比利时vs摩洛哥足彩
,
university of california san diego
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math 292 - topology seminar
yang hu
university of oregon
metastable complex vector bundles over complex projective spaces
abstract:
we study unstable topological complex vector bundles over complex projective spaces. it is a classical problem in algebraic topology to count the number of rank $r$ bundles over $\mathbb{c}p^n$ (with $1 < r < n$) having fixed chern class data. a particular case is when the chern data is trivial, which we call the vanishing chern enumeration. we apply a modern tool, weiss calculus, to produce the vanishing chern enumeration in the first two unstable cases (which belong to what we call the "metastable" range, following mark mahowald), namely rank $(n - 1)$ bundles over $\mathbb{c}p^n$ for $n > 2$, and rank $(n - 2)$ bundles over $\mathbb{c}p^n$ for $n > 3$.
host: zhouli xu
april 26, 2022
1:00 pm
https://ucsd.zoom.us/j/99777474063
password: topology
research areas
geometry and topology****************************
