Towards automorphic to differential correspondence for vertex algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00440845" target="_blank" >RIV/67985840:_____/15:00440845 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4906028" target="_blank" >http://dx.doi.org/10.1063/1.4906028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4906028" target="_blank" >10.1063/1.4906028</a>

Result language
angličtina
Original language name
Towards automorphic to differential correspondence for vertex algebras
Original language description
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.
Czech name
—
Czech description
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Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MAXENT 2014)
ISBN
978-0-7354-1280-4
ISSN
—
e-ISSN
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Number of pages
8
Pages from-to
603-610
Publisher name
AIP Publishing
Place of publication
New York
Event location
Amboise
Event date
Sep 21, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000354648400069

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