黄炳荣

个人信息Personal Information

教授 博士生导师 硕士生导师

性别:男

毕业院校:山东大学

学历:研究生(博士)毕业

学位:理学博士学位

在职信息:在职

所在单位:数据科学研究院

入职时间:2019-08-30

学科:基础数学

办公地点:明德楼C701

联系方式:(0531) 883 69786


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模形式基础 2025

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Modular Forms

Spring 2025, Jinan

Time and Place: 

Thursday 09:00-12:00,  逸夫信息楼 A403.

Instructors: 

Bingrong Huang, Guanghua Ji, Yongxiao Lin, Guangshi Lü, and Zhao Xu

Prerequisites:

Basic Analytic Number Theory and Complex Analysis.

Syllabus:

We plan to give lectures on modular forms in this semester. We will use the following book:

[I] Iwaniec, Henryk. Topics in classical automorphic forms. Graduate Studies in Mathematics, 17. American Mathematical Society, Providence, RI, 1997. xii+259 pp.


See also: 

[Serre] Serre, J.-P. A course in arithmetic. Translated from the French. Graduate Texts in Mathematics, No. 7. Springer-Verlag, New York-Heidelberg, 1973. viii+115 pp.

[Bump] Bump, Daniel. Automorphic forms and representations. Cambridge Studies in Advanced Mathematics, 55. Cambridge University Press, Cambridge, 1997. xiv+574 pp. 第一章

[Sarnak] Sarnak, Peter. Some applications of modular forms. Cambridge Tracts in Mathematics, 99. Cambridge University Press, Cambridge, 1990. x+111 pp.


Schedule:

Date Speaker Title References
February 20 H Modular forms [I] Chapter 1
February 27 H Eisenstein series [I] Chapter 1
March 06 H Fuchsian groups [I] Chapter 2
March 13 H Classical automorphic forms [I] Chapter 2
March 20 Lin Eisenstein & Poincare series [I] Chapter 3
March 27 Lin Kloosterman sums [I] Chapter 4
April 03 Lin Fourier coefficients [I] Chapter 5
April 10 Lü Hecke operators [I] Chapter 6
April 17 Lü Hecke operators [I] Chapter 6
April 24 Lü L-functions [I] Chapter 7
May 01 No Lecture (Labor Day)
May 08 Xu
[I] Chapter 8
May 15 Xu
[I] Chapter 9
May 22 Xu
[I] Chapter 10
May 29 Ji
[I] Chapter 11
June 05 Ji
[I] Chapter 12
June 12 Ji
[I] Chapter 13
June 19




Contact: 

Bingrong Huang (Email: brhuang (AT) sdu.edu.cn; Office: Mingde Building C701)