The theory of $\theta$-cycles (due to Tate, I think) and filtrations is to me a very beautiful and powerful tool in proving many statements about mod $p$ modular forms in more explicit and elementary manner. Is there an analogue of $\theta$-cycles for mod $p$ automorphic forms of higher rank groups? If so, is there any occasion where such theory is used in proving some interesting statements?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.