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理学院专题学术讲座∣Mahler Measure of Landau-Ginzburg Potentials
时间
2021年4月13日(周二)
14:00-17:00
地点
西湖大学云栖校区4号楼409-411教室
主持
西湖大学理学院 赵永强 博士
受众
教职工
分类
学术与研究
理学院专题学术讲座∣Mahler Measure of Landau-Ginzburg Potentials
时间:2021年4月13日(周二) 14:00-17:00
Time:14:00-17:00, Tuesday, April 13, 2021
地点:西湖大学云栖校区4号楼409-411教室
Venue: Room 409-411, Building 4, Yunqi Campus, Westlake University
主持人:西湖大学理学院 赵永强 博士
Host: Dr. Yongqiang Zhao, School of Science, Westlake University
主讲嘉宾/Speaker:Prof. Jiarui Fei, Shanghai Jiao Tong University
讲座主题/Title:Mahler Measure of Landau-Ginzburg Potentials
讲座摘要/Abstract:
The (logarithmic) Mahler measures of an $n$-variable polynomial $p$ is defined as the arithmetic mean of $log |p|$ over the $n$-torus.
In this talk, we will survey some interesting results and conjectures (mostly due to Deninger, Boyd, Villegas, and Bertin).
We will explain its connection to mirror symmetry of Fano and Calabi-Yau varieties, and $L$-values of modular forms.
Many concrete examples on Elliptic curves and $K3$-surfaces will be given.
讲座联系人/Contact:
理学院 王老师 wangqiuhui@westlake.edu.cn
School of Science, Qiuhui Wang, wangqiuhui@westlake.edu.cn