The Edinburgh Lectures on Geometry, Analysis and Physics by Sir Michael Atiyah - Free PDF
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About this book :-
The Edinburgh Lectures on Geometry, Analysis and Physics by Sir Michael Atiyah are a series of six talks he gave in 2008–2009 at the University of Edinburgh. In these lectures, Atiyah explored how ideas from geometry and analysis connect deeply with modern physics. It discussed topics like K-theory, index theorems, and concepts from quantum field theory, often linking them to open questions rather than settled answers. The lectures are short but full of deep insight, reflecting Atiyah’s unique ability to bridge abstract mathematics with physical theories. They are aimed at advanced students and researchers but are written in a way that encourages curiosity and exploration.
Book Detail :-
This book has following details information.
Title:
The Edinburgh Lectures on Geometry, Analysis and Physics by Sir Michael Atiyah - Free PDF
Publisher:
arXiv
Year:
2010
Pages:
40
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
1. From Euclidean 3-space to complex matrices
1.1 Introduction
1.2 Euclidean geometry and projective space
1.3 From points to polynomials
1.4 Some physics: hyperbolic geometry
1.5 The hyperbolic conjecture
1.6 The Minkowski space conjecture
1.7 The normalised determinant
1.8 Relation to analysis and physics
1.9 Mysterious links with physics
List of conjectures
2. Vector bundles over algebraic curves and counting rational points
2.1 Introduction
2.2 Review of classical theory
2.3 Analogy with number theory
2.4 Relation between homology and counting rational points
2.5 The approach via Morse theory
2.6 Counting rational points
2.7 Comparison of equivariant Morse theory and counting rational points
2.8 Relation to physics
2.9 Finite-dimensional approximations
2.10 Relation of ?-functions for finite fields and Riemann’s ??-function
2.11 Arithmetic algebraic geometry (Arakelov theory)
2.12 Other question
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