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Advanced Courses in Mathematics - CRM Barcelona

Advanced Courses in Mathematics - CRM Barcelona

Centre de Recerca Matemàtica

37 Jahrgänge | 2003 - 2020


Since 1995 the Centre de Recerca Matemàtica (CRM) has organised a number of Advanced Courses at the post-doctoral or advanced graduate level on forefront research topics in Barcelona. The books in this series contain revised and expanded versions of the material presented by the authors in their lectures.

Alle Bücher der Reihe Advanced Courses in Mathematics - CRM Barcelona

2014 | Buch

Integral Geometry and Valuations

In the last years there has been significant progress in the theory of valuations, which in turn has led to important achievements in integral geometry. This book originated from two courses delivered by the authors at the CRM and provides a self-con

2013 | Buch

Elliptic Curves, Hilbert Modular Forms and Galois Deformations

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year.

The notes by Laurent Berger provide an introductio

2012 | Buch

Nonlinear Partial Differential Equations

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusi

2012 | Buch

Modern Optimization Modelling Techniques

The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applica

2010 | Buch

Mean Curvature Flow and Isoperimetric Inequalities

Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the a

2009 | Buch

Numerical Solutions of Partial Differential Equations

2009 | Buch

Combinatorial Number Theory and Additive Group Theory

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem

2008 | Buch

Group-based Cryptography

2007 | Buch

The Geometry of the Word Problem for Finitely Generated Groups

2007 | Buch

Limit Cycles of Differential Equations

2005 | Buch

Ramsey Methods in Analysis

This book contains two sets of notes prepared for the Advanced Course on R- sey Methods in Analysis given at the Centre de Recerca Matem` atica in January 2004, as part of its year-long research programme on Set Theory and its Appli- tions. The commo

2005 | Buch

Contemporary Cryptology

The aim of this text is to treat selected topics of the subject of contemporary cryptology, structured in five quite independent but related themes:
- efficient distributed computation modulo a shared secret
- multiparty computation
- fo

2004 | Buch

Kolmogorov Equations for Stochastic PDEs

2004 | Buch

Polynomial Identity Rings

A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the …

2003 | Buch

Global Riemannian Geometry: Curvature and Topology

2003 | Buch

Symplectic Geometry of Integrable Hamiltonian Systems

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact …

2003 | Buch

Proper Group Actions and the Baum-Connes Conjecture