scholarly journals Structure of Hecke algebras of modular forms modulo p

2017 ◽  
Vol 11 (1) ◽  
pp. 1-38 ◽  
Author(s):  
Shaunak Deo
Keyword(s):  
Modular Forms ◽  
Hecke Algebras ◽  
Modulo P

scholarly journals Level 1 Hecke algebras of modular forms modulo 

2014 ◽  
Vol 151 (3) ◽  
pp. 397-415 ◽  
Author(s):  
Joël Bellaïche ◽  
Chandrashekhar Khare
Keyword(s):  
Recent Result ◽  
Modular Forms ◽  
Hecke Algebras ◽  
Local Algebras ◽  
Deformation Rings ◽  
Level 1

AbstractIn this paper, we study the structure of the local components of the (shallow, i.e. without $U_{p}$) Hecke algebras acting on the space of modular forms modulo $p$ of level $1$, and relate them to pseudo-deformation rings. In many cases, we prove that those local components are regular complete local algebras of dimension $2$, generalizing a recent result of Nicolas and Serre for the case $p=2$.

scholarly journals Hermitian modular forms congruent to 1 modulo p

2009 ◽  
Vol 92 (3) ◽  
pp. 251-256 ◽  
Author(s):  
Michael Hentschel ◽  
Gabriele Nebe
Keyword(s):  
Modular Forms ◽  
Hermitian Modular Forms ◽  
Modulo P

scholarly journals On Hecke algebras for Hilbert modular forms

2014 ◽  
Vol 134 ◽  
pp. 197-225
Author(s):  
Yoshio Hiraoka ◽  
Kaoru Okada
Keyword(s):  
Modular Forms ◽  
Hecke Algebras ◽  
Hilbert Modular Forms ◽  
Hilbert Modular

Sturm type theorem for Siegel modular forms of genus 2 modulo p

2013 ◽  
Vol 158 (2) ◽  
pp. 129-139 ◽  
Author(s):  
Dohoon Choi ◽  
YoungJu Choie ◽  
Toshiyuki Kikuta
Keyword(s):  
Modular Forms ◽  
Type Theorem ◽  
Siegel Modular Forms ◽  
Genus 2 ◽  
Modulo P

scholarly journals A WEIGHT INDEPENDENCE RESULT FOR QUATERNIONIC HECKE ALGEBRAS

2013 ◽  
Vol 09 (08) ◽  
pp. 1895-1922
Author(s):  
LEA TERRACINI
Keyword(s):  
Modular Forms ◽  
Quaternion Algebra ◽  
Hecke Algebras ◽  
Hecke Algebra ◽  
Hecke Operators ◽  
Langlands Correspondence ◽  
Independence Result ◽  
Relationship Of ◽  
The Relationship

Let p be a prime and B be a quaternion algebra indefinite over Q and ramified at p. We consider the space of quaternionic modular forms of weight k and level p∞, endowed with the action of Hecke operators. By using cohomological methods, we show that the p-adic topological Hecke algebra does not depend on the weight k. This result provides a quaternionic version of a theorem proved by Hida for classical modular forms; we discuss the relationship of our result to Hida's theorem in terms of Jacquet–Langlands correspondence.

Sign in / Sign up

Export Citation Format

Share Document