CMSA Interdisciplinary Science: The space of vector bundles on spheres: algebra, geometry, topology


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April 7, 2022 9:00 am - 10:00 am
via Zoom Video Conferencing

Ravi Vakil - Stanford University

Bott periodicity relates vector bundles on a topological space X to vector bundles on X "times a sphere".   I’m not a topologist, so I will try to explain an algebraic or geometric incarnation, in terms of vector bundles on the Riemann sphere.   I will attempt to make the talk introductory, and (for the most part) accessible to those in all fields, at the expense of speaking informally and not getting far.   This relates to recent work of Hannah Larson, as well as joint work with (separately) Larson and Jim Bryan.

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