数论与代数几何光棍节特别会晤
1111 Special Meeting for Number Theory and Algebraic Geometry
2023年11月11日 中国科学技术大学
报告人：张磊 胡勇 张磊 胡勇 张磊 Journée Arithmétique de l'USTC 2023
清明数论会议2023
Centre Sino-Francais de Mathématiques, Université de Sciences et Technologie de Chine
5 avril 2023
Organisateurs: Yang Cao et Yongqi Liang Number Theory meets Algebraic Geometry 当数论遇见代数几何——数论与代数几何 第一届全国博士生论坛
中国科学技术大学 2021年4月18-24日 合肥
本地组织者： 曹阳 、 梁永祺 、 刘永强 、 张磊
学术顾问：陈猛（复旦大学）、付保华（中科院数学所）、扶磊（清华大学）、徐飞（首都师范大学） 南方科技大学青年数学家学术论坛 SUSTech Young Mathematicians Academic Forum - On the occasion of the 10th anniversary of Séminaire Mathjeunes (23-28 July 2018, Shenzhen China) local-global principle, weak/strong approximation, Brauer-Manin obstruction, cohomological obstructions, rational points, integral points, zero-cycles

16 - Guang Hu, Yongqi Liang . Arithmetic of Châtelet surface bundles revisited. Forum Mathematicum, Volume 35 no. 4 (2023), pp. 883-900. Online . ( arXiv version )

Yongqi Liang . Compatibility of weak approximation for zero-cycles on products of varieties. Science China Mathematics, Volume 66 (2023) Issue 4, pp. 665-678. Online . ( arXiv version ) Yongqi Liang . Noninvariance of  weak approximation properties under extension of the ground field. Michigan Mathematical Journal, Volume 73 (2023) Issue 4, pp. 675-692. Online . ( arXiv version ) Yang Cao, Yongqi Liang . Etale Brauer-Manin obstruction for Weil restrictions. Advances in Mathematics, Volume 410 part A (2022), Article No.108718. Online. ( arXiv version ) Yongqi Liang . Approximation forte sur un produit de variétés abéliennes épointé en des points de torsion. Proceedings of the American Mathematical Society, 148 (2020), pp. 4635-4642. Online . ( arXiv version )

11 - Yang Cao , Yongqi Liang , Fei Xu . Arithmetic purity of strong approximation for homogeneous spaces. Journal de Mathématiques Pures et Appliquées, Volume 132(2019), pp. 334-368. Online . ( arXiv version )

Yongqi Liang . Approximation faible pour les 0-cycles sur un produit de variétés rationnellement connexes . Mathematical Proceedings of the Cambridge Philosophical Society, Volume 164, Issue 3 (2018), pp. 485-491. On line . ( arXiv version ) Yongqi Liang . Progress concerning the local-global principle for zero-cycles on algebraic varieties. Rocky Mountain Journal of Mathematics, Volume 46, no. 4 (2016), pp. 1293-1308. Online. [This is a survey, nothing is new.] Yongqi Liang . Local-global principle for 0-cycles on fibrations over rationally connected bases . Advances in Mathematics, Volume 297 (2016), pp. 214-237. On line . ( arXiv version ) Yongqi Liang . The local-global exact sequence for Chow groups of zero-cycles . Mathematical Research Letters, Volume 22, no. 1(2015), pp. 169-182. On line . ( arXiv version ) Yongqi Liang . Towards the Brauer-Manin obstruction on varieties fibred over the projective line . Journal of Algebra, Volume 413 (2014), pp. 50-71. O nline . ( arXiv version )

05 - Yang Cao , Yongqi Liang . Local-global principle for certain biquadratic normic bundles . Acta Arithmetica 164 (2014), pp. 137-144. On line . ( arXiv version with more de tails )

Yongqi Liang . Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif . Bulletin de la Société Mathématique de France 142, fascicule 2 (2014), pp. 269-301. On line . ( arXi v version ) Yongqi Liang . Arithmetic of 0-cycles on varieties defined over number fields . Annales Scientifiques de l' École Normale Supérieure 46, fascicule 1 (2013), pp. 35-56 . O nline . ( arXiv version ) Yongqi Liang . Astuce de Salberger et zéro-cycles sur certaines fibrations . International Mathematics Research Notices, Volume 2013, no. 3 (2013) , pp. 665-692. Online. ( arXiv version ) Corrigendum Yongqi Liang . Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus d'une courbe : I . Mathematische Annalen , Volume 353, Issue 4 (2012), pp. 1377-1398 . Online . ( arXiv version ) Yongqi Liang , Yufan Liu. Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle. ( arXiv version )

Diego Izquierdo, Yongqi Liang , Hui Zhang. Product of Brauer-Manin obstruction for 0-cycles over number fields and function fields . ( arXiv version )

Kai Huang, Yongqi Liang . Hasse principle violation for algebraic families of del Pezzo surfaces of degree 4 and hyperelliptic curves of genus congruent to 1 modulo 4 . ( arXiv version )

Descent theory for quasi-coherent sheaves - talk served as the exam of the master course Algebraic Geometry at Padova University, Italy (03/2008) Hilbert-Serre theorem on regular noetherian local rings - talk served as the exam of the master course Commutative Algebra at Padova University, Italy (01/2007) Prime decompositions in Dedekind domains - talk in a student seminar organised by Ye TIAN in Beijing, China (06/2006) Quaternion algebra and Shimura curves - talk in a student seminar organised by E. Ullmo at Tsinghua University, Beijing, China (10/2005) 数论中的局部与整体 [兰州大学(2019/10/18)，浙江大学(2019/11/30)，山东大学(2019/12/07)，南方科技大学(2021/03/19)，武汉大学(2023/03/10)，中国石油大学（北京）克拉玛依分校(2024/10/16)，曲阜师范大学(2024/11/22)， 新疆喀什大学(2025/04/30)] 从圆锥曲线上的有理点谈起  [中山市华侨中学(2023/01/19)，佛山市顺德第一中学(2023/02/10)，佛山市国华纪念中学(2023/02/11)，汕头市潮阳实验学校(2023/02/24)，汕头市骏荣学校(2023/02/26)，汕头市潮南阳光实验学校(2023/02/27)，深圳宝安中学(2023/03/23)，深圳实验中学(2023/03/26)，东莞市众美中学(2023/05/07)，中山市第一中学(2024/03/29)，哈密市第二中学(2024/05/07)，乌鲁木齐 第101中学(2024/05/08)，新疆克拉玛依市独山子第二中学(2024/05/09)，乌苏市第一中学(2024/05/10)， 长春市东北师范大学附中(2024/05/24)，厦门双十中学(2024/09/26)，乌鲁木齐市第七十中学(2024/10/14)， 克拉玛依第一中学(2024/10/16)，石河子第一中学(2024/10/18)，中山市第一中学(2024/12/06)，喀什二中(2025/05/06)]

Hasse principle and Weil restriction, Geometry Algebra and Mathematical Physics, New Uzbekistan University, Tashkent(2025/05/26)

Hasse principle for hyperelliptic curves and degree 4 del Pezzo surfaces in family，天元东南学术报告，厦门大学，厦门(2024/09/27)

Hasse principle for hyperelliptic curves and degree 4 del Pezzo surfaces in family, Representation Theory and Number Theory Seminar,  National University of Singapore, Singapore(2024/01/18)

奇亏格超椭圆曲线的局部整体原则，2023同济大学算术与代数几何会议，同济大学，上海(2023/12/09) 奇亏格超椭圆曲线的局部整体原则，中山大学（珠海校区），珠海(2023/09/24) Hasse principle for odd genus hyperelliptic curves，首都师范大学，北京(2023/09/23) 奇亏格超椭圆曲线的局部整体原则，晨兴数学中心，北京(2023/09/20) 奇亏格超椭圆曲线的局部整体原则，2023金陵数论与算术几何会议，南京大学，南京(2023/06/15) 奇亏格超椭圆曲线的局部整体原则，合肥工业大学，合肥(2023/04/21) 奇亏格超椭圆曲线的局部整体原则，2023武大数论及其应用研讨会，武汉大学，武汉(2023/04/14)

奇亏格超椭圆曲线的局部整体原则，湖南大学，在线(2022/12)

奇亏格超椭圆曲线的局部整体原则，湖北大学，武汉(2022/10)

乘积空间零维周群的算术，西湖大学，杭州(2022/07)

某些Chatelet曲面丛的算术研究，漳州丢番图方程研讨会，漳州，福建(2021/11)

某些Chatelet曲面丛的算术研究，代数几何日，合肥(2021/07)

某些Chatelet曲面丛的算术研究 ，金坛数论学术会议（第八届全国数论会议），江苏常州华罗庚中学，常州(2021/06) 弱逼近性质在基扩张下的非不变性，南方科技大学，深圳(2021/01) 乘积空间零维周群的算术，深圳大学，深圳(2021/01)

乘积空间零维周群的算术，厦门大学，厦门(2020/11)

乘积空间零维周群的算术，2020数论自守表示论学术研讨会，苏州大学，苏州(2020/11)

乘积空间零维周群的算术，中国科学院信息工程研究所，北京(2020/11)

乘积空间零维周群的算术 ，武汉大学，武汉(2020/10)

数论中的局部与整体，哈尔滨工业大学数学研究院，哈尔滨(2020/01)

Non-invariance of strong and weak approximation properties under extension of the ground field - Geometry of arithmetic varieties，北京国际数学研究中心，北京大学，北京 (2019/09)

Non-invariance of strong and weak approximation properties under extension of the ground field，华东师范大学，上海 (2019/04)

Non-invariance of strong and weak approximation properties under extension of the ground field - Xiamen mini workshop in Arithmetic Geometry，厦门大学，厦门 (2019/04)

Non-invariance of strong and weak approximation properties under extension of the ground field - Cross Strait Workshop on Arithmetic Geometry, 晨兴数学中心，北京 (2019/03)

去掉挠点后的某些阿⻉尔簇的强逼近性质 - 2018中国数学会年会，贵阳 (2018/10)

Strong approximation for certain Abelian varieties punctured at torsion points - Winter Young Algebraic Geometer Workshop, Southern University of Science and Technology, Shenzhen, China (12/2017)

Arithmetic purity for strong approximation - Emory Conference on Higher Obstructions to Rational Points, Emory University, Atlanta, USA (05/2017) Local-global principle: Rational points vs. Degree zero Chow groups on rationally connected varieties , South China University of Technology, Guangzhou, China (04/2017) Local-global principle: Rational points vs. Degree zero Chow groups on rationally connected varieties , South China Normal University, Guangzhou, China (12/2016)

有理联通代数簇上的有理点和零次周群的局部整体原则, University of Science and Technology of China, Hefei, China (12/2016)
Pureté arithmétique à l'approximation forte et contre-exemples - Séminaire de Théorie des Nombres, IMJ-PRG Paris, France (10/2016)

Some progress on weak approximation for zero-cycles - Conference on Algebraic Number Theory, Sanya, China (01/2016)

Approximation faible pour les 0-cycles sur un produit de variétés - 26-ème Rencontres Arithmétiques de Caen, Caen, France (06/2015) Principe local-global pour les 0-cycles sur une fibration au-dessus des variétéss rationnellement connexes - S éminaire Variétés Rationnelles , Paris , France (02 / 201 4 )
Zero-cycles on varieties fibred over curves by Chatelet surfaces - Summer Workshop on Arithmetic Geometry, Tsinghua University, Beijing, Chin a (07/2013) Recent progress concerning local-global principle for zero-cycles on algebraic varieties - The Asian Mathematical Conference 2013, Busan, South Korea (07/2013) Zero-cycles on varieties fibred over curves by Chatelet surfaces -  Sino-French Conference on Arithmetic Geometry, Nankai University, Tianjin, China (06/2013) Rational points and zero-cycles on certain biquadratic bundles - Young Mathematician Forum, Peking University, Beijing, Chin a (0 6/2013 )

Zéro-cycles sur les fibrations en surfaces de Châtelet au-dessus d'une courbe - Séminaire de théorie des nombres, Bordeaux, France (11 / 2012)

Zéro-cycles sur les fibrations en surfaces de Châtelet au-dessus d'une courbe - Colloque Points Entiers P oints Rationnels , Grenoble, France (10 /201 2)

Brauer-Manin obstruction for zero-cycles on rationally connected varieties defined over number fields - Rational and integral points, with special reference to homogeneous spaces, Beijing, Chin a (09 /201 2)

Brauer-Manin obstruction for zero-cycles on rationally connected varieties defined over number fields - Workshop on Cohomological Methods in Arithmetic Geometry, Zurich, S witzerland (09 /201 2) Principe local-global pour les zéro-cycles - Colloque Jeunes Chercheurs en Th é orie des nombres, ENS Lyon , France (06/201 2 )

Principe local-global pour les 0-cycles - Séminaire Algèbre et Géométrie, Versailles, France (06 / 2012)

Principe local-global pour les 0-cycles - Séminaire de Théorie des Nombres, IMJ Paris, France (03/2012) 0-cycles sur les variétés rationnellement connexes S éminaire Variétés Rationnelles , Paris , France (1 1/ 201 1 ) Principe local-global pour les 0-cycles - Séminaire de géométrie algébrique, Rennes, France (06 / 2011) Brauer-Manin obstruction for rational points and for zero-cycles - Ramification in Algebra and Geometry, Atlanta, U SA (05/2011) Principe de Hasse pour les zéro-cycles de degré un sur certaines fibrations - S éminaire Variétés Rationnelles , Paris , France (10 / 2010) Hasse principle for zero-cycles of degree one on certain fibrations - Géométrie Algébrique en Liberté , Coimbra, Portugal (06 / 2010) Principe de Hasse pour les zéro-cycles de degré un sur certaines fibrations - Colloque Jeunes Chercheurs en Theorie des nombres, Strasbourg, France (06/2010) Méthodes cohomologiques pour l'étude des points rationnels - Journée des doctorants 2010 à Orsay, France (01 / 2010)