Speaker : Professor Tzu-Yueh Wang (Academia Sinica)
Title : Buchi's problem under a conjecture of Bombieri-Lang
Time : 2011-10-18 (Tue) 14:30 -
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: We will discuss Vojta's paper ``Diagnal quadratic forms and Hilber's Tenth Problem" on Contemporary Mathematics (2000) Vol. 270, pp 261-274. In this paper, he shows that a special case of Lang's conjecture on rational points on surfaces of general type would imply that Hilbert's Tenth Problem holds (negatively) for systems of linear equations in square of integers, following work of J. Richard Buchi.