Workshop on Markov processes and its geometric aspects

研究集会「Workshop on Markov processes and its geometric aspects」を下記の要領で開催いたします.

日程および会場

アクセス

福岡大学へは地下鉄七隈線の七隈駅からの下車と福大前駅からの下車の2通りのアクセス方法があります. 福大前駅は福大の正門には近いですが, 理学部への距離は七隈駅からの方が若干近いです.

プログラム

3月8日(水)

13:00〜13:40 桑田和正氏 (東京工業大学)
Some remarks on the $\mathcal{W}$-entropy on $\mathsf{RCD}(0,N)$ spaces
13:50〜14:30 河備浩司氏 (岡山大学)
Riemannian Wasserstein geometry on the space of Gaussian measures over the Wiener space
14:40〜15:20 桑江一洋氏 (福岡大学)
Irreducible decomposition for Markov processes
15:30〜16:10 竹田雅好氏 (東北大学)
Symmetric Markov processes with tightness property
16:20〜17:00 Xiangdong Li 氏 (CAS AMSS)
Harnack inequalities and logarithmic derivative of heat kernel for Witten Laplacian on Riemannian manifolds

Abstract:
In this talk I will first present the Li-Yau Harnack inequality and Hamilton's Harnack inequality for the heat equation associated with the Witten Laplacian on complete Riemannian manifolds, and then extend these results to manifolds equipped with super Ricci flows. I will also prove the logarithmic derivative estimates for the heat kernel of the Witten Laplacian on complete Riemannian manifolds with suitable curvature-dimension condition.


世話人: 桑江一洋(福岡大)