COSAM » Events » 2018 » April » DMS Colloquium: Claudiu Raicu

 DMS Colloquium: Claudiu Raicu Time: Apr 06, 2018 (04:00 PM) Location: Parker Hall 250 Details: Speaker: Claudiu Raicu (Notre Dame)  Title: Koszul modules Abstract: The Cayley-Chow form of a projective variety $$X$$ is an equation that detects when a linear space intersects $$X$$ non-trivially. I will explain how it can be described when $$X$$ is the Grassmannian of lines in its Plücker embedding, by relating it to a fascinating class of modules called Koszul modules. Despite their elementary definition, Koszul modules have close ties to the study of syzygies of generic canonical curves, and provide important applications to the structure of certain invariants of finitely presented groups.  Joint work with M. Aprodu, G. Farkas, S. Papadima, and J. Weyman.

Last updated: 03/29/2018