Date of Award
2020
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Graduate Group
Mathematics
First Advisor
Ron Donagi
Second Advisor
Tony Pantev
Abstract
This thesis surveys parts of the forthcoming joint work [23] in which the non-abelianization
map of [16] was extended from the case of G = SL(n) and G = GL(n) to the case of
arbitrary reductive algebraic groups. The non-abelianization map is an algebraic map
from a moduli space of certain N -local systems on the complement of a divisor P in a
punctured Riemann surface X, to the moduli space of G-local systems on X.
Recommended Citation
Morrissey, Benedict, "Nonabelianization, Spectral Data And Cameral Data" (2020). Publicly Accessible Penn Dissertations. 4135.
https://repository.upenn.edu/edissertations/4135