The main goal of this conference is to study the recent achievement about algebraic number theory. More precise subjects are as follows. 1. Recent progress on arithmetic on quadratic forms and quadratic polynomials, such as classification and representation problems. Classification of universal and almost universal quadratic forms and quadratic polynomials. Application of various mass formula for quadratic polynomials. Effective determination of representation of quadratic forms and quadratic polynomials and computation of local densities. 2. Automorphic forms and L-functions. θ-lifting and relative trace formula. Arithmetic application of special values of L-function. K-groups of the ring of integers of number fields. Iwasawa theory and BSD conjecture for elliptic curves. 3. Comparison between number fields and the global function fields. Recent progress on arithmetic of global function fields. 4. Integral points and rational points on algebraic varieties. Strong approximation with Brauer-Manin obstruction for Fano varieties. Counting integral points with bounded height by using strong approximation.
01月18日
2016
01月22日
2016
注册截止日期
2018年12月10日 中国
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三亚国际数学论坛:Theory of Banach Spaces and Related Topics2018年06月04日 中国
三亚国际数学论坛:Modeling, Analysis, Simulations and Applications of Inter-Facial Dynamics and FSI Problems2018年05月14日 中国
三亚国际数学论坛:Recent Advances in Convex Geometry and Geometric Functional Analysis2018年04月09日 中国
三亚国际数学论坛:Asymptotic, Algebraic and Geometric Aspects of Integrable Systems2018年03月12日 中国
三亚国际数学论坛:Algorithmic Game Theory and Internet Economics2018年03月12日 中国
三亚国际数学论坛:Partial Differential Equations in Geometry and Physics2018年02月26日 中国
三亚国际数学论坛:Global Differential Geometry2018年02月26日 中国
三亚国际数学论坛:Nonlinear Partial Differential Equations and Related Topics2018年01月29日 中国
三亚国际数学论坛:Young Geometric Analysts
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