報 告 人:李瞳 助理研究員
報告題目:Two extremal problems in uniform hypergraphs
報告時間:2025年5月22日(周四)下午14:30
報告地點:騰訊會議772-603-575
主辦單位:數(shù)學(xué)與統(tǒng)計學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報告人簡介:
李瞳,中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院助理研究員。博士畢業(yè)于山東大學(xué),后入職中國科學(xué)院數(shù)學(xué)與交叉科學(xué)中心從事博士后研究工作,主要研究方向為極值組合、染色標(biāo)號和隨機圖過程,在JGT、EJC、JOCO等期刊發(fā)表多篇論文,主持國家基金委青年項目一項,參與國家基金委重點項目和科技部重點研發(fā)計劃各一項。
報告摘要:
In this talk, I will report some recent progress on two extremal problems in uniform hypergraphs. In the first part, we consider the rainbow Turán problem raised by Keevash, Mubayi, Sudakov and Verstra?te in 2007 and study the rainbow Turánnumber for hypergraph matchings and paths. In the second part, we consider the anti-Ramsey problem raised by Erd?s, Simonovits and Sós in 1975 and determine the anti-Ramsey number for some classical hypergraphs such as paths and cycles.These results are based on joint work with Hao Huang, Yucong Tang, Guanghui Wang, Guiying Yan and Wenling Zhou.