The notion of dimension in geometry and algebra
Author:
Yuri I. Manin
Journal:
Bull. Amer. Math. Soc. 43 (2006), 139-161
MSC (2000):
Primary 14H10, 14N10
DOI:
https://doi.org/10.1090/S0273-0979-06-01081-0
Published electronically:
February 8, 2006
MathSciNet review:
2216108
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
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Additional Information
Yuri I. Manin
Affiliation:
Northwestern University, Evanston, Illinois, USA
Address at time of publication:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
MR Author ID:
190766
Received by editor(s):
April 24, 2005
Published electronically:
February 8, 2006
Additional Notes:
Based on the talks delivered at the AMS sectional meeting, Northwestern University, October 2004; and Blyth Lectures, University of Toronto, November 2004
Article copyright:
© Copyright 2006
Yuri I. Manin