q-bic Hypersurfaces

Abstract: One of the funny features of geometry in positive characteristic is that equations behave of lower degree than they seem. In this talk, I would like to convince you that Fermat hypersurfaces of degree $q + 1$, $q$ a power of the ground field characteristic, is geometrically analogous to quadric and cubic hypersurfaces. To me, this example suggests a theme with which to understand some geometric features in positive characteristic, like the unexpected abundance of rational curves in certain varieties.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.