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Texas A&M University
Mathematics

Events for 05/06/2022 from all calendars

Noncommutative Geometry Seminar

iCal  iCal

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

iCal  iCal

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.