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Homotopy type of the moduli space of stable rational curves

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Speaker: 
Vladimir Dotsenko
Affiliation: 
Trinity College Dublin
Date: 
Fri, 2019-05-10 13:00 - 14:00
Location: 
MPIM Lecture Hall

I shall show that the rational cohomology of the moduli space of stable rational curves is a Koszul algebra (answering a question of Yu. I. Manin, D. Petersen and V. Reiner), and explain how this allows one to compute the rational homotopy invariants of this space in a very explicit way. Time permitting, I shall talk about a few classes of spaces for which similar results are available, and a few other conjectural classes of spaces like that.
 

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