PIRSA:20020074

Coordinate Charts on Character Varieties via Non-abelianization

(2020). Coordinate Charts on Character Varieties via Non-abelianization. Perimeter Institute. https://pirsa.org/20020074

Coordinate Charts on Character Varieties via Non-abelianization. Perimeter Institute, Feb. 27, 2020, https://pirsa.org/20020074 

          @misc{ pirsa_PIRSA:20020074,
            doi = {10.48660/20020074},
            url = {https://pirsa.org/20020074},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Coordinate Charts on Character Varieties via Non-abelianization},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {feb},
            note = {PIRSA:20020074 see, \url{https://pirsa.org}}
          }
DOI 10.48660/20020074
Collection
Talk Type Scientific Series
Subject

Abstract

Classical work by Thurston in the theory of surfaces gives symplectic co-ordinate charts on Teichmüller space, associated to quadratic differentials. Motivated by wall crossing in 4d field theories Gaiotto, Moore and Neitzke defined a generalization of these; giving maps from the moduli of one dimensional local systems on a spectral curve to the moduli space of n-dimensional local systems on a non-compact Riemann surface. I will describe joint work with M. Ionita which extends this construction to arbitrary reductive algebraic groups G. Time permitting I will describe the interpretation of this construction in terms of the wild Riemann--Hilbert Correspondence in the closely related setting of Frobenius manifolds.