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理學院專題學術講座∣西湖大學—浙江大學數論與表示論聯合討論班XIII

来源: 发布時間:2021-04-23 作者:

時間2021年4月30日(周五) 9:00-17:00

Time9:00-17:00, Friday, April 30, 2021

地點:西湖大學雲棲校區4號樓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/赵以庚 博士

Host: Dr. Yongqiang Zhao, School of Science, Westlake University

????? Dr. Yigeng Zhao, School of Science, Westlake University

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1.?? 時間/Time:9:00-12:00

主講嘉賓/Speaker:Dr. Yongqiang Zhao, Westlake University

講座主題/Title:Introduction to Dimitrov's recent resolution of the Schinzel-Zassenhaus conjecture

講座摘要/Abstract:

We will present Dimitrov's recent elegant proof of the Schinzel-Zassenhaus conjecture, which asserts that a non-cyclotomic integer polynomial always has a root of "big" modulus. One of the key ingredients in his proof is the using of a classical theorem of Polya on transfinite diameter. We will give a brief introduction to this theory.

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2.?? 時間/Time:14:00-17:00

主講嘉賓/Speaker:Dr. Yigeng Zhao, Westlake University

講座主題/Title: Lehmer's problem in the higher dimension

講座摘要/Abstract:

As a continuation of our talk, we show a weak result of Delsinne on Lehmer's problem in the higher dimension. This transcendental method has three steps: interpolation, extrapolation, and zero estimation.


講座聯系人/Contact:

理学院 王老师? wangqiuhui@westlake.edu.cn

School of Science, Qiuhui Wang, wangqiuhui@westlake.edu.cn

理学院 杨老师? yanghangli@westlake.edu.cn

School of Science, Hangli Yang, yanghangli@westlake.edu.cn