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Hilbert Modular Varieties - an Introduction Eyal Goren McGill University The Second Montreal-Toronto Workshop in Number Theory, Fields Institute, April 9-10, 2011 1 32 The…

HILBERT MODULAR FORMS: MOD P AND P-ADIC ASPECTS F. ANDREATTA AND E. Z. GOREN ABSTRACT. We study Hilbert modular forms in characteristic p and over p- adic rings. In the characteristic…

HILBERT MODULAR FORMS: MOD P AND P-ADIC ASPECTS F ANDREATTA AND E Z GOREN ABSTRACT We study Hilbert modular forms in characteristic p and over p- adic rings In the characteristic…

Λ-adic modular symbols over totally real fields∗† Baskar Balasubramanyam‡ and Matteo Longo § Abstract We consider an Hida family of nearly ordinary cusp forms on…

KATZ’S p-ADIC MODULAR FORMS ������� � �� ��� 0. Introduction p ����������� . p-adic modular form ����� � , !#%$*!,+-�.…

Hilbert modular forms and the Gross–Stark conjecture Samit Dasgupta Henri Darmon Robert Pollack November 12 2009 Abstract Let F be a totally real field and χ an abelian…

2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS KEN ONO AND YUICHIRO TAGUCHI 1 Introduction and Statement of Results Suppose that…

ar X iv :m at h 05 05 17 7v 2 m at h. N T 1 8 M ay 2 00 5 TWISTED BORCHERDS PRODUCTS ON HILBERT MODULAR SURFACES AND THEIR CM VALUES JAN HENDRIK BRUINIER AND TONGHAI YANG…

Hilbert modular forms and the Gross–Stark conjecture Samit Dasgupta Henri Darmon Robert Pollack March 25, 2009 Abstract Let F be a totally real field and χ an abelian…

Level raising and anticyclotomic Selmer groups for Hilbert modular forms of weight two Jan Nekovář 0. Introduction 0.0. Convention. A ’character’ always means a continuous…

Title Page Submitted by a Candidate from a GSAS Department On Λ-adic Saito-Kurokawa Lifting and its Application Zhi Li Submitted in partial fulfillment of the Requirements…

NOTES ON THE ARITHMETIC OF HILBERT MODULAR FORMS A RAGHURAM AND NAOMI TANABE 1 Introduction Shimura proved the following fundamental result see 37 Theorem 43 on the critical…

p-adic Banach space representations of p-adic groups Peter Schneider Lectures at Jerusalem March 30 – April 6 2009 1 Part I Background from p-adic functional analysis Throughout…

1 Circuits & 2-adic Integers Digital Synchronous Circuit 2-adic Integers Arithmetic Circuits LHC Application Jean Vuillemin École Normale Supérieure de Paris 2 Synchronous…

1 Circuits 2-adic Integers Digital Synchronous Circuit 2-adic Integers Arithmetic Circuits LHC Application Jean Vuillemin École Normale Supérieure de Paris 2 Synchronous…

()Matteo Longo, Marc-Hubert Nicole Received: October 25, 2012 Communicated by Takeshi Saito Abstract. We generalize the Λ-adic Shintani lifting for GL2(Q) to indefinite

Heegner Points and Rankin L-Series MSRI Publications Volume 49 2004 Special Value Formulae for Rankin L-Functions VINAYAK VATSAL 1 Introduction Let F denote a totally real…

The emerging p-adic Langlands programme Christophe Breuil ∗ Abstract. We give a brief overview of some aspects of the p-adic and modulo p Langlands programmes. Mathematics

1 Espacios de Hilbert y Expansiones ortogonales Estudiando las soluciones de la ecuación de Laplace por el método de separación de variables encontramos

CM-VALUES OF HILBERT MODULAR FUNCTIONS JAN HENDRIK BRUINIER AND TONGHAI YANG 1. Introduction Let X be an algebraic variety over Q, and let Ψ be a rational function on X…