比利时vs摩洛哥足彩
,
university of california san diego
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math 292
guoqi yan
university of notre dame
$ro(c_{2^n})$-graded homotopy of eilenberg maclane spectra
abstract:
the foundation of equivariant stable homotopy theory is laid by lewis-may-steinberger in the 80's, while people's understanding of the computational aspect of the subject is very limited even until today. the reason is that the equivariant homotopy groups are $ro(g)$-graded, and even the coefficient rings of eilenberg-maclane spectra involve complicated combinatorics of cell structures. in this talk i'll illustrate the advantages of tate squares in doing $ro(g)$-graded computations. several eilenberg-maclane spectra of particular interest will be discussed: the eilenberg-maclane spectra associated with the constant mackey functors $\mathbb{z}$, $\mathbb{f}_2$, and the burnside ring. time permitting, i'll also talk about some structures of the homotopy of $hm$, for $m$ a general $c_{2^n}$-mackey functor.
host: zhouli xu
june 6, 2023
4:30 pm
apm 7321
research areas
geometry and topology****************************