YMSC Topology Seminar | Invariants of real vector bundles

Time：Monday, 16:00-17:00 May 20, 2024

Venue：Zoom meeting ID: 405 416 0815 Password: 111111

Organizer：陈伟彦、高鸿灏、黄意、林剑锋

Speaker：Jiahao HU 胡家昊 (CUNY)

Abstract：

I will describe a complete set of numerical invariants for deciding whether a real vector bundle is stably trivial. These invariants are integers and rational angles which will be a priori given in contrast to the usual theory of secondary characteristic classes. The definition of these invariants features a duality between the reals and quaternions, moreover a quaternionic version of index theory, in particular for Dirac type operators on quaternionic spin manifolds, is invoked.

DATEMay 19, 2024

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