Séminaires : Séminaire d'Algèbre

In combinatorics, several famous enumeration results involve a special kind of product formula. The very same kind of product formula gives the Milnor number of an isolated quasi-homogenous singularity. It seems possible that one could relate combinatorics and singularities by means of derived categories: on the one hand, modules over incidence algebras of partially ordered sets (posets) and on the other hand, some kind of Fukaya-like category that should categorify the Milnor fibration. Even if part of this remains very unprecise and vague, this implies many concrete conjectures about derived equivalences between posets.

This talk will take place in hybrid mode at the Institut Henri Poincaré.