Lipman Bers, a life in mathematics

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書誌事項

Lipman Bers, a life in mathematics

Linda Keen, Irwin Kra, Rubí E. Rodríguez, editors

American Mathematical Society, c2015

  • : [pbk.]

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注記

Includes bibliographical references

内容説明・目次

内容説明

The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis - quasiconformal mappings and moduli of Riemann surfaces - and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture. The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.

目次

Pages from a Memoir by L. Bers, R. Shapiro, and V. Bers Lipman Bers and partial differential equations by L. Nirenberg Bers From graduate student to quasiconformal mapper by W. Abikoff and R. J. Sibner Measurable Riemann mappings by S. A. Wolpert The Ahlfors-Bers creation of the modern theory of Kleinian groups - A small acorn grows to a mighty oak by A. Marden The Bers embedding and (some of) its ramifications by I. Kra and B. Maskit Lipman Bers, a retrospective by F. P. Gardiner and L. Keen The Weil-Petersson geometry of a family of Riemann surfaces by G. Riera and R. E. Rodriguez Legacy of work of Bers on the mapping class group by H. Masur Bers' pants decomposition theorem by A. Basmajian and P. Susskind Dennis Sullivan and Jeremy Kahn reminiscences by I. Kra Bers embeddings, skinning maps and hyperbolic geometry by Y. Minsky On the early history of moduli and Teichmuller spaces by N. A'Campo, L. Ji, and A. Papadopoulos Correction to ``Spaces of Riemann surfaces as bounded domains'' by L. Bers The migration of European mathematicians to America by L. Bers Lipman Bers May 22, 1914-October 29, 1993 by I. Kra and H. Bass Remembering Lipman Bers by C. S. Morawetz, C. Corillon, I. Kra, T. Weinstein, and J. Gilman Lipman Bers, a mathematical mentor by L. Keen, T. K. Milnor, L. Sibner, I. Kra, J. Gilman, and J. Dodziuk Doctoral students of Lipman Bers by L. Keen, I. Kra, and R. E. Rodriguez Publications of Lipman Bers by L. Keen, I. Kra, and R. E. Rodriguez

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