Events for 05/06/2022 from all calendars
Noncommutative Geometry Seminar
Time: 2:00PM - 3:00PM
Location: ZOOM
Speaker: Yves Andre, Institut de Mathématiques de Jussieu
Title: A Remark on the Tate Conjecture
Abstract: The Tate conjecture has two parts: i) Tate classes are generated by algebraic classes, ii) semisimplicity of Galois representations coming from pure motives. In a recent note with the same title, B. Moonen proved that i) implies ii) in characteristic 0. I’ll recast his result in the framework of observability theory, and discuss the case of positive characteristic.
URL: Event link
Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 628
Speaker: Claudiu Raicu, University of Notre Dame
Title: Cohomology of line bundles on the incidence correspondence
Abstract: Let X denote the incidence correspondence (or partial flag variety) parametrizing pairs consisting of a point in projective space and a hyperplane containing it. I will explain how to characterize the vanishing and non-vanishing behavior of the cohomology groups of line bundles on X over an arbitrary field. For the projective plane, the results are contained in the thesis of Griffith from the 70s, while in characteristic zero the cohomology groups are described in any dimension by the Borel-Weil-Bott theorem. Joint work with Zhao Gao.