MATH Seminar
| Title: Pascal's rule for vector bundles of rank four |
|---|
| Seminar: Algebra and number theory |
| Speaker: Asher Auel of Emory University |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2011-08-30 at 3:00PM |
| Venue: MSC E406 |
| Download Flyer |
| Abstract: The low dimensional ``exceptional'' isomorphisms of Dynkin diagrams have been exploited in various ways to describe torsors for the corresponding linear algebraic groups over fields and rings. In this talk, we show how a version of the combinatorial Pascal's rule, adapted to vector bundles over algebraic varieties, can be used to define a Witt group-theoretic obstruction to the existence of certain decompositions. For vector bundles of rank four over projective varieties, we use the exceptional isomorphism $A_3=D_3$ to prove that this is the only obstruction. |
See All Seminars