Modularity Proof Without Ihara's Lemma

Generalizing modularity lifting theorems for higher-dimensional Galois representations

by Anuj Kumar Singh*, Dr. K. K. Jain , Dr. Yogesh Sharma,

- Published in Journal of Advances in Science and Technology, E-ISSN: 2230-9659

Volume 1, Issue No. 1, Feb 2011, Pages 0 - 0 (0)

Published by: Ignited Minds Journals


ABSTRACT

The title is "Proving modularity without Ihara's lemma",which is the subject of the preprint. "A family of Calabi-Yau varieties and the Sato-Tate conjecture". The aim ofresearch paper is to generalize the modularity lifting theorems of higherdimensional Galois representations.

KEYWORD

modularity proof, Ihara's Lemma, Calabi-Yau varieties, Sato-Tate conjecture, higher-dimensional Galois representations