Frédéric Déglise - Motivic categories II
Channel: IAS | Park City Mathematics Institute | PCMI
Date: 19/07/2021

PCMI 2021 Graduate Summer School

Topic: Motivic categories II
Speaker: Frédéric Déglise 
Affiliation: ENS de Lyon, UMPA
Date: July 15, 2021

Abstract
Building on initial conjectures due to Beilinson, Voevodsky has initiated a rich variety of "motivic categories", the universal one being Morel-Voevodsky's homotopy category. This world, that is now called "motivic homotopy theory", has produced a wide range of results, settling older conjectures as well as opening new tracks to follow.
This lecture series will aim at giving a survey of this world, from the pure motivic origin, through the functoriality developments and then to some of the exciting open questions.
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