A geometric analogue of a conjecture of Gross and Reeder

Autor:	Kamgarpour, Masoud, Sage, Daniel S.
Rok vydání:	2016
Předmět:	Mathematics - Representation Theory Mathematical Physics Mathematics - Algebraic Geometry Mathematics - Number Theory
Zdroj:	Amer. J. Math. 141 (2019) 1457-1476
Druh dokumentu:	Working Paper
DOI:	10.1353/ajm.2019.0038
Popis:	Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection of an irregular flat G-bundle on the formal punctured disk is always greater than or equal to the rank of G. This can be considered as a geometric analogue of a conjecture of Gross and Reeder. We will also show that the irregular connections with minimum adjoint irregularity are precisely the (formal) Frenkel-Gross connections. Comment: minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.00943 Zobrazit plný text záznamu View this record from Arxiv