Morgan Opie (Harvard):
Complex rank 3 vector bundles on CP^5
Zeit und Ort
Freitag, 12.2.21, 15:00-16:00, zoom
Zusammenfassung
Given the ubiquity of vector bundles, it is perhaps\nsurprising that there are so many open questions about them -- even on\nprojective spaces. In this talk, I will outline some results about\nvector bundles on projective spaces, including my ongoing work on\ncomplex rank 3 topological vector bundles on CP^5. In particular, I\nwill describe a classification of topological bundles which involves a\nsurprising connection to topological modular forms; a concrete,\nrank-preserving additive structure which allows for the construction of\nnew rank 3 bundles on CP^5 from "simple" ones; and future directions\nrelated to this project, including questions I have about how to make\nthis picture more "algebraic".\n