Fri, December 10, 2021
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6:00pm [6:30pm] Claudiu Raicu, University of Notre Dame, Notre Dame, IN, USA
Description:
Speaker: Claudiu Raicu, University of Notre Dame, Notre Dame, IN, USA. Date/Time: 10 December 2021, 6:30pm IST/ 1:00pm GMT / 8:00am ET (joining time 6:15pm IST). Gmeet link: meet.google.com/oby-gwst-pko 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. For more information and links to previous seminars, visit the website of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar