The Deligne-Simpson problem for connections on \(\mathbb{G}_m\) with a maximally ramified singularity
DOI10.1016/j.aim.2022.108596zbMath1505.34129arXiv2108.11029OpenAlexW4288680370WikidataQ113880873 ScholiaQ113880873MaRDI QIDQ2675114
Bach Nguyen, Neal Livesay, Maitreyee C. Kulkarni, Jacob P. Matherne, Daniel S. Sage
Publication date: 20 September 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11029
moduli spacesmeromorphic connectionsirregular singularitiesDeligne-Simpson problemrigid connectionstoral connections
Loop groups and related constructions, group-theoretic treatment (22E67) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear algebraic groups over local fields and their integers (20G25) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Geometric Langlands program (algebro-geometric aspects) (14D24)
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