0440845 - MÚ 2016 RIV US eng C - Conference Paper (international conference)
Zuevsky, Alexander
Towards automorphic to differential correspondence for vertex algebras.
Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MAXENT 2014). New York: AIP Publishing, 2015 - (Mohammad-Djafari, A.; Barbaresco, F.), s. 603-610. AIP Proceedings, 1641. ISBN 978-0-7354-1280-4.
[Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MAXENT 2014) /33./. Amboise (FR), 21.09.2014-26.09.2014]
Institutional support: RVO:67985840
Keywords : vertex algebras * conformal blocks * automorphic forms
Subject RIV: BA - General Mathematics
Result website:
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4906028DOI: https://doi.org/10.1063/1.4906028

In these notes we propose a version of geometric correspondence between parameter spaces for projectively flat connections in vector bundles and automorphic representations of modular groups over Riemann surfaces. Principal role of vertex algebras is discussed. We then formulate a conjecture concerning an extended correspondence between categories of twisted $mathcal D$-modules and Hecke eigensheaves both defined on the moduli stack of modular group bundles, and obtained as sheaves of conformal blocks for vertex operator algebras with formal parameters on complex algebraic curves.
Permanent Link: http://hdl.handle.net/11104/0243948