Conferences - Seminars

  Tuesday 14 November 2017 10:15 - 11:10 CM 0 12

Topology Seminar: Motivic infinite loop spaces

By Adeel Khan (Universität Regensburg)

Given a topological space X, May’s recognition principle says that a structure of infinite loop space on X is equivalent to a group-like $E_\infty$-monoid structure.  We will discuss an analogous result in motivic homotopy theory which says that a structure of infinite P^1-loop space on a motivic space X is equivalent to a homotopy coherent system of certain transfer maps.  This is based on an analogue of the Pontrjagin-Thom construction which identifies stable homotopy groups of spheres with groups of framed bordisms.  This is joint work with E. Elmanto, M. Hoyois, V. Sosnilo and M. Yakerson.

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