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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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