Séance Séminaire

Séminaire Algèbre Géométrie Algébrique Topologie Algébrique

Topological invariants of groups via Koszul modules

I discuss a uniform vanishing result for finite length Koszul modules. This is an algebraic statement equivalent to Green's Conjecture for generic canonical curves and which has interesting applications to the study of a number of invariants associated to finitely generated groups, such as the Alexander invariants, the degree of growth and nilpotency class. I will discuss a bound the aforementioned invariants in terms of the first Betti number for the the Torelli group associated to the moduli space of curves and nilpotent fundamental groups of compact Kaehler manifolds. Joint work with Aprodu, Raicu, Papadima and Weyman.