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BSD conjecture, Gross-Zagier-Zhang formula, Modular invariants and Cryptography
 BSD conjecture, Gross-Zagier-Zhang formula, Modular invariants and Cryptography 教师介绍 本讲教师：杨同海 所属学科：理科 人　　气：529 课程介绍 摘要：Number theory is a very attractive subject to study because some of its problems are so easy to understand but hard to solve, such as Fermat's Last Theorem and ABC conjecture, and others give deep connections between two totally different objects such as BSD conjecture. Morever, you can try any tools you can imagine, e.g. algebraic geometry/arithmmetic geometry, representation theory, analysis, probability, and PDE. In last fifty years, we also see applications of number theory to Cryptosystem and others. In this talk, I will informally talk about some of my personal experience with Gross-Zagier-Zhang formula, and its degenerate case-factorization of norm of CM values of modular functions. The latter led me to some of interesting application to Cryptography. 报告人简介： 杨同海教授是国际知名数论学家，美国数学会会士，威斯康星大学数学系教授、系主任。1987-1990年在科大数学系任教，在此期间师从冯克勤教授和陆洪文教授学习数论知识，并由此出发于1991年春赴马里兰大学攻读博士学位。博士毕业后在普林斯顿高等研究院和密歇根大学任博士后，纽约州立大学石溪分校副教授，1999年起在威斯康星大学工作至今。杨同海教授1999年荣获美国数学会 Centennial Fellowship，2007年获得国家自然科学基金杰青B类，2012-2015年是清华大学千人计划教授，2018年当选为美国数学会会士。数学之外，他与胡寄宁先生共同创立“宁国市中美爱心基金”，目前每年资助约1400名农村贫困学生继续学业。

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