Celebratio Mathematica

M. F. Atiyah: “Topology of elliptic operators,” pp. 101–119 in Global analysis (Berkeley, CA, 1–26 July 1968). Edited by S.-S. Chern and S. Smale. Proceedings of Symposia in Pure Mathematics 16. American Mathematical Society (Providence, RI), 1970. MR 0264700 Zbl 0207.22601 incollection

Stephen Smale	Related
S. S. Chern	Related	Volume

M. F. Atiyah: “Real and complex geometry in four dimensions,” pp. 1–10 in The Chern Symposium 1979 (Berkeley, CA, June 1979). Edited by W. Y. Hsiang. Springer (New York), 1980. MR 609554 Zbl 0454.53043 incollection

Some fifty years ago Einstein’s theory of general relativity provided a great stimulus for different geometry, but after a period of fruitful interaction the interests of geometers and physicists diverged. Within the past few years there has been a resurgence of geometrical ideas in physics, arising partly from the popularity of gauge theories in elementary-particle physics and partly from the work of Hawking and Penrose on black holes. A characteristic feature in both cases has been the significance of global or topological properties, and it is this feature which has particularly attracted mathematicians.

The ideas and problems arising in this way have had a considerable impact on geometry, especially the differential geometry of four dimensions. Through the remarkable twistor theory of Penrose [1977] there is also an intimate connection with complex analytic geometry. In this lecture I shall attempt to survey these mathematical developments with especial emphasis on Penrose’s ideas and their application.

S. S. Chern	Related	Volume
Wu-yi Hsiang	Related

M. F. Atiyah: “Gauge theory and algebraic geometry,” pp. 1–20 in Differential geometry and differential equations (Beijing, 1980), vol. 1. Edited by S.-S. Chern and W.-t. Wu. Science Press, Gordon and Breach (Beijing, New York), 1982. Zbl 0544.14012 incollection

Wen-tsün Wu	Related
S. S. Chern	Related	Volume

M. Atiyah: “Mathematics in the 20th century,” pp. 1–21 in Contemporary trends in algebraic geometry and algebraic topology (Tianjin, China, 9–13 October 2000). Edited by S.-S. Chern, L. Fu, and R. M. Hain. Nankai Tracts in Mathematics 5. World Scientific (River Edge, NJ), 2002. See also versions in Amer. Math. Mon. 108:7 (2001), Math. Today 37:2 (2001), N.T.M. 10:1 (2002), Bull. Lond. Math. Soc. 34:1 (2002), Wiadom. Mat. 39 (2003) and Adv. Math. (China) 33:1 (2004). MR 1945353 Zbl 1038.01014 incollection

S. S. Chern	Related	Volume
Richard M. Hain	Related
Lei Fu	Related

@incollection {key1945353m,
	AUTHOR = {Atiyah, Michael},
	TITLE = {Mathematics in the 20th century},
	BOOKTITLE = {Contemporary trends in algebraic geometry
		 and algebraic topology},
	EDITOR = {Shiing-Shen Chern and Lei Fu and Richard
		 Martin Hain},
	SERIES = {Nankai Tracts in Mathematics},
	NUMBER = {5},
	PUBLISHER = {World Scientific},
	ADDRESS = {River Edge, NJ},
	YEAR = {2002},
	PAGES = {1--21},
	DOI = {10.1142/9789812777416_0001},
	NOTE = {(Tianjin, China, 9--13 October 2000).
		 See also versions in \textit{Amer. Math.
		 Mon.} \textbf{108}:7 (2001), \textit{Math.
		 Today} \textbf{37}:2 (2001), \textit{N.T.M.}
		 \textbf{10}:1 (2002), \textit{Bull.
		 Lond. Math. Soc.} \textbf{34}:1 (2002),
		 \textit{Wiadom. Mat.} \textbf{39} (2003)
		 and \textit{Adv. Math. (China)} \textbf{33}:1
		 (2004). MR:1945353. Zbl:1038.01014.},
	ISBN = {9789810249540},
}

M. Atiyah and G. Segal: “Twisted \( K \)-theory and cohomology,” pp. 5–43 in Inspired by S. S. Chern. Edited by P. Griffiths. Nankai Tracts in Mathematics 11. World Scientific (Hackensack, NJ), 2006. MR 2307274 Zbl 1138.19003 ArXiv math/0510674 incollection

Phillip A. Griffiths	Related
S. S. Chern	Related	Volume
Graeme Bryce Segal	Related

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Michael F. Atiyah

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