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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

sarah petersen

university of notre dame

the $ro(c_2)$-graded homology of $c_2$-equivariant eilenberg-maclane spaces

abstract:

this talk describes work in progress computing the $h\underline{\mathbb{f}}_2$ homology of the $c_2$-equivariant eilenberg-maclane spaces associated to the constant mackey functor $\underline{\mathbb{f}}_2$. we extend a hopf ring argument of ravenel-wilson computing the mod p homology of non-equivariant eilenberg-maclane spaces to the $ro(c_2)$-graded setting. an important tool that arises in this equivariant context is the twisted bar spectral sequence which is quite complicated, lacking an explicit $e^2$ page and having arbitrarily long equivariant degree shifting differentials. we avoid working directly with these differentials and instead use a computational lemma of behrens-wilson along with norm and restriction maps to complete the computation.

zhouli xu

january 18, 2022

1:00 pm

https://ucsd.zoom.us/j/99777474063
password: topology

research areas

geometry and topology

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