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Rigid local systems and sporadic simple groups / Nicjolas Michael Katz, Antonio Rojas-León, Pham Huu Tiep

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 308, number 1559 (April 2025)Publisher: Providence, RI : American Mathematical Society, April 2025Description: v, 185 SeitenISBN:
  • 9781470473426
Subject(s): Additional physical formats: 9781470481469 | Erscheint auch als: Rigid local systems and sporadic simple groups. Online-Ausgabe Providence, RI : American Mathematical Society, 2025. 1 Online-Ressource (v, 185 Seiten)MSC: MSC: 11T23 | 20C15 | 20C33 | 20C34 | 20D06 | 20D08RVK: RVK: SI 130Summary: We continue the program set up in [Geom. Funct. Anal. 31 (2021), no. 3, 562–662] to study the monodromy groups of hypergeometric and Kloosterman sheaves. We gave there easy to apply criteria on these sheaves that their monodromy groups satisfy the group-theoretic condition (S+), and showed that many of the finite almost quasisimple groups occur as monodromy groups of such sheaves. Here, we show that precisely 12 of the 26 sporadic simple groups occur in this way (and explain why the others cannot occur this way). We also treat some small rank finite groups of Lie type, as well as certain primitive complex reflection groups.Summary: Keywords: Rigid local systems, monodromy groups, sporadic simple groupsPPN: PPN: 1926034295
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-308.2025,1559 Nicht ausleihbar
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