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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XII

来源: 发布時間:2021-04-19 作者:

時間2021年4月22日(周四)9:00-17:00

Time9:00-17:00, Thursday, April 22, 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/西湖大学理学院 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:Prof. Dongwen Liu, Zhejiang University

講座主題/Title:Auxiliary polynomials and Mahler's measure

講座摘要/Abstract:

We explain the iterative method of constructing auxiliary polynomials given by Dubickas and Mossinghoff, which can be used to obtain lower bounds in Lehmer's problem for certain polynomials, and also the problem of Schinzel and Zassenhaus. This improves the earlier results of Borwein, Dobrowolski and Mossinghoff which were obtained using auxiliary polynomials as well.

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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 abelian extensions

講座摘要/Abstract:

We have seen that the lower bound of height of an algebraic number in the Galois case depends on a corresponding bound in a relative abelian case. We show the latter deep result in this talk, following the work of Amoroso, David, Zannier and Delsinne.

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講座聯系人/Contact:

理学院 王老师? wangqiuhui@westlake.edu.cn

理学院 杨老师? yanghangli@westlake.edu.cn

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