PIRSA:18010070

Video URL

https://pirsa.org/18010070

Modules over factorization spaces, and moduli spaces of parabolic G-bundles.

Cliff, E. (2018). Modules over factorization spaces, and moduli spaces of parabolic G-bundles.. Perimeter Institute for Theoretical Physics. https://pirsa.org/18010070

Cliff, Emily. Modules over factorization spaces, and moduli spaces of parabolic G-bundles.. Perimeter Institute for Theoretical Physics, Jan. 29, 2018, https://pirsa.org/18010070 

          @misc{ scivideos_PIRSA:18010070,
            doi = {10.48660/18010070},
            url = {https://pirsa.org/18010070},
            author = {Cliff, Emily},
            keywords = {Mathematical physics},
            language = {en},
            title = {Modules over factorization spaces, and moduli spaces of parabolic G-bundles.},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {jan},
            note = {PIRSA:18010070 see, \url{https://scivideos.org/index.php/pirsa/18010070}}
          }

Emily Cliff University of Sherbrooke

Talk numberPIRSA:18010070
DOI10.48660/18010070
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Factorization spaces (introduced by Beilinson and Drinfeld as "factorization monoids") are non-linear analogues of factorization algebras. They can be constructed using algebro-geometric methods, and can be linearised to produce examples of factorization algebras, whose properties can be studied using the geometry of the underlying spaces. In this talk, we will recall the definition of a factorization space, and introduce the notion of a module over a factorization space, which is a non-linear analogue of a module over a factorization algebra. As an example and an application, we will introduce a moduli space of principal G-bundles with parabolic structures, and discuss how it can be linearised to recover modules of the factorization algebra associated to the affine Lie algebra corresponding to a reductive algebraic group G.