You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Calista Bernard (Stanford University)
\n\u201cTwisted homology operations\u201d<\/p>\n
Abstract: In the 70s, Fred Cohen and Peter May gave a description of the mod $p$ homology of a free $E_n$-algebra in terms of certain homology operations, known as Dyer\u2013Lashof operations, and the Browder bracket. These operations capture the failure of the $E_n$ multiplication to be strictly commutative, and they prove useful for computations. After reviewing the main ideas from May and Cohen\u2019s work, I will discuss a framework to generalize these operations to homology with certain twisted coefficient systems and give a complete classification of twisted operations for $E_{infty}$-algebras. I will also explain computational results that show the existence of new operations for $E_2$-algebras.<\/p>\n
Date: Mar 8, 2021
\nTime: 13:30 UTC+3<\/p>\n
This is an online seminar. To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Calista Bernard (Stanford University) \u201cTwisted homology operations\u201d Abstract: In the 70s, Fred Cohen and Peter May gave a description of the mod $p$ homology of a free $E_n$-algebra in terms of certain homology operations, known [\u2026] <\/p>\n