Exceptional collections on moduli spaces of stable rational curves

Date/heure
3 décembre 2018
15:30 - 16:30

Oratrice ou orateur
Ana-Maria Castravet

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

A question of Orlov is whether the derived category of the Grothendieck-Knudsen moduli space M(0,n) of stable, rational curves with n markings admits a full, strong, exceptional collection that is invariant under the action of the symmetric group S_n. A consequence of the conjecture is
that the S_n representation given by the cohomology is a permutation representation. After an introduction to moduli
spaces of stable rational curves and exceptional collections, I will present an approach towards answering this question (joint work with Jenia Tevelev).