JOINT QUASIMODES, POSITIVE ENTROPY, AND QUANTUM UNIQUE ERGODICITY SHIMON BROOKS AND ELON LINDENSTRAUSS Abstract. We study joint quasimodes of the Laplacian and one Hecke operator on compact congruence surfaces, and give

Source URL: www.ma.huji.ac.il

Absence of Cartan subalgebras of Hecke von Neumann algebras Martijn Caspers – Utrecht University Cartan subalgebras

Source URL: www.wiko-greifswald.de

• Operator theory
• Lie algebras
• Abstract algebra
• Mathematical analysis
• Theoretical physics
• Von Neumann algebras
• Cartan subalgebra
• Crossed product
• Lie groups
• Non-associative algebras

125 Documenta Math. Lifting from two Elliptic Modular Forms to Siegel Modular Forms of Half-Integral Weight

Source URL: documenta.sagemath.org

• Mathematical analysis
• Mathematics
• Modular forms
• Algebra
• Automorphic forms
• Analytic number theory
• Linear algebra
• Eisenstein series
• Theta constant
• Hecke operator
• Siegel modular form
• Jacobi form

On Zagier’s cusp form and the Ramanujan τ function

Source URL: www.mast.queensu.ca

• Mathematical analysis
• Modular forms
• Mathematics
• Number theory
• Cusp form
• Ramanujan tau function
• Automorphic form
• Petersson inner product
• RamanujanPetersson conjecture
• Hecke operator

Component Groups of Quotients of J0 (N ) David Kohel1 and William A. Stein2 1 University of Sydney http://www.maths.usyd.edu.au:8000/u/kohel/

Source URL: iml.univ-mrs.fr

• Mathematics
• Geometry
• Abstract algebra
• Modular forms
• Algebraic curves
• Riemann surfaces
• Analytic number theory
• Elliptic curves
• Hecke operator
• Modular curve
• Modular elliptic curve
• Supersingular elliptic curve

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 15, Number 2, Spring 1985 ON THE ESTIMATION OF EIGENVALUES OF HECKE OPERATORS

Source URL: www.mast.queensu.ca

• Mathematical analysis
• Mathematics
• Modular forms
• Conjectures
• Analytic number theory
• Srinivasa Ramanujan
• RamanujanPetersson conjecture
• Mathematical series
• Hecke operator
• Dirichlet series
• Selberg class
• Fourier transform

551 Documenta Math. The Eisenstein Ideal and Jacquet-Langlands Isogeny over Function Fields

Source URL: www.math.uiuc.edu

• Modular forms
• Mathematical analysis
• Mathematics
• Abstract algebra
• Modular curve
• AtkinLehner theory
• Elliptic curve
• Eisenstein ideal
• Hecke operator
• Langlands program
• Cohomology
• Congruence subgroup

CURRICULUM VITAE KANEENIKA SINHA Mathematics Group IISER Pune Pune, Maharashtra, India India

Source URL: www.iiserpune.ac.in

• Mathematics
• Number theorists
• Science and technology in India
• India
• Indian Institute of Science Education and Research
• Pune
• Indian Institutes of Science Education and Research
• M. Ram Murty
• Hecke operator
• Indian Institute of Science Education and Research
• Kolkata
• Ramanujan Mathematical Society
• Srinivasa Ramanujan
• Kolkata

43 Documenta Math. Hasse Invariant and Group Cohomology Bas Edixhoven, Chandrashekhar Khare

Source URL: www.math.uiuc.edu

• Modular forms
• Mathematical analysis
• Mathematics
• Complex analysis
• Analytic number theory
• Group theory
• Algebraic curves
• Hecke operator
• Modular curve
• Congruence subgroup
• Elliptic curve
• Representation theory

GRAPH EIGENFUNCTIONS AND QUANTUM UNIQUE ERGODICITY SHIMON BROOKS AND ELON LINDENSTRAUSS Abstract: We apply the techniques of [BL10] to study joint eigenfunctions of the Laplacian and one Hecke operator on compact congrue

Source URL: www.ma.huji.ac.il