Dirac operators in tensor categories and the motive of quaternionic modular forms
Number Theory
2017-04-26 v3
Abstract
We define a motive whose realizations afford modular forms (of arbitrary weight) on an indefinite division quaternion algebra. This generalizes work of Iovita--Spiess to odd weights in the spirit of Jordan--Livn\'e. It also generalizes a construction of Scholl to indefinite division quaternion algebras.
Keywords
Cite
@article{arxiv.1409.1949,
title = {Dirac operators in tensor categories and the motive of quaternionic modular forms},
author = {Marc Masdeu and Marco Adamo Seveso},
journal= {arXiv preprint arXiv:1409.1949},
year = {2017}
}
Comments
39 pages. Final revised version with slight title modification, to appear in: "Advances in Mathematics"