שלחו לחבר

Clifford algebras of O_X-quadratic spaces

Seminar
Speaker
Prof. Patrice Ntumba (University of Pretoria)
Date
01/06/2016 - 11:30 - 10:30
Place
Third floor seminar room
Abstract

In the classical theory of quadratic forms and Clifford algebras, it is a well-known result that, given a finitely generated projective module P, if H[P] denotes the associated hyperbolic space of P, then the (graded) algebras Cl(H[P]) and End(^(P)) are isomorphic.  We investigate the conditions under which a counterpart of this result holds in the sheaf-theoretic context.  Next, we introduce standard involutions for O_X-algebras associated with K-algebras, where K is a unital commutative ring with no zero-divisors for the purpose of defining graded quadratic extensions of the ringed space (X, O_X), where X = Spec K.

This is joint work with C. Ndipingwi.

Also see the attached file.

תאריך עדכון אחרון : 08/06/2016