This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the Higher homotopical structures programme.Since their introduction 60 years ago, the notions of infinity algebr...Lasīt vairāk
This textbook contains the lecture series originally delivered at the Advanced Course on Limit Cycles of Differential Equations in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fi...Lasīt vairāk
This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras.The text is divided i...Lasīt vairāk
This book contains a clear exposition of two contemporary topics in modern differential geometry:distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bou...Lasīt vairāk
This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of thre...Lasīt vairāk
This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows an...Lasīt vairāk
This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivari...Lasīt vairāk
This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures.The first one, given by Andrew Toms, pre...Lasīt vairāk
This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedi...Lasīt vairāk
This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held a...Lasīt vairāk
This volume presents the lecture notes from the authors three summer courses offered during the program Automorphisms of Free Groups: Geometry, Topology, and Dynamics, held at the Centre de Recerca Matemątica (CRM) in Bellaterra, Spain. ...Lasīt vairāk
Vladimir Fock, Andrey Marshakov, Florent Schaffhauser, Constantin Teleman, Richard Wentworth, Luis Alvarez Consul, Jųrgen Ellegaard Andersen, Ignasi Mundet i Riera
Sērija : Advanced Courses in Mathematics - CRM Barcelona
This volume is based on four advanced courses held at the Centre de Recerca Matemątica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad re...Lasīt vairāk
This volume presents the lecture notes of the two courses given by Davar Khoshnevisan and René Schilling, respectively, at the second edition of the Barcelona Summer School on Stochastic Analysis.René Schillings notes are an expanded version of hi...Lasīt vairāk
This book contains an elaborated version of the lecture notes given at the Advanced Course on Geometry andDynamics of Integrable Systems, held at the CRM in Barcelona.Native to actualproblem-solving problems in mechanics, the topic of Integ...Lasīt vairāk
This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).The notes of the course by Vlad Bally, co-authoredwith Lucia Caramellino, develop integration b...Lasīt vairāk
This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated....Lasīt vairāk
The notes of this book originate from three series of lectures given at the Centre de Recerca Matemątica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in R n via the Averaging The...Lasīt vairāk
This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and C...Lasīt vairāk
This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. T...Lasīt vairāk
