北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
行政团队
学术研究
研究团队
公开课
讨论班
招生招聘
教研人员
博士后
学生
会议
学术会议
工作坊
论坛
学院生活
住宿
交通
配套设施
周边旅游
新闻
新闻动态
通知公告
资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
BIMSA > BIMSA-Tsinghua量子对称讨论班 Fixed-point-free fusion automorphisms
Fixed-point-free fusion automorphisms
组织者
黄林哲 , 刘正伟 , Sébastien Palcoux , 王亦龙 , 吴劲松
演讲者
Andrew Schopieray
时间
2023年06月14日 10:30 至 12:00
地点
A3-3-301
线上
Zoom 559 700 6085 (BIMSA)
摘要
Understanding the symmetries of algebraic objects can help decrease their complexity by several fold, and this reduction in complexity is intensified when there are fewer and fewer fixed-points.  Typically one requires the unit or neutral element to be fixed by any symmetry, so a symmetry for which this is the only fixed-point has been called "fixed-point-free".  These are the most active of symmetries and have strong implications for the objects they act upon.  For example, a finite group with a fixed-point-free automorphism must be solvable; if the automorphism is order 2 then the group is abelian and the symmetry is inversion.   In this talk, we will attempt to generalize classical results on fixed-point-free automorphisms of finite groups to fusion rings and categories.  Of particular interest is understanding when/if combinatorial symmetries of fusion rings can be lifted to categorical symmetries of fusion categories.  This talk will be self-contained, aimed toward a general audience, and will include copious amounts of examples.
演讲者介绍
I grew up in a rural area in northern Michigan and did not consider mathematics as a career until I was in my 20's; I cooked professionally for about 10 years.  I've since earned degrees in the states of Michigan, Oregon, and Washington, and done postdoctoral research in Australia, Canada, and the United States.  My research will probably stay related to tensor categories and their many applications, but I will always think about whatever problems seem interesting to me in the moment.  I am a year-round alpine climber, and an avid wildlife photographer.
北京雁栖湖应用数学研究院
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

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Email. administration@bimsa.cn

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