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活动名称 ：Heat Flow and Sobolev Spaces on Asymmetric Metric Measure Spaces

时间 ：2026年04月20日 15:00

地点 ：汇贤楼数学科学学院311会议室

主讲人 ：赵唯

邀请人：程新跃

主办单位 ：数学科学学院

主讲人简介 ：赵唯，华东理工大学数学学院教授，主要研究领域为Riemann-Finsler几何和度量几何，相关研究工作发表在Journal de Mathématiques Pures et Appliquées, Mathematische Annalen, Transactions of the American Mathematical Society, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Mathematische Zeitshrift等国际知名期刊上。

活动简介 ：We investigate the theory of heat flow and Sobolev spaces in the asymmetric setting, extending the work of Ambrosio-Gigli-Savaré to asymmetric distances. More specifically, we introduce upper gradients, the corresponding Lq-energy functionals and the q-Laplacian in the asymmetric framework. We then study the q-heat flow as the L2-gradient flow of the Lq-energy. We also investigate Sobolev spaces on asymmetric metric measure spaces. A wide class of such spaces is provided by irreversible Finsler manifolds, which serve to illustrate genuine differences between the symmetric and asymmetric settings. This report is based on joint work with Alexandru Kristály and Shin-Ichi Ohta.