Title: A theory of dormant opers on pointed stable curves
Description: This manuscript presents a detailed and original account of the theory of opers defined on pointed stable curves in arbitrary characteristic and their moduli. In particular, it includes the development of the study of dormant opers, which are opers of a certain sort in positive characteristic. Our goal is to give an explicit formula, conjectured by Joshi, for the generic number of dormant opers.
Subjects: Algebraic Curves, Algebraic Geometry, Lie algebras