Gavril Farkas: Koszul modules in algebraic geometry

Abstract: Inspired from ideas in topology, Koszul modules turned out to have important algebro-geometric applications for instance to (i) Green's Conjecture on syzygies of canonical curves, (ii) explicit description of Chow varieties of Grassmannians, or (iii) stabilization of cohomology of projective varieties in arbitrary characteristics. I will discuss various developments related to this circle of ideas.