彩8彩票|官网登录

當前位置: 彩8彩票|官网登录 / English / Academics / 正文

Manin's Conjecture for a Class of Singular Hypersurfaces

作者:   時間:2019-06-13   點擊數:

Title:Manin's Conjecture for a Class of Singular Hypersurfaces

Keynote Speaker:Wu Jie

Abstract: Let $n$ be a positive multiple of $4$ or $n=2$. In this talk, we shall show how to establish an asymptotic formula for the number of rational points of bounded height on singular cubic hypersurfaces $S_n$ defined by $$x^3=(y_1^2 + \cdots + y_n^2)z, $$ by analytic method.

This result is new in two aspects: first, it can be viewed as a modest start on the study of density of rational points on those singular cubic hypersurfaces which are not covered by the classical theorems of Davenport or Heath-Brown; second, it proves Manin's conjecture for singular cubic hypersurfaces $S_n$ defined above.

(Joint works with Regis de la Breteche, Kevin Destagnol, Jianya Liu, Yongqing Zhao)

Speaker Introduction:Wu Jie is a first-grade researcher at the Centre National de la Recherche Scientifique (CNRS) and doctoral supervisor at the Université Paris-Est (Universite Paris XII Val de Marne). In 1990, he received his doctoral degree from the University of Paris XI, worked at CNRS and mainly studied the analytic number theory. In 2011, he was introduced as a high-level overseas innovative talent in Shandong Province and won the title of "Taishan Scholar Overseas Specially-invited Expert". Professor Wu Jie mainly studies the distribution of prime numbers, exponential sum, modular form, and L-function. So far, he has published more than 80 papers in international mathematical publications.

Inviter:Lyu Guangshi, professor in School of Mathematics

Time:10:10-11:10 on June 14 (Friday)

Location:Hall 1032, Block B, Zhixin Building, Central Campus


Hosted by: School of Mathematics, Shandong University

地址:中國山東省濟南市山大南路27號   郵編:250100  

電話:0531-88364652   投稿信箱:mathweb@sdu.edu.cn

Copyright@山東大學數學學院

微信公眾號
<acronym id="igsm0"></acronym>
<rt id="igsm0"></rt>
<tr id="igsm0"><code id="igsm0"></code></tr>
<rt id="igsm0"><xmp id="igsm0"><rt id="igsm0"></rt>
<option id="igsm0"><xmp id="igsm0">
<tr id="igsm0"><xmp id="igsm0">
<tr id="igsm0"><optgroup id="igsm0"></optgroup></tr><tr id="igsm0"><optgroup id="igsm0"></optgroup></tr>
<rt id="igsm0"></rt>
<option id="igsm0"><xmp id="igsm0">
<tr id="igsm0"><xmp id="igsm0">
<tr id="igsm0"><xmp id="igsm0">
彩8彩票|官网登录 澳发彩票|手机app下载 四川快乐12开奖结果 天王彩票|官网登录 广东36选7走势图 重庆快乐十分开奖结果 云南快乐十分开奖结果 山西21选5开奖结果 华东15选5走势图 河北福彩排列5开奖结果 青海快3基本走势图 河南福彩20选5开奖走势图 炫乐彩票|手机app下载 豪彩vip|手机app下载 baijiale|官网登录 河北福彩排列5开奖结果