PIRSA:09050040

Video URL

https://pirsa.org/09050040

Spaces of Linear Modules on Regular Graded Clifford algebras

Ingalls, C. (2009). Spaces of Linear Modules on Regular Graded Clifford algebras. Perimeter Institute for Theoretical Physics. https://pirsa.org/09050040

Ingalls, Colin. Spaces of Linear Modules on Regular Graded Clifford algebras. Perimeter Institute for Theoretical Physics, May. 10, 2009, https://pirsa.org/09050040 

          @misc{ scivideos_PIRSA:09050040,
            doi = {10.48660/09050040},
            url = {https://pirsa.org/09050040},
            author = {Ingalls, Colin},
            keywords = {},
            language = {en},
            title = {Spaces of Linear Modules on Regular Graded Clifford algebras},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2009},
            month = {may},
            note = {PIRSA:09050040 see, \url{https://scivideos.org/index.php/pirsa/09050040}}
          }

Colin Ingalls Carleton University

Talk numberPIRSA:09050040
DOI10.48660/09050040
Source RepositoryPIRSA
Collection
Talk Type Conference

Abstract

The space of regular noncommutative algebras includes regular graded Clifford algebras, which correspond to base point free linear systems of quadrics in dimension n in P^n. The schemes of linear modules for these algebras can be described in terms of this linear system. We show that the space of line modules on a 4 dimensional algebra is an Enriques surface called the Reye congruence, and we extend this result to higher dimensions.