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Arithmetic Geometry Seminar - Raymond Cheng

Arithmetic Geometry Seminar
February 25, 2020
4:15PM - 5:10PM
Cockins Hall 228

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Add to Calendar 2020-02-25 16:15:00 2020-02-25 17:10:00 Arithmetic Geometry Seminar - Raymond Cheng Title: q-bic Hypersurfaces Speaker: Raymond Cheng - Columbia University Abstract: The geometry of Fano hypersurfaces, especially over the complex numbers, is a classical and rich subject. Many of their remarkable features may be understood through their abundance of low degree rational curves. This talk will discuss a class of hypersurfaces in positive characteristic p which exhibits geometric properties, such as unirationality and smoothness of schemes of linear spaces, classically expected only of quadrics and cubics. These phenomena are related to the modular representation theory of general linear groups. Seminar Link   Cockins Hall 228 Department of Mathematics math@osu.edu America/New_York public

Title: q-bic Hypersurfaces

Speaker: Raymond Cheng - Columbia University

Abstract: The geometry of Fano hypersurfaces, especially over the complex numbers, is a classical and rich subject. Many of their remarkable features may be understood through their abundance of low degree rational curves. This talk will discuss a class of hypersurfaces in positive characteristic p which exhibits geometric properties, such as unirationality and smoothness of schemes of linear spaces, classically expected only of quadrics and cubics. These phenomena are related to the modular representation theory of general linear groups.

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