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Topology seminar: Binomial rings and homotopy theory

Speaker: Geoffroy Horel (University of Paris 13)

Abstract: In a famous paper, Sullivan showed that the rational homotopy theory of finite type nilpotent spaces can be encoded in a fully faithful manner by mapping it to the homotopy category of commutative differential graded algebras over the rational numbers. For integral homotopy theory, a result of Mandell shows that it is faithfully captured by the integral cochains equipped with their E-infinity structure. This functor is however not full. I will explain a way of fixing this problem inspired by work of Toën, using cosimplicial binomial rings instead of E-infty differential graded algebras.

Dial-In Information

zoom id and instructions will be emailed later

Friday, February 10, 2023 at 2:30pm to 3:20pm

Event Type

Lecture, Colloquia, Seminar

Topic

Academics

Audience

Current students, Faculty

Department
Mathematics, Department of
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