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Title: [Seminars on Congruent Number Problem Session Two: Congruent Number Problem and Heegner Points]
Originating Office: IAS
Speaker: Zhang, Shou-Wu
Issue Date: 10-Jul-2012
Event Date: 10-Jul-2012
Group/Series/Folder: Record Group 8.15 - Institute for Advanced Study
Series 3 - Audio-visual Materials
Location: 8.15:3 box 1.8
Notes: IAS Seminars on Congruent Number Problem.
Abstract: In this talk, Prof Zhang describes a method of Heegner to solve the equation y2 = x3 - x using modular parametrizations. In particular, Heegner showed that a prime p is a congruent number if it is 5 or 7 modulo 8. Such a work has been generalized by Stephen-Birch and Monsky to products of two primes.
Prof Zhang's research areas include number theory and arithmetic algebraic geometry. He is on the editorial boards of the Journal of Algebraic Geometry, Journal of Differential Geometry, and Science in China, among other publications.
Prof Zhang was an invited speaker of the International Congress of Mathematicians at Berlin in 1998 and was awarded a Morningside Gold Medal of Mathematics in the same year by the International Congress of Chinese Mathematicians for his work on the Bogomolov conjecture and Gross-Zagier formula. He was a Sloan Research Fellow, a Guggenheim Fellow, a L.-K. Hua Chair Professor at Chinese Academy of Sciences, a Changjiang Chair Professor at Tsinghua University, and a Prize Fellow at Clay Mathematical Institute. In 2011, he was elected Fellow of the American Academy of Arts and Sciences.
Duration: 95 min.
Appears in Series:8.15:3 - Audio-visual Materials
Videos for Public -- Distinguished Lectures