Recent Trends in Nonlinear Partial Differential Equations II

Recent Trends in Nonlinear Partial Differential Equations II
Author :
Publisher : American Mathematical Soc.
Total Pages : 354
Release :
ISBN-10 : 9780821898611
ISBN-13 : 0821898612
Rating : 4/5 (11 Downloads)

Synopsis Recent Trends in Nonlinear Partial Differential Equations II by : James Serrin

This book is the second of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honour of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants.

Recent Trends in Nonlinear Partial Differential Equations I

Recent Trends in Nonlinear Partial Differential Equations I
Author :
Publisher : American Mathematical Soc.
Total Pages : 323
Release :
ISBN-10 : 9780821887363
ISBN-13 : 082188736X
Rating : 4/5 (63 Downloads)

Synopsis Recent Trends in Nonlinear Partial Differential Equations I by : James B. Serrin

This book is the first of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought t

Harmonic Analysis and Partial Differential Equations

Harmonic Analysis and Partial Differential Equations
Author :
Publisher : American Mathematical Soc.
Total Pages : 190
Release :
ISBN-10 : 9780821894330
ISBN-13 : 0821894331
Rating : 4/5 (30 Downloads)

Synopsis Harmonic Analysis and Partial Differential Equations by : Patricio Cifuentes

This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15, 2012, in El Escorial, Madrid, Spain. Included in this volume is the written version of the mini-course given by Jonathan Bennett on Aspects of Multilinear Harmonic Analysis Related to Transversality. Also included, among other papers, is a paper by Emmanouil Milakis, Jill Pipher, and Tatiana Toro, which reflects and extends the ideas presented in the mini-course on Analysis on Non-smooth Domains delivered at the conference by Tatiana Toro. The topics of the contributed lectures cover a wide range of the field of Harmonic Analysis and Partial Differential Equations and illustrate the fruitful interplay between the two subfields.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II
Author :
Publisher : American Mathematical Soc.
Total Pages : 384
Release :
ISBN-10 : 9780821891483
ISBN-13 : 0821891480
Rating : 4/5 (83 Downloads)

Synopsis Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II by : David Carfi

This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.

Algebraic Topology: Applications and New Directions

Algebraic Topology: Applications and New Directions
Author :
Publisher : American Mathematical Soc.
Total Pages : 350
Release :
ISBN-10 : 9780821894743
ISBN-13 : 0821894749
Rating : 4/5 (43 Downloads)

Synopsis Algebraic Topology: Applications and New Directions by : Ulrike Tillmann

This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro
Author :
Publisher : American Mathematical Soc.
Total Pages : 454
Release :
ISBN-10 : 9780821893944
ISBN-13 : 0821893947
Rating : 4/5 (44 Downloads)

Synopsis Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro by : James W. Cogdell

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 222
Release :
ISBN-10 : 9780821890370
ISBN-13 : 0821890379
Rating : 4/5 (70 Downloads)

Synopsis Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by : Vyjayanthi Chari

This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.

The Influence of Solomon Lefschetz in Geometry and Topology

The Influence of Solomon Lefschetz in Geometry and Topology
Author :
Publisher : American Mathematical Soc.
Total Pages : 240
Release :
ISBN-10 : 9780821894941
ISBN-13 : 0821894943
Rating : 4/5 (41 Downloads)

Synopsis The Influence of Solomon Lefschetz in Geometry and Topology by : Ernesto Lupercio

The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.

Operator Methods in Wavelets, Tilings, and Frames

Operator Methods in Wavelets, Tilings, and Frames
Author :
Publisher : American Mathematical Soc.
Total Pages : 192
Release :
ISBN-10 : 9781470410407
ISBN-13 : 1470410400
Rating : 4/5 (07 Downloads)

Synopsis Operator Methods in Wavelets, Tilings, and Frames by : Keri A. Kornelson

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.

Expository Lectures on Representation Theory

Expository Lectures on Representation Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 236
Release :
ISBN-10 : 9780821891407
ISBN-13 : 0821891405
Rating : 4/5 (07 Downloads)

Synopsis Expository Lectures on Representation Theory by : Kiyoshi Igusa

This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.