Convex Analysis in Groups and Semigroups and Optimization

报告题目：Convex Analysis in Groups and Semigroups and Optimization

报告地点：西南交通大学犀浦校区7教7510

报告时间：2023年10月20日下午14：20-15:10

摘要：In this talk, I will investigate some fundamental properties of convex sets, convex cones, and convex functions in groups and semigroups. In particular, I will introduce the concept of quasi core of a convex set, which allows us to provide separation theorems between convex sets in groups where at least one of them has nonempty quasi core. I also analyze optimization problems defined on groups and semigroups and provide saddle point necessary or sufficient optimality conditions by considering suitable Lagrangian functions associated with the given problem. This is my joint work with Dr. Giandomenico Mastroeni.

个人简介：李军，理学博士，教授，硕士研究生导师，第十一批四川省学术和技术带头人，享受国务院政府特殊津贴专家，第四届四川省专家评议（审）委员会组成员。主要从事最优化理论及应用、非线性分析及应用等领域的科研工作，在SIAM J. Optim.、European J. Oper. Res.、J. Convex Anal.、J. Optim. Theory Appl.、J. Global Optim.、Optim.、 Sci. China Math.等数学优化领域国际、国内主流期刊上发表SCI收录论文40余篇，主持国家自然科学基金3项、省部级项目2项，以第 一完成人获四川省科技进步奖自然科学类三等奖1项，在科学出版社出版教材《运筹学简明教程》1 部。