报告人：Farkhod Eshmatov（新乌兹别克斯坦大学）

报告时间：2026年6月9日（周二）下午15:00 - 16:00

报告地点：国交二号楼315会议室

报告摘要：The Markoff equation  x^2 + y^2 + z^2 = 3xyz is a classical Diophantine equation whose integer solutions encode optimal approximation properties of irrational numbers.In this talk, we review the structure of Markoff triples, their generation via Vieta involutions, and their relation to Diophantine approximation.We then describe connections with hyperbolic geometry via trace identities in SL_2(R), and outline more recent developments linking Markoff-type structures to the Painlevé VI equation, double affine Hecke algebras, and cluster algebras.