首师大数论组讨论班

[SHUN TANG]

诸位好，本学期首都师范大学第三次数论与代数几何讨论班将于下周举行：
 
时间：2015年3月26日 周四 上午09：30--10：30 & 10：40-11：40
地点：首都师范大学北二区教学楼513教室（此校区在西三环紫竹桥南首师大北一区的街对面，走一个过街天桥即到）
 
报告人一：李岩 博士 (中国农业大学)
 
题目：Gauss sums over matrices
 
摘要： Gauss sums is first defined by Gauss, who uses it to prove the quadratic reciprocity law. Classical Gauss sums can be generalized to matrix groups over finite fields such as general linear groups and special linear groups. Using Bruhat decomposition, D. S. Kim give the explicit expressions of Gauss sums for general (resp. special) linear groups over finite fields, which involve classical Gauss sums (resp. Kloosterman sums). Recently, we give a new and much simpler proof of D.S.Kim’s results. Our proof does not involve the Bruhat decomposition. As applications, we give a new and much simpler method to count the number of invertible n*n matrices with zero-trace over finite fields. In this talk, we will talk our results.

 

报告人二：Kim Daeyeoul   教授 (National Institute for Mathematical Sciences, Korea)
 
题目：KKP question, combinatoric convolution sums and tree model of divisors functions

摘要： In this talk, first part, I will introduce KKP question, history and related problem of elliptic curve theory. Second part, we will deal with divisor functions and combinatoric convolution sums. And we also give some interesting problem of this area. Finally, using this idea, I explain a visual model of animation. That is, the procedural modeling method using convolution sums of divisor functions (MCD) was suggested a variety of natural trees in a virtual ecosystem. The basic structure of MCD define the growth grammar, including the branch propagation, a growth pattern of branches and leaves, and a process of growth deformation for various tree generation.

 

请将此信息转发给其他感兴趣的老师和学生，期待与大家相会！
 
祝好！
 
唐舜

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Shun TANG

School of Mathematical Sciences
Capital Normal University
No. 105, West 3rd Ring North Road
100048, Beijing
P. R. China