Reduction modulo p of differential equations
نویسندگان
چکیده
منابع مشابه
Reduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
متن کاملOn Symmetry Reduction of Some P(1,4)-invariant Differential Equations
The development of theoretical and mathematical physics has required various extensions of the four-dimensional Minkowski spaceM(1, 3) and, correspondingly, various extensions of the Poincaré group P (1, 3). The natural extension of this group is the generalized Poincaré group P (1, 4). The group P (1, 4) is the group of rotations and translations of the five-dimensional Minkowski space M(1, 4)...
متن کاملExplicit reduction modulo p of certain 2-dimensional crystalline representations
We use the p-adic local Langlands correspondence for GL2(Qp) to explicitly compute the reduction modulo p of certain 2-dimensional crystalline representations of small slope, and give applications to modular forms.
متن کاملA GUIDE TO THE REDUCTION MODULO p OF SHIMURA VARIETIES
This report is based on my lecture at the Langlands conference in Princeton in 1996 and the series of lectures I gave at the semestre Hecke in Paris in 2000. In putting the notes for these lectures in order, it was my original intention to give a survey of the activities in the study of the reduction of Shimura varieties. However, I realized very soon that this task was far beyond my capabiliti...
متن کاملOn the topology of algebraic surfaces and reduction modulo p
We show that the topology of a simply-connected smooth projective surface is determined by its algebraic structure modulo p.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1996
ISSN: 0019-3577
DOI: 10.1016/0019-3577(96)83726-8