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Conjecture that rigid automorphic and cohomologically rigid families match
Consider the family of cohomologically rigid connections constructed by Kamgarpour and Sage that generalizes the Frenkel–Gross connection, and the family of rigid automorphic data…
Conjectureopenautomorphic-forms geometric-langlands rigid-connectionsarXiv posted 2 days ago
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Physical rigidity conjecture for generalised Frenkel–Gross connections
A generalised Frenkel–Gross $G$ -connection is a connection on the multiplicative group with an irregular singularity at infinity of slope $1/h$ and a regular singularity at $0$ . Th…
Conjectureopendifferential-galois-theory representation-theory rigid-connectionsarXiv posted 2 days ago
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Heinloth–Ngô–Yun conjecture on the de Rham Kloosterman local system
Heinloth–Ngô–Yun conjecture. The de Rham version of their local system is isomorphic to the Frenkel–Gross connection
Conjecturesolvedgeometric-langlands rigid-connectionsarXiv posted 2 days ago
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The expectation of physically rigid connections beyond type A
A $G$ -connection is a principal $G$ -bundle with connection on a punctured algebraic curve; it is cohomologically rigid when its deformation theory has no nontrivial deformations, a…
Conjecturesolvedgeometric-langlands rigid-connectionsarXiv posted 2 days ago

Conjecture that rigid automorphic and cohomologically rigid families match