# Clifford algebras of O_X-quadratic spaces

Wed, 01/06/2016 - 10:30

Speaker:

Prof. Patrice Ntumba (University of Pretoria)

Seminar:

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.

- Last modified: 8/06/2016