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比利时vs摩洛哥足彩 ,
university of california san diego

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math 292 - topology seminar

morgan opie

harvard university

vector bundles on projective spaces

abstract:

given the ubiquity of vector bundles, it is perhaps surprising that there are so many open questions about them -- even on projective spaces. in this talk, i will outline some results about vector bundles on projective spaces, including my ongoing work on complex rank 3 topological vector bundles on $cp^5$. in particular, i will describe a classification of such bundles which involves a connection to topological modular forms; a concrete, rank-preserving additive structure which allows for the construction of new rank 3 bundles on $cp^5$ from ``simple'' ones; and future directions related to this project.

host: zhouli xu

december 8, 2020

10:30 am

zoom information: meeting id: 933 6734 4286 password: topology

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