Singular Hochschild cohomology and higher algebraic structure

Nom de l'orateur
Zhengfang Wang (Paris)
Etablissement de l'orateur
Institut de Mathématiques de Jussieu
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole

We dene the singular Hochschild cohomology for an associative algebra, which is a generalization of Hochshcild cohomolgy motivated from the investigation on singularities of algebraic varieties. In this talk, we construct a Gerstenhaber algebra structure in the singular Hochschild cohomology and provide a prop interpretation for this construction. Then we will describe the BV algebra structure in the case of symmetric algebras. We will also talk about the singular version of Deligne conjecture, which is related to the higher algebraic structures (such as B1-algebra). If time allows, we will give one example on how to compute the singular Hochschild cohomology.