TIMS Taipei Number Theory Seminar (2019)

Speaker: Prof. Aaron Levin (Michigan State University, USA)
Title: Greatest common divisors in Diophantine approximation and Nevanlinna theory
Abstract: In 2003, Bugeaud, Corvaja, and Zannier gave an (essentially sharp) upper bound for the greatest common divisor gcd(a^n-1,b^n-1), where a and b are fixed integers and n varies over the positive integers. In contrast to the elementary statement of their result, the proof required deep results from Diophantine approximation. I will discuss a higher-dimensional generalization of their result, and related results in Nevanlinna theory (joint work with Julie Wang).
Date: Friday, May 31, 2019
Time: 10:30 - 11:30
Place: Room 103, Mathematics Research Center Building, NTU
Organizer: Prof. Liang-Chung Hsia (National Taiwan Normal University)

                   Prof. Julie Tzu-Yueh Wang (Academia Sinica)

  Prof. Jing Yu (National Taiwan University & TIMS)
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Taida Institute for Mathematical Sciences, NTU

Tel: 886-2-3366-9902 (Wei-Jhen Tsai)

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