally constant sheaves and constructible sheaves will be explained. This is joint work with Valery Lunts and Jörg Schürmann.