Point-Counting and the Zilber–Pink Conjecture, 9781009170321
Hardcover
Tame geometry unlocks deep secrets of numbers and space.

Point-Counting and the Zilber–Pink Conjecture

$332.24

  • Hardcover

    268 pages

  • Release Date

    9 June 2022

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Summary

Point Counting and Diophantine Geometry: Unveiling the Zilber-Pink Conjecture

Point-counting results for sets in real Euclidean space have sparked remarkable advancements in diophantine geometry, leading to significant progress on the André–Oort and Zilber–Pink conjectures.

This progress melds concepts near to transcendence theory with the inherent tameness of sets definable within an o-minimal structure, weaving together model theory, transcendence theory, and arithmetic.

Book Details

ISBN-13:9781009170321
ISBN-10:1009170325
Series:Cambridge Tracts in Mathematics
Author:Jonathan Pila
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:268
Release Date:9 June 2022
Weight:543g
Dimensions:235mm x 157mm x 22mm
What They're Saying

Critics Review

‘… a good reference for researchers intending to start work on this conjecture and related subjects.’ Ricardo Bianconi, MathSciNet

About The Author

Jonathan Pila

Jonathan Pila is Reader in Mathematical Logic and Professor of Mathematics at the University of Oxford, and a Fellow of the Royal Society. He has held posts at Columbia University, McGill University, and the University of Bristol, as well as visiting positions at the Institute for Advanced Study, Princeton. His work has been recognized by a number of honours and he has been awarded a Clay Research Award, a London Mathematical Society Senior Whitehead Prize, and shared the Karp Prize of the Association for Symbolic Logic. This book is based on the Weyl Lectures delivered at the Institute for Advanced Study in Princeton in 2018.

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