题目：Differential Harnack Inequalities on General Path Spaces
报告人：吴波（复旦大学）
时间：2023年8月19日（星期六），16:00-17:30
地点：明德楼B区201-1报告厅
摘要：In this talk, we will first introduce differential Harnack inequalities on general path spaces. In particular, we will derive differential Harnack inequalities on the Riemannian path spaces over a manifold(possibly with a boundary), theses inequalities extend and strengthen the recent results for manifolds without a boundary derived by Haslhofer-Kopfer-Naber[1]. As an application, by which we obtain the Li-Yau Harnack inequality in a Ricci-flat manifold with a boundary. Moreover, we will also derive the differential Harnack inequalities on the Gaussian path space with respect to the Gaussian Wiener measure.
