Perspectives in Analysis, Geometry, and Topology: On the Occasion of the 60th Birthday of Oleg Viro (Progress in Mathematics, 296) 1st Edition by Ilia Itenberg (PDF)

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The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman’s spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.

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Editorial Reviews: From the Back Cover A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology was held at Stockholm University in May 2008. The choice of subjects of the Symposium and present volume was motivated by the work and mathematical interests of Oleg Viro to whom the Symposium and this volume are dedicated. As a professor of Uppsala University, Viro has made invaluable contributions to Swedish research by complementing the country’s longstanding tradition in analysis with his own renowned expertise in geometry and topology.Consolidating in a single volume a major portion of the recent, impressive encounters among the fields of analysis, geometry, and topology would be too ambitious. The collection of papers in this work still should give some sense of the development of the fields and their interactions. The topics presented by leading experts in their respective fields include: algebraic geometry, in particular, real algebraic geometry, differential geometry, symplectic and contact geometry, complex analysis, three- and four-dimensional manifolds, and invariants of links.Also included in the book is the opening speech of the Symposium by Lennart Carleson on the Unity of Mathematics.Contributors:S. AkbulutK. BakerR. BermanA. DegtyarevJ.-P. DemaillyT. EkholmY. EliashbergM. EntovJ. EtnyreD. GayG. HenkinI. ItenbergL. KauffmanK. KavehM. KhanevskyV. KharlamovA. KhovanskiiC. ManolescuN. MishachevN. MokS. OrevkovL. PolterovichP. PyN. ReshetikhinA. ShumakovitchE. ShustinA. StipsiczC. StroppelB. WebsterC. Woodward

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