The Search for Rainbow 3-term arithmetic progressions: An Inspirational Journey
主 讲 人 :Amanda Montejano 教授
活动时间:07月23日13时00分
地 点 :球友会D203报告厅
讲座内容:
In this talk, we discuss the existence of rainbow 3-term arithmetic progressions within 3-colorings of various ground sets, including finite intervals, cyclic groups, and general abelian groups. This foundational question -how rainbow structures emerge under specific density conditions on color classes- has inspired a wealth of insights, problems, and generalizations within Rainbow Ramsey Theory.
主讲人介绍:
Amanda Montejano is a tenured professor and researcher at the National Autonomous University of Mexico (UNAM), with a Ph.D. in Applied Mathematics from the Universitat Politècnica de Catalunya, and over 15 years of experience as a full-time researcher, working primarily in Combinatorics, Extremal Graph Theory, and Additive Number Theory. In the past five years, she has led several national research projects funded by PAPIIT and CONACYT. Currently, she coordinates the project Variants in Ramsey Theory and Extremal Theory (PAPIIT IG100822, 2022–2024). She is a member of the Mexican Academy of Sciences and holds a Level II distinction in Mexico’s National Research System. In 2010, she was awarded the Sofia Kovalevskaya Prize. Throughout her academic career, she has served as advisor for several undergraduate, master’s, and doctoral theses. Her work includes more than 30 research papers.