报告时间：2026年11月10日 19:30开始

报 告 人：舒希超（Leipzig University）

报告地点：腾讯会议：432-878-352

报告题目：Tight Hamilton Cycles in Linearly Quasirandom 3-Graphs

报告摘要：We study tight Hamilton cycles in linearly quasirandom 3-uniform hypergraphs. Ara\'ujo, Piga and Schacht asked whether density $p>1/4$, together with minimum codegree greater than $n/4$, is sufficient to force a tight Hamilton cycle. We give a negative answer to this question and, more generally, determine the asymptotically sharp minimum-codegree threshold for every density $p\in(0,1)$. The resulting threshold is a discontinuous piecewise-defined function with four distinct regimes, and matching constructions show that each part is best possible. The proof combines the absorption method with connecting arguments and a canonical-component Hamilton framework.

报告人简介：舒希超，德国莱比锡大学（Leipzig University）博士研究生，导师为 Daniel Král'教授。他硕士毕业于山东大学，师从王光辉教授，随后进入马萨里克大学（Masaryk University）攻读博士学位，并于2025年转至莱比锡大学继续深造。他的研究方向主要包括极值组合学、图极限和几何极值问题，研究成果发表于 JCTB、SODA、SIDMA 等国际知名期刊和会议。