Séminaire d'Homotopie et Géométrie Algébrique

Logarithmic Hochschild co/homology for logarithmically smooth schemes

by Francesca Leonardi (Universiteit Leiden)

IMT 1R2 207 (Salle Pellos)

IMT 1R2 207

Salle Pellos


In this joint work with Marci Hablicsek and Leo Herr, we investigate an adaptation of the notion of Hochschild co/homology for logarithmic schemes, encoding their combinatorics and administrating mild singularities. We set up a geometric framework to prove the Hochschild-Kostant-Rosenberg isomorphism and some desirable properties of this invariant in this logarithmic version.