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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Ⅺ

来源: 发布時間:2021-04-12 作者:

時間2021年4月16日(周五) 9:00-17:00

Time9:00-17:00, Friday, April 16, 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:Lehmer's problem

講座摘要/Abstract:

In this talk, we will present two classical results on lower bounds of Mahler measure of integral polynomials: one is Smyth's theorem for non-reciprocal polynomials and the other is Dobrowolski's general bound for any non-cyclotomic integral polynomial.

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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 on Galois extensions

講座摘要/Abstract:

Following the work of Amoroso, David and Masser, we show a lower bound for the height of an algebraic number in a Galois extension of Q.

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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