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报告时间:2024年11月9日(星期六)下午3:00
报告地点:理工楼404
报告题目:On Galois-like theory of cluster algebras and some examples from surfaces
报告人: 李方 教授
报告摘要:One of the key-points in Galois theory via field extensions is to build up a correspondence between subfields of a field and subgroups of its automorphism group, so as to study fields via methods of groups. As an analogue of the Galois theory,we study the relations between cluster subalgebras of a cluster algebra and subgroups of its automorphism group and then to set up the Galois-like method. As examples, we characterize the cluster automorphism group of cluster algebras from feasible surfaces. For the kind of cluster algebras, as the answers of two conjectures given in the first part, we prove the rank invariants of maximal cluster subalgebras under action of subgroups of the cluster automorphism group of such a cluster algebra and moreover construct the descending series of cluster subalgebras via an ascending series of subgroups. This work is joint with Jinlei Dong.
报告人简介:
李方,浙江大学教授,博士生导师,现为浙江大学高等数学研究所所长、代数基层教学组织责任教授、中国数学会理事、中国高等教育学会第四届教育数学专业委员会常务副理事长,是浙江大学《高等代数》和研究生核心课程《现代数学概论》等建设项目负责人,主要研究代数和表示论领域的多个方面,现已在国内外重要学术刊物上发表论文140余篇;在丛代数、Hopf代数和量子群、代数表示论和代数的拓扑方法上都取得了代表性成果;已先后主持多项国家自然科学基金和浙江省自然科学基金等项目;荣获浙江省高校科技进步一等奖等奖项,是国家教育部新世纪人才和浙江省151人才入选者。
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2024年11月8日