Number of the records: 1
Towards automorphic to differential correspondence for vertex algebras
- 1.
SYSNO ASEP 0440845 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Towards automorphic to differential correspondence for vertex algebras Author(s) Zuevsky, Alexander (MU-W) RID, SAI, ORCID Source Title Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MAXENT 2014). - New York : AIP Publishing, 2015 / Mohammad-Djafari A. ; Barbaresco F. - ISBN 978-0-7354-1280-4 Pages s. 603-610 Number of pages 8 s. Publication form Print - P Action Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MAXENT 2014) /33./ Event date 21.09.2014-26.09.2014 VEvent location Amboise Country FR - France Event type WRD Language eng - English Country US - United States Keywords vertex algebras ; conformal blocks ; automorphic forms Subject RIV BA - General Mathematics Institutional support MU-W - RVO:67985840 UT WOS 000354648400069 DOI https://doi.org/10.1063/1.4906028 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
Number of the records: 1