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SUMMARY:Transchromatic phenomena in the equivariant slice spectral sequenc
 e - XiaoLin Danny Shi (University of Washington)
DTSTART:20230612T104500Z
DTEND:20230612T114500Z
UID:TALK199855@talks.cam.ac.uk
DESCRIPTION:In this talk\, we will construct a stratification for the equi
 variant slice spectral sequence. This stratification is achieved through t
 he localized slice spectral sequences\, which compute the geometric fixed 
 points equipped with residual quotient group actions.&nbsp\; As an applica
 tion\, we will utilize this stratification to investigate norms of Real bo
 rdism theories and their quotients. These quotients hold significant impor
 tance in Hill&mdash\;Hopkins&mdash\;Ravenel&rsquo\;s resolution of the Ker
 vaire invariant one problem\, as well as in the study of fixed points of L
 ubin&mdash\;Tate theories by finite subgroups of the Morava stabilizer gro
 up. For these theories\, the stratification exhibits a transchromatic phen
 omenon: the slice spectral sequence of a higher height theory is stratifie
 d into distinct regions\, each isomorphic to the slice spectral sequences 
 of the lower height theories. This provides an inductive approach and vari
 ous structural insights when computing the fixed points of Lubin&mdash\;Ta
 te theories.\n&nbsp\;\nThis is joint work with Lennart Meier and Mingcong 
 Zeng.
LOCATION:Seminar Room 1\, Newton Institute
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