首师大数论组讨论班(2015-06-04)

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SHUN TANG

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May 28, 2015, 1:51:00 AM5/28/15
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, 李岩, 张翀, 梁庭嘉, tzh...@ualberta.ca, Yongquan Hu, ych...@math.tsinghua.edu.cn
诸位好,本学期首都师范大学第九次数论与代数几何讨论班将于下周举行:

时间:2015年6月4日 周四 上午10:30--11:30
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:刘杭 博士 (中国科学院大学)

题目:On K_2 of certain families of curves

摘要:We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g, together with g elements in the kernel of the tame symbol. We show that those elements are in general independent by a limit calculation of the regulator. Working over a number field, we show that in some of those families the elements are integral. We determine when those curves are hyperelliptic, finding, in particular, that over any number field we have nonhyperelliptic curves of all composite genera g with g independent integral elements in the kernel of the tame symbol. We also give families of elliptic curves over real quadratic fields with two independent integral elements.


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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
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