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报告题目：Valuations on Orlicz spaces
报 告 人：曾春娜，重庆师范大学
报告摘要： Since Dehn's groundbreaking solution to Hilbert's Third Problem in 1901, the theory of valuations on convex bodies has played an important role in geometry. Among the most celebrated achievements is Hadwiger's classification theorem, which has provided elegant and simplified proofs for numerous remarkable results in integral geometry. In the last few years, there has been a surge of interest in vector-valued valuations, matrix-valued valuations, and valuations on function spaces. In this talk, we focus on vector-valued and matrix-valued valuations and present the classifications of all continuous, SL(n) covariant valuations on Orlicz spaces. This is based on an ongoing joint with Yu Lan.
报告人简介：曾春娜，重庆师范大学教授，重庆英才青年拔尖人才。2012年毕业于西南大学获理学博士学位，于2016.3-2017.3访问奥地利维也纳技术大学。主要研究方向为凸几何分析与积分几何，在赋值理论等研究领域中做出了出色的研究成果。部分成果发表在Trans. Amer. Math. Soc.、Science in China、Adv. Appl. Math.等数学专业期刊上。
报告时间：2025年9月18日15:30
报告地点：腾讯会议ID：599-152-151
主办单位：数学与统计学院
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