丘成桐中心几何与方程组周末讨论班
SEU Yau Center Geometry and PDE Weekend Seminar
为活跃中心学术氛围，促进成员间的学术交流并激发合作，丘成桐中心几何与方程组从2022年9月末开始定期组织周末讨论班。周末研讨班面向几何与方程组和全体中心成员、数学学院研究生及感兴趣的校内外师生。
2022年12月10日，几何与方程组第八次周末讨论班将由美国克莱姆森大学陈东卫主讲，报告信息如下。
Title: A land of c-monotonicity in optimal transport
Speaker: Dongwei Chen（陈东卫）
Affiliation：Clemson University（美国克莱姆森大学）
Time: 10:00-11:00, December 10th (Sat.), 2022 (GMT+8)
Venue: 腾讯会议/VooV Meeting (ID: 667-945-737)
入会链接：https://meeting.tencent.com/dm/ETNX1eegCjty
Abstract:
This talk will focus on the c-cyclically monotone principle of optimal transport (OT) and its generalizations in coinstrained OT. In the beginning, we will give a brief introduction to optimal transport and c-cyclically monotonicity that characterizes the optimal transport coupling. Then we will talk about two extensions of c-cyclically monotonicity, which are partly inspired by martingale optimal transport. The last part will talk about optimal transport with capacity constraints. We give the c-monotone notion for capacity OT, which is also a generalization of c-cyclically monotone. We show that the optimizer of capacity OT is c-monotone. This is a joint work with Martin Schmoll.
Speaker:
Dongwei Chen is a fourth-year PhD student in Clemson University under the supervision of Martin Schmoll. His research interest is optimal transport and its applications in climate science.