Analogues of Diophantine approximation
in number theory for Nevanlinna
theory
Professor
Zhuan Ye
Abstract
Nevanlinna theory of meromorphic
functions is one of the great mathematical achievements of the twentieth
century. The most striking result in Nevanlinna
theory is the second main theorem. Based on C. Osgood's observation and P. Vojta's dictionary between Diophantine approximation in
number theory and Nevanlinna theory, S. Lang raised a
number of conjectures and questions in Nevanlinna
theory. In this lecture, the speaker is going to show the formal analogue of
Roth's theorem is the second main theorem in Nevanlinna
theory, which motivates one to find the best structure of the error term of the
second main theorem. Many other analogues of number theory in Nevanlinna theory are going to be discussed.
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Date: |
October 6, 2005 (Thursday) |
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Time: |
4:00 – 5:00pm |
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Place: |
Room 517, Meng
Wah Complex |
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All are welcome |