报告题目：Problems From Combinatorial Factorization Theory

报告嘉宾：钟庆海 研究员 格拉茨大学

报告时间：2023年7月24日、7月26日、7月28日、7月31日、8月2日 15:30

腾讯会议ID：478 6730 1910 会议密码：2023

报告摘要： Combinatorial Factorization Theory studies rings and semigroups that allow transfer homomorphisms to monoids of zero-sum sequences with terms from an abelian group. They are called transfer Krull and include Krull monoids, but their class is substantially larger. The focus of those talks are on transfer Krull monoids having a transfer homomorphism onto a finite abelian group. This setting includes classic objects in rings and Number Theory, such as holomorphy rings in global fields. We will talk about their length sets and other arithmetic invariants controlling their structure, such as the elasticities and sets of distances, with methods from Additive Combinatorics.

报告嘉宾简介：钟庆海，现为奥地利格拉茨大学研究员，山东理工大学兼职特聘研究员。2013年于南开大学组合数学中心获得博士学位，研究方向为零和理论和非惟一分解理论。目前在Israel Journal of Mathematics, Canadian Journal of Mathematics, Journal of Combinatorial Theory A，Journal of Algebra, Journal of Number Theory等杂志发表三十多篇论文。主持完成奥地利科学基金委和国家自然科学基金委项目各一项。