报告地点：行健楼学术活动室526
报告人简介：徐飞，首都师范大学特聘教授。获国家杰出青年基金项目、德国“洪堡基金”和教育部自然科学一等奖。曾先后主持国家自然科学基金重点项目、面上项目多项。主要从事代数数论、算术代数几何和代数群的算术理论方面的研究，已在该领域取得了一系列突破性的成果。在 Duke Math.J; Memoirs of AMS; Adv. Math.; J. reine und angew. Math.; Compositio Math.; Proc. Lond. Math. Soc.; Math. Ann.; Trans. Amer. Math. Soc. 等学术刊物发表论文四十余篇。
报告摘要：The integral solutions of Markoff surfaces has been studied by Markoff, Hurwitz, Mordell,... etc, and more recently by Ghosh and Sarnak. In this talk, we will study integral points of Markoff surfaces from geometric point of view by using Brauer-Manin obstruction and prove that any Markoff surface does not satisfy strong approximation with Brauer-Manin obstruction.Part of this work has also been obtained by Loughran and Mitankin independently. This is a joint work with Colliot-Thelene and Dasheng Wei.
