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$E_2$ formality via obstruction theory

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Speaker: 
Geoffroy Horel
Affiliation: 
Université Sorbonne Paris Nord
Date: 
Tue, 12/11/2024 - 14:00 - 15:00
Location: 
MPIM Lecture Hall

I will explain how to approach the question of $E_2$-formality of differential graded algebras over a prime field via obstruction theory. In particular, $E_2$-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As a consequence we can prove $E_2$-formality of the classifying space of some compact Lie group or of Davis-Januszkiewicz spaces.

 

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