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黄治中 博士:Distribution of rational points — past and present

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 黄治中 博士,IST Austria
Inviter:
Title:
Distribution of rational points — past and present
Time & Venue:
2021.05.14 16:00-17:00 南楼N204室
Abstract:
腾讯会议:669 725 335
The study of rational points on algebraic varieties over Q, i.e. rational solutions of systems of polynomial equations with rational coefficients, is a classical subject which goes back to Diophantus around AD 200. Until today we still have more conjectures than theorems. The geometric properties of the variety plays a dominant role in the density of its rational points, in various ways that are far from being satisfactorily understood. In this talk we briefly explain geometric motivations, summarise several leading conjectures due to e.g. Bombieri-Lang, Colliot-Thélène, Corvaja—Zannier, Manin, McKinnon, Peyre, Wittenberg, et al., and report our work towards them.

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