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.

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