Is There an Analytic Theory of Automorphic Functions for Complex Algebraic Curves?

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Author: Frenkel, Edward
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210708
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Is There an Analytic Theory of Automorphic Functions for Complex Algebraic Curves?. Edward Frenkel. SIGMA 16 (2020), 042, 31 pages

The geometric Langlands correspondence for complex algebraic curves differs from the original Langlands correspondence for number fields in that it is formulated in terms of sheaves rather than functions (in the intermediate case of curves over finite fields, both formulations are possible). In a re...