首师大数论组讨论班（2015-12-9）
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SHUN TANG
Dec 6, 2015, 9:12:51 PM12/6/15
to Celtic Zhang, cnuarith, Derong Qiu, dshwei, gnge, Hui Gao, jiangxue fang, Jinpeng An, kinglaihonkon, kzli, Peng Sun, Ruochuan Liu, Weizhe Zheng, wuke, xufei, yichaot, Yonghui Wang, Zhibin Liang, 孙晟昊, 李克正, 许晨阳, bbyingjin, 张翀, 梁庭嘉, Yongquan Hu, matht...@outlook.com, sy...@math.tsinghua.edu.cn, zhang...@gmail.com
诸位好，本学期首都师范大学第六次数论与代数几何讨论班将于本周举行：
时间：2015年12月9日 周三 上午 10：30--11：30 & 下午 14：00--15：00
地点：首都师范大学北二区教学楼514教室（此校区位于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：万大庆 教授
（University of California, Irvine, USA）
题目一：Rational roots of sparse polynomials
摘要：For a sparse polynomial f(x) of high degree and few terms over a non-algebraically closed field F, the number of F-rational roots is often very small. In the case F is the real numbers, this is the famous Descartes's rule. In the case that F is a finite field, the situation is much more complicated. In this lecture, we discuss some recent results and conjectures in this direction, both theoretical and numerical. This lecture is accessible to advanced undergraduate students in mathematics.
题目二：Zeta functions of Z_p-towers of curves
摘要：We explore possible stable properties of the sequence of zeta functions associated to a geometric Z_p-tower of curves over a finite field of characteristic p, in the spirit of Iwasawa theory. Several fundamental questions and conjectures will be discussed, and some supporting examples will be given. This introductory talk is accessible to graduate students in number theory and arithmetic geometry.
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
--
时间：2015年12月9日 周三 上午 10：30--11：30 & 下午 14：00--15：00
地点：首都师范大学北二区教学楼514教室（此校区位于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：万大庆 教授
（University of California, Irvine, USA）
题目一：Rational roots of sparse polynomials
摘要：For a sparse polynomial f(x) of high degree and few terms over a non-algebraically closed field F, the number of F-rational roots is often very small. In the case F is the real numbers, this is the famous Descartes's rule. In the case that F is a finite field, the situation is much more complicated. In this lecture, we discuss some recent results and conjectures in this direction, both theoretical and numerical. This lecture is accessible to advanced undergraduate students in mathematics.
题目二：Zeta functions of Z_p-towers of curves
摘要：We explore possible stable properties of the sequence of zeta functions associated to a geometric Z_p-tower of curves over a finite field of characteristic p, in the spirit of Iwasawa theory. Several fundamental questions and conjectures will be discussed, and some supporting examples will be given. This introductory talk is accessible to graduate students in number theory and arithmetic geometry.
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
--
Shun TANG
School of Mathematical Sciences
Capital Normal University
No. 105, West 3rd Ring North Road
100048, Beijing
P. R. China
School of Mathematical Sciences
Capital Normal University
No. 105, West 3rd Ring North Road
100048, Beijing
P. R. China
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