# Clifford algebras of O_X-quadratic spaces

Seminar

Speaker

Prof. Patrice Ntumba (University of Pretoria)

Date

01/06/2016 - 11:30 - 10:30Add to Calendar

`2016-06-01 10:30:00``2016-06-01 11:30:00``Clifford algebras of O_X-quadratic spaces``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.``Third floor seminar room``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`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 Updated Date : 08/06/2016