Cusp eigenforms and the hall algebra of an elliptic curve

DOI10.1112/S0010437X12000784zbMath1355.11061arXiv1109.4308MaRDI QIDQ2845014

Dragos Fratila

Publication date: 22 August 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4308

zbMATH Keywords

elliptic curvesautomorphic formsHecke operatorsHall algebras

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Geometric Langlands program: representation-theoretic aspects (22E57) Stacks and moduli problems (14D23)

Related Items

Hall algebras and graphs of Hecke operators for elliptic curves, Hall algebras of curves, commuting varieties and Langlands duality, The Hall algebra of a curve, The Jordan–Chevalley decomposition for 𝐺-bundles on elliptic curves

Cites Work

• On the Hall algebra of an elliptic curve. II
• Hall algebras of curves, commuting varieties and Langlands duality
• Drinfeld realization of the elliptic Hall algebra
• Double Hall algebras and derived equivalences.
• Hall algebras and quantum groups
• Chevalley groups over function fields and automorphic forms
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• On the cohomology groups of moduli spaces of vector bundles on curves
• Eisenstein series and quantum affine algebras
• Drinfeld shtukas and Langlands correspondence.
• Braid group actions on derived categories of coherent sheaves.
• Noncommutative projective curves and quantum loop algebras
• Hall algebras, hereditary algebras and quantum groups
• Minkowskische Reduktionstheorie über Funktionenkörpern
• Rankin-Selberg Convolutions
• The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Vector Bundles Over an Elliptic Curve