Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

Chromatic invariants of vector bundles on projective spaces

Morgan Opie, Department of Mathematics, UCLA,

In this talk, I will discuss my ongoing work on complex rank 3 topological vector bundles on CP^5. I will describe a classification of such bundles using twisted, topological modular form-valued invariants, and the subtleties involved in actually computing this invariant. As time allows, I will outline future chromatic directions suggested by this result and by prior work of Atiyah and Rees.

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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://sites.google.com/site/caltechgtseminar/home.