Softcover ISBN:  9780821847770 
Product Code:  CRMP/50 
List Price:  $132.00 
MAA Member Price:  $118.80 
AMS Member Price:  $105.60 
eBook ISBN:  9781470415846 
Product Code:  CRMP/50.E 
List Price:  $132.00 
MAA Member Price:  $118.80 
AMS Member Price:  $105.60 
Softcover ISBN:  9780821847770 
eBook: ISBN:  9781470415846 
Product Code:  CRMP/50.B 
List Price:  $264.00 $198.00 
MAA Member Price:  $237.60 $178.20 
AMS Member Price:  $211.20 $158.40 
Softcover ISBN:  9780821847770 
Product Code:  CRMP/50 
List Price:  $132.00 
MAA Member Price:  $118.80 
AMS Member Price:  $105.60 
eBook ISBN:  9781470415846 
Product Code:  CRMP/50.E 
List Price:  $132.00 
MAA Member Price:  $118.80 
AMS Member Price:  $105.60 
Softcover ISBN:  9780821847770 
eBook ISBN:  9781470415846 
Product Code:  CRMP/50.B 
List Price:  $264.00 $198.00 
MAA Member Price:  $237.60 $178.20 
AMS Member Price:  $211.20 $158.40 

Book DetailsCRM Proceedings & Lecture NotesVolume: 50; 2010; 403 ppMSC: Primary 01; 18; 19; 35; 55; 57; 58; 81
A fiveday conference celebrating the legacy of Raoul Bott was held at the CRM on June 9–13, 2008. The conference focused on the extraordinary impact Bott had on both topology and interactions between mathematics, physics and technology. The conference was coorganized by the Clay Mathematics Institute and had support from the National Science Foundation (Award 0805925). Montreal was a natural venue for such an event since Raoul Bott obtained two degrees in electrical engineering at McGill University in the 1940s and an honorary doctorate from McGill in 1987. The fact that Bott's presence is still fresh in the minds of all those involved made for a tremendous amount of enthusiasm and every attempt has been made to channel this energy into this book.
The contributions to this book come from three generations of Bott's students, coauthors, and fellow kindred spirits in order to cover six decades of Bott's research, identify his enduring mathematical legacy and the consequences for emerging fields. The contributions can be read independently. In order to help a whole to emerge from the parts, the book is broken into four sections and to make the book accessible to a wide audience, each section starts with easiertoread reminiscences and works its way into more involved papers.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
ReadershipUndergraduates, graduate students and research mathematicians interested in the life and work of Raoul Bott.

Table of Contents

Chapters

Introduction

Montréal, the 1940s, and mathematical prehistory

My parents’ Montréal years and growing up with Raoul as my father

Raoul Bott, McGill, the 1940s

Iron rings, Doctor Honoris Causa Raoul Bott, Carl Herz, and a hidden hand

The Bott–Duffin synthesis of electrical circuits

Early students and colleagues

Raoul Bott as we knew him

Working with Raoul Bott: From geometry to physics

The algorithmic side of Riemann’s mathematics

Actions of Lie groups and Lie algebras on manifolds

PDE from the point of view of multiplier ideals

Dirac operator and $K$theory for discrete groups

The Lefschetz principle, fixed point theory, and index theory

A new look at the theory of levels

On the space of morphisms between Étale groupoids

Localization, equivariance and outgrowths of Morse theory and periodicity

Raoul Bott as we knew him

Loop products on connected sums of projective spaces

Equivariant cohomology and reflections

Connectedness of level sets of the moment map for torus actions on the based loop group

Computing characteristic numbers using fixed points

From minimal geodesics to supersymmetric field theories

Dualities and interactions with quantum field theory

Raoul Bott as my math teacher

A physics colloquium at McGill that changed my life

Geometric Langlands from six dimensions

Duality and equivalence of module categories in noncommutative geometry

Generalized complex geometry and Tduality

Topological quantum field theories from compact Lie groups


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A fiveday conference celebrating the legacy of Raoul Bott was held at the CRM on June 9–13, 2008. The conference focused on the extraordinary impact Bott had on both topology and interactions between mathematics, physics and technology. The conference was coorganized by the Clay Mathematics Institute and had support from the National Science Foundation (Award 0805925). Montreal was a natural venue for such an event since Raoul Bott obtained two degrees in electrical engineering at McGill University in the 1940s and an honorary doctorate from McGill in 1987. The fact that Bott's presence is still fresh in the minds of all those involved made for a tremendous amount of enthusiasm and every attempt has been made to channel this energy into this book.
The contributions to this book come from three generations of Bott's students, coauthors, and fellow kindred spirits in order to cover six decades of Bott's research, identify his enduring mathematical legacy and the consequences for emerging fields. The contributions can be read independently. In order to help a whole to emerge from the parts, the book is broken into four sections and to make the book accessible to a wide audience, each section starts with easiertoread reminiscences and works its way into more involved papers.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
Undergraduates, graduate students and research mathematicians interested in the life and work of Raoul Bott.

Chapters

Introduction

Montréal, the 1940s, and mathematical prehistory

My parents’ Montréal years and growing up with Raoul as my father

Raoul Bott, McGill, the 1940s

Iron rings, Doctor Honoris Causa Raoul Bott, Carl Herz, and a hidden hand

The Bott–Duffin synthesis of electrical circuits

Early students and colleagues

Raoul Bott as we knew him

Working with Raoul Bott: From geometry to physics

The algorithmic side of Riemann’s mathematics

Actions of Lie groups and Lie algebras on manifolds

PDE from the point of view of multiplier ideals

Dirac operator and $K$theory for discrete groups

The Lefschetz principle, fixed point theory, and index theory

A new look at the theory of levels

On the space of morphisms between Étale groupoids

Localization, equivariance and outgrowths of Morse theory and periodicity

Raoul Bott as we knew him

Loop products on connected sums of projective spaces

Equivariant cohomology and reflections

Connectedness of level sets of the moment map for torus actions on the based loop group

Computing characteristic numbers using fixed points

From minimal geodesics to supersymmetric field theories

Dualities and interactions with quantum field theory

Raoul Bott as my math teacher

A physics colloquium at McGill that changed my life

Geometric Langlands from six dimensions

Duality and equivalence of module categories in noncommutative geometry

Generalized complex geometry and Tduality

Topological quantum field theories from compact Lie groups