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	Mikhail Gromov - Wikipedia, the free encyclopedia
		Mikhail Leonidovich Gromov Russian: Михаил Леонидович Громов (born December 23, 1943, also known as Mikhael Gromov, Michael Gromov, or Misha Gromov) is a mathematician known for important contributions in many different areas of mathematics.
		Gromov's impact has been felt most heavily in geometric group theory, where he characterized groups of polynomial growth and created the notion of hyperbolic group; symplectic topology, where he introduced pseudoholomorphic curves, and in Riemannian geometry.
		Mikhail Gromov studied for a doctorate (1973) in Leningrad, where he was a student of V.
	en.wikipedia.org /wiki/Mikhail_Gromov (328 words)

	North American Kyoto Prize Web Site: Kyoto Prize
		Gromov has pioneered entirely new disciplines in a variety of fields, including geometry and analysis, and has had a substantial impact on all the mathematical sciences.
		Gromov's work includes his studies of isometric imbedding and the regular homotopy theory from the 1960s to the early 1970s, and his study of Riemannian spaces from the late 1970s to the 1980s, which, in particular, established revolutionary concepts.
		Gromov, however, applied the idea of defining a metric structure for the family to the study of discrete groups, and proved that discrete groups with polynomial growth have nilpotency.
	www.kyotoprize.org /bio_gromov.htm (512 words)

	Previous Recipients, Nemmers Prizes, Office of the Provost, Northwestern University
		Mikhael L. Gromov is professor of mathematics at the Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France, and Jay Gould Professor of Mathematics at the Courant Institute of Mathematical Sciences at New York University.
		Gromov's work on symplectic manifolds has played a central role in the development of string theory, one of the most promising unified field theories of theoretical physics.
		Gromov is the recipient of numerous distinguished awards, including the Kyoto Prize (2002), the Balzan Prize (1999), the Leroy P. Steele Prize (1997), the Lobatchewski Medal (1997), the Wolf Prize (1993), the Prix UAP (1989), Elie Cartan Prize (1984), Oswald Veblen Prize in Geometry (1981), and the Moscow Mathematical Society Prize (1971).
	www.northwestern.edu /provost/awards/nemmers/nemprmath.html (2148 words)

	North American Kyoto Prize Web Site: Kyoto Prize
		Gromov is a professor both at the Institute des Hautes Études Scientifiques near Paris and at New York University's Courant Institute of Mathematical Sciences.
		Gromov proposed the innovative idea of considering the distance between spaces -- which he identified as "like" (close) or "unlike" (far) -- to create a deeper understanding by allowing spaces to be compared.
		Gromov has therefore had an immeasurable impact on all of the mathematical sciences.
	www.kyotoprize.org /pressrel_062102_b.htm (784 words)

	Gromov, Rubinstein receive 2003-04 Nemmers Prizes, Observer Online (04-08-2004), Northwestern University
		Mikhael L. Gromov professor of mathematics at the Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France, and Jay Gould Professor of Mathe-matics at the Courant Institute of Mathematical Sciences at New York University, has been named the recipient of the Frederic Esser Nemmers Prize in Mathematics.
		In connection with their receipt of these prizes, Gromov and Rubinstein are expected to deliver public lectures and participate in other scholarly activities at Northwestern University during the 2004-05 academic year.
		Gromov’s work is “both tremendously elegant and immediately relevant to problems in applied mathematics and mathematical physics in a way that reflects his tremendous creativity and excellent taste,” said Ezra Getzler, professor of mathematics at Northwestern University.
	www.northwestern.edu /observer/issues/2004-04-08/nemmers.html (755 words)

	Notiziario UMI Agosto-Settembre 2004: Notizie Varie
		MIKHAEL L. GROMOV, professore presso l'Institut des Hautes Ètudes Scientifiques, Bures-sur-Yvette, France, ed anche Jay Gould Professor of Mathematics presso il Courant Institute of Mathematical Sciences dell'Università di New York, ha ricevuto il Frederic Esser Nemmers Prize in Mathematics.
		In connection with the prize, Gromov is expected to deliver public lectures and participate in other scholarly activities at Northwestern University during the 2004-05 academic year.
		The Selection Committee for the prize recognized Gromov "for his work in Riemannian geometry, which revolutionized the subject; his theory of pseudoholomorphic curves in symplectic manifolds; his solution of the problem of groups of polynomial growth; and his construction of the theory of hyperbolic groups."
	umi.dm.unibo.it /italiano/Varie/2004/varie0809.html (839 words)

	Hyperbolic Metric Spaces (Site not responding. Last check: 2007-10-31)
		Using this property of hyperbolic space, it is possible to generalize the notion of hyperbolicity to abstract geodesic metric spaces; and thanks to some deeply insightful definitions of M. Gromov in the 1980's to metric spaces in general.
		Hyperbolic metric spaces arise naturally as the boundaries at infinity of hyperbolic manifolds (the boundary at infinity of n-dimensional hyperbolic space is the n-1 sphere).
		A good place to start is Sur les Groupes Hyperboliques d'apres Mikhael Gromov which is edited by E. Ghys and P. de la Harpe.
	www.math.lsa.umich.edu /~kwildric/Research/Hyperbolic.html (306 words)

	Dossier/Special 10/2004 (Site not responding. Last check: 2007-10-31)
		Mikhael L. Gromov, professeur de mathématiques à l'Institut des Hautes Etudes Scientifiques (IHES) est le lauréat du prix Nemmers 2004 pour ses recherches en mathématiques.
		Mikhael L. Gromov professor of mathematics at the Institut des Hautes Études Scientifiques, in France, has been named the recipient of the Frederic Esser Nemmers Prize in Mathematics.
		Gromov is expected to deliver public lectures and participate in other scholarly activities at Northwestern University during the 2004-2005 academic year.
	www.consulfrance-chicago.org /France-Midwest/1004dos.htm (527 words)

	All Information of Eitri (Site not responding. Last check: 2007-10-31)
		Mikhail Leonidovich Gromov Russian language Михаил Леонидович Громов (born December 23, 1943, also known as Mikhael Gromov, Michael Gromov, or Misha Gromov) is a mathematician known for important contributions in many different areas of geometry, especially metric geometry, symplectic geometry, and geometric group theory.
		Mikhail Gromov studied for a doctorate (1973) in Saint Petersburg, where he was a student of V.
		He is known, amongst other things, for his h-principle on differential relation s, for his work on hyperbolic group s, and for introducing pseudoholomorphic curve s into symplectic topology.
	eitri.en.xvip.org (522 words)

	Citations: Sur les Groupes Hyperboliques d'apr'es Mikhael Gromov - Ghys, Harpe (ResearchIndex) (Site not responding. Last check: 2007-10-31)
		A very important property of R trees is that they are hyperbolic spaces in the sense of Gromov, in fact they are 0 hyperbolic, i.e.
		....conditions for X to be ffi hyperbolic in the sense of Gromov, or negatively curved in the sense of Cannon.
		Gromov has suggested that such groups are in a sense generic.
	citeseer.ist.psu.edu /context/87183/0 (4029 words)

	Atlas Conferences (Site not responding. Last check: 2007-10-31)
		The Mathematics and Computer Science Department of the University of San Diego is pleased to assist the Inamori Foundation in honoring Professor Mikhael Gromov, the 2002 Kyoto Prize recipient in the Mathematical Sciences on March 6, 2003.
		The Thursday afternoon presentations and reception comprise the Basic Science program of the 2003 Kyoto Laureate Symposium to be held at the Joan B. Kroc Institute for Peace and Justice on the University of San Diego campus.
		We wish to extend a warm invitation to all mathematicians to attend this memorable occasion to salute the mathematical contributions of Mikhael Gromov in geometry and algebra.
	atlas-conferences.com /cgi-bin/calendar/d/faci71 (145 words)

	Math 6843 Topics in Topology I
		The second major influence, pioneered by Mikhael Gromov [G1], [G2] and [G3], involves studying infinite groups as geometric objects.
		One of Gromov's key contributions in this area is the development of the concept of large scale (or coarse) hyperbolicity, and the realization that the large scale phenomena associated with negative curvature have some dramatic consequences in group theory.
		Then we shall study Gromov's hyperbolic groups and see that they too have a Dehn's algorithm solution to the word problem.
	www.math.ou.edu /grad/course/SP00/6843.htm (384 words)

	Professor Mario Bonk Abstract (Site not responding. Last check: 2007-10-31)
		Gromov introduced a notion of hyperbolicity for general metric spaces.
		In this talk I will give a brief survey of this theory and show how the concept of Gromov hyperbolicity is useful in various areas of analysis.
		Gromov, Hyperbolic Groups, in: Essays in Group Theory, S.
	www.math.uiuc.edu /hilda/htmlcalendars/Feb21_00/bonk_feb24-00.html (105 words)

	Amazon.fr : Metric Structures for Riemannian and Non-Riemannian Spaces : Livres en anglais (Site not responding. Last check: 2007-10-31)
		The new wave began with seminal papers by Svarc and Milnor on growth of groups and the spectacular proof of the rigidity of lattices by Mostow.
		Also, Gromov found metric structure within homotopy theory and thus introduced new invariants controlling combinatorial complexity of maps and spaces, such as the simplicial volume, which is responsible for degrees of maps between manifolds.
		Additionally, four appendices---by Gromov on Levys inequality, by Pansu on quasiconvex domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures---as well as an extensive bibliography and index round out this unique and beautiful book.
	www.amazon.fr /exec/obidos/ASIN/0817638989 (735 words)

	[No title]
		Per i molteplici, profondi e originalissimi contributi dati alla geometria in tutte le sue forme e per le applicazioni che ne ha fatto in molti altri campi della matematica e della fisica teorica
		Mikhael Gromov è nato nel 1943 a Boksitogorsk (Urss); dal 1992 è cittadino francese.
		Si può considerare il professor Gromov un vero gigante del pensiero matematico per l'originalità e l'impatto delle sue idee.
	www.balzan.it /Premiati.aspx?Codice=0000000454&cod=0000000457 (106 words)

	GROMOV, MIKHAEL - CIRS
		Gromov's work concerns geometry and topology of partial differential equations, Riemannian, sub-Riemannian and sympletic geometry, asymptotic theory of infinite groups and geometro-combinatorial aspects of probability.
		Interview: Mikhael Gromov 1, 213, Development of Mathematics 1950-2000, edited by Jean-Paul pier, Boston, MA, Birkhauser (2000).
		Pattern formation in Biology, Vision and Dynamics, (with A. Carbone and P. Prusinkiewicz) publiblished by World Scientific Publishing Co. Pte.
	www.cirs.net /researchers/researchers.php?id=278 (681 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		For his numerous, most original and profound contributions to Geometry in its various forms, and for the way in which he has applied them to many other domains of Mathematics and of Theoretical Physics
		Mikhael Gromov was born in 1943 in Boksitogorsk (USSR); he has been a French citizen since 1992.
		Professor Gromov can be considered a true giant in his field for the originality and impact of his ideas.
	www.balzan.it /Premiati_eng.aspx?Codice=0000000497&nome=Mikhael+Gromov (116 words)

	Proceedings of the American Mathematical Society
		Abstract: We detail a proof of a result of Gromov, that hyperbolic groups (and metric spaces) have finite asymptotic dimension.
		M. Bonk and O. Schramm, Embeddings of Gromov hyperbolic spaces, Geometric and Functional Analysis 10 (2000), 266-306.
		E. Ghys and P. de la Harpe, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics, vol.
	www.mathaware.org /proc/2005-133-09/S0002-9939-05-08138-4/home.html (194 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		Professor Mikhael Gromov has introduced a large number of very original new concepts into the classical field of differential geometry which have led to the solution of a large number of important and apparently unsolvable problems.
		He has introduced new invariants linking the differential geometric structures with those of algebraic topology which have proved their value both in Gromov´s hands and in the hands of others.
		He succeeded, for example, in estimating the Betti numbers of Riemannian manifolds solely in terms of a lower bound on the sectional curvature.
	www.wolffund.org.il /full.asp?id=76 (466 words)

	Novikov Conjectures, Index Theorems, and Rigidity - Cambridge University Press
		• Research/survey papers on the Novikov Conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg.
		Reflections on the Novikov conjecture Mikhael Gromov; 5.
		William Browder, S. Ferry, Mikhael Gromov, Gennadi Kasparov, Frank Quin, John Milnor, A. Mishchenko, Andrew Ranicki, J. Rosenberg, Shmuel Weinberger
	www.cambridge.org /uk/catalogue/print.asp?isbn=0521497965&print=y (382 words)

	[No title]
		Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov
		A short proof of Gromov non-hyperbolicity of Teichmueller spaces
		Appendix to Groups of polynomial growth and expanding maps by M. Gromov
	www.math.ethz.ch /~theo/theoarticles.php (1092 words)

	Math 597F Homepage, Spring 2002 (Site not responding. Last check: 2007-10-31)
		Ghys and de la Harpe, Les Groupes Hyperboliques d'apres Mikhael Gromov
		The complete works of the aforementioned Mikhael Gromov, especially Asymptotic Invariants of Infinite Groups and Metric Structures for Riemannian and Non-Riemannian Spaces
		Gromov hyperbolicity, homological consequences, Mineyev's remetrization theorem, Bonk-Schramm embedding theorem
	www.math.psu.edu /roe/597F/home.html (186 words)

	Riemannian manifolds with small integral norm of curvature, Deane Yang
		[4] Jeff Cheeger and Mikhael Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded, II, preprint.
		[5] Jeff Cheeger and Mikhael Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded.
		[10] Mikhael Gromov, Structures métriques pour les variétés riemanniennes, Textes Mathématiques [Mathematical Texts], vol.
	projecteuclid.org /getRecord?id=euclid.dmj/1077295268 (276 words)

	Metric Structures For Riemannian & Non-Riemannian Spaces; Author: Gromov, Mikhael; Author: Translator Bates, S. M.; ... (Site not responding. Last check: 2007-10-31)
		Author: Gromov, Mikhael; Author: Translator Bates, S. Series#:152; Progress in Mathematics; Hardback; Book; 13 Halftones, 86 B&w Illustrations
		Birkhauser Verlag AG This book explores exciting new connections between geometry and probability theory, as well as their links to analysis.
		Prices subject to change to be advised on confirmation of order.
	www.netstoreusa.com /mabooks/081/0817638989.shtml (247 words)

	BookHq: Metric Structures for Riemannian and Non-Riemannian Spaces by Mikhael Gromov,S. M. Bates (Translator),M. Gromov ...
		BookHq: Metric Structures for Riemannian and Non-Riemannian Spaces by Mikhael Gromov,S. Bates (Translator),M. Gromov (0817638989)
		Made with superfine drawing paper & hand stitched with archival quality linen.
		The 10-digit ISBN# is typically found on the back of your book.
	www.bookhq.com /compare/0817638989.html (124 words)

	Citations: Sur les Groupes Hyperboliques d'apr`es Mikhael Gromov - Groupes, es, Ghys, eds, Basel (ResearchIndex) (Site not responding. Last check: 2007-10-31)
		Citations: Sur les Groupes Hyperboliques d'apr`es Mikhael Gromov - Groupes, es, Ghys, eds, Basel (ResearchIndex)
		Please let us know if you encounter any data corruptions.
		Sur les Groupes Hyperboliques d'apr`es Mikhael Gromov (E. Ghys, P. de la Harpe, eds.), Birkhauser, Basel, 1990.
	citeseer.ist.psu.edu /context/208041/0 (132 words)

	Amazon.com: Pattern Formation in Biology, Vision and Dynamics: Books: Alessandra Carbone,Misha Gromov,Przemsylaw ... (Site not responding. Last check: 2007-10-31)
		Amazon.com: Pattern Formation in Biology, Vision and Dynamics: Books: Alessandra Carbone,Misha Gromov,Przemsylaw Prusinkiewicz,Mikhael Gromov
		Join Amazon Prime and ship Two-Day for free and Overnight for $3.99.
		by Alessandra Carbone (Editor), Misha Gromov (Editor), Przemsylaw Prusinkiewicz (Editor), Mikhael Gromov (Editor)
	www.amazon.com /exec/obidos/tg/detail/-/9810237928?v=glance (503 words)

	Best Book Buys - Search (Site not responding. Last check: 2007-10-31)
		Geometries in Interaction: GAFA Special Issue in Honor of Mikhail Gromov
		by S. Donaldson, S. Donaldson (Editor), Y. Eliashberg (Editor), Mikhael Gromov (Editor), Yakov Eliashberg (Editor), Simon Donaldson
		All trademarks are owned by the respective company or Best Web Buys.
	bestwebbuys.com /Y_Eliashberg-author.html?isrc=Inktomi-b-compare-author (98 words)

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