Raymond Cheng (Columbia)
Abstract: Let’s count: 1, $q$, $q+1$; here, $q$ is a power of a prime $p$. In this talk, I will sketch an analogy between the geometry of a class of hypersurfaces over a field of positive characteristic $p$, which I call $q$-bic hypersurfaces, and the geometry of low degree hypersurfaces, such as quadrics and cubics, over the complex numbers. For instance, a smooth $q$-bic threefold has a smooth Fano surface of lines, and the intermediate Jacobian of the threefold is isogenous to the Albanese of the Fano surface.
Audience: researchers in the topic
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More seminar information (including slides and videos, when available): agstanford.com
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