【系综合学术报告】&【荷思系友报告】第19期

报告题目：Bridging Optimal Control and Machine Learning

时间：2025年12月23日（周二） 上午9:30-10:30

地点：线上报告#腾讯会议：448-994-292

报告人：周默（University of California, Los Angeles，assistant adjunct professor ）

摘要：This talk examines the intersection of machine learning and optimal control through the development of scalable algorithms with rigorous theoretical guarantees. The first part presents learning-based frameworks for stochastic optimal control, with an emphasis on actor–critic methods that connect reinforcement learning and continuous-time control, together with their extensions to multi-agent mean-field games. The second part illustrates how control-theoretic principles can advance modern machine learning by viewing generative models as controlled probability flows, leading an efficient and structure-preserving formulation, score-based neural ODEs and normalizing flows. Together, these results outline a unified framework in which machine learning and control mutually reinforce one another, offering new computational tools and analytical insights for scientific computing.

报告人简介：Mo Zhou is an Assistant Adjunct Professor in the Department of Mathematics at UCLA, working under the mentorship of Prof. Stanley Osher. He received his Ph.D. in Mathematics from Duke University in 2023, advised by Prof. Jianfeng Lu, and earned his bachelor’s degree in Mathematics from Tsinghua University in 2018. His research focuses on the interaction between optimal control and machine learning.

【系综合学术报告】第46期

报告题目：Structural results of microlocal sheaves in symplectic geometry

时间：2025年12月23日（周二） 上午10:30-11:30

地点：一教102

报告人：李文远 （University of Southern California，Research assistant professor (RTPC) ）

摘要：Microlocal theory of sheaves have become an important tool in the studies of symplectic and contact geometry. Nadler and Zaslow related the Fukaya category of the cotangent bundles with constructible sheaves of the manifold, and Ganatra, Pardon and Shende related the Fukaya category of more general exact symplectic manifolds with microlocal sheaves on the Lagrangian skeleta. We will explain some structural results on microlocal sheaves, including the Kunneth formula, the Fourier-Mukai isomorphism, and the Poincare-Lefschetz duality exact sequence, which in particular includes a description of the inverse Serre bimodule. We will also explain how to apply the theory to the studies of Lagrangian correspondences, and to the studies of Legendrians and Lagrangian cobordisms between them. Part of the talk is based on joint works with Chris Kuo and with David Nadler and Vivek Shende.

报告人简介：Wenyuan Li is a (postdoctoral) assistant professor at the University of Southern California. He got his PhD in Mathematics at Northwestern University in 2023 under the supervision of Professor Eric Zaslow and Professor Emmy Murphy. He is mainly interested in symplectic and contact topology using homological and categorical invariants, and their connections to mirror symmetry, non-commutative geometry, cluster algebras and persistence modules.