Algebra/Topology seminar

Speaker: Elden Elmanto (KU)

Title: Particle Spaces and Power Operations in Algebraic Geometry: A Guided Tour

Abstract: We will take a leisurely tour along the sequence of algebraic particle spaces, Conf → Hilb^fr → Hilb^fsyn → Sym^∞, the last three of which is the zero-th space of a motivic spectrum (up to group completion). Along the way, we will explain the construction of certain power operations on them and, more generally, on normed motivic spaces/spectra.

This talk combines results with Hoyois, Khan, Sosnilo and Yakerson as well as with Bachmann and Heller.