MATH Semineri: “Twisted Homology Operations”, Calista Bernard, 13.30 8 Mart (EN)

You are cordially invited to the Topology Seminar organized by the Department of Mathematics.

Speaker: Calista Bernard (Stanford University)
“Twisted homology operations”

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–Lashof 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’s 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.

Date: Mar 8, 2021
Time: 13:30 UTC+3

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