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arXiv · 1606.00943

A geometric analogue of a conjecture of Gross and Reeder

Masoud Kamgarpour·Daniel S. Sage
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Abstract

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.

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BibTeXRIS

Masoud Kamgarpour, Daniel S. Sage. 2016-06-03. A geometric analogue of a conjecture of Gross and Reeder. https://doi.org/10.1353/ajm.2019.0038

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