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Monday, January 25, 2016
4:00 PM - 5:00 PM

Algebraic Geometry Seminar

Motivic vector bundles on P^n
Aravid Asok, Associate Professor, Mathematics, USC,

It is a classical problem to determine which complex topological vector bundles on P^n admit an algebraic structure. We will discuss ``obstructions" to equipping a bundle with an algebraic structure coming from A^1-homotopy theory (though I won't presuppose any knowledge of A^1-homotopy theory). The main goal of the talk is to analyze the question of whether some rank 2 bundles on P^{n} constructed by Elmer Rees using homotopy theoretic techniques admit an algebraic structure. This talk is based on joint work with Jean Fasel and Mike Hopkins.

For more information, please contact Pablo Solis by email at pablos@caltech.edu or visit http://www.its.caltech.edu/~pablos/seminars.html.