Categorification of Verma modules
Donnerstag, 21.4.16, 10:45-11:45, Raum 403, Eckerstr. 1
A quick tour of tensor triangular geometry
Freitag, 22.4.16, 10:15-11:15, Raum 404, Eckerstr. 1
We shall recall the motivation to study tensor triangulated categories\nthrough the geometric invariant called the "spectrum". We shall then see how some of the well-known classification results due to Hopkins-Smith, Neeman, Thomason, Benson-Carlson-Rickard, and others, can be elegantly expressed using that spectrum. Finally, we shall see how new techniques of separable extensions of tensor-triangulated categories allow to approach new computations of such spectra, thus obtaining new classification results, for instance in equivariant stable homotopy theory.
Automorphism group of projective varieties with a view towards the dynamics
Freitag, 29.4.16, 10:15-11:15, Raum 404, Eckerstr. 1
We report our recent results on automorphism groups of normal projective varieties,\nfrom the viewpoints of the minimal model program in birational geometry and the study\nof dynamics.
The p-canonical basis of Hecke algebras
Freitag, 27.5.16, 10:15-11:15, Raum 404, Eckerstr. 1
Complex multiplication and K3 surfaces over finite fields
Freitag, 17.6.16, 10:15-11:15, Raum 404, Eckerstr. 1
The zeta function of a K3 surface over a finite field satisfies a number of obvious (archimedean and l-adic) constraints and a number of less obvious (p-adic) constraints. We consider the converse question, in the style of Honda-Tate: given a rational function Z satisfying all these constraints, does there exist a K3 surface whose zeta-function equals Z?
Formulas for special values of zeta-functions of schemes over Spec Z.
Freitag, 24.6.16, 10:15-11:15, Raum 404, Eckerstr. 1
Algebraic part of motivic cohomology
Freitag, 8.7.16, 10:15-11:15, Raum 404, Eckerstr. 1