报告题目:

Integer Partitions: A Pennsylvania Perspective

 

报告时间：2024年2月22日上午10点

腾讯会议号： 960 161 530  密码： 224199

 

ABSTRACT:

The theory of integer partitions is an important subfield of number theory and combinatorics. In recent decades, we have also witnessed its various applications to representation theory, computer algebra, theoretical physics, etc. In this talk, I will present two aspects of integer partitions, namely, their asymptotic behaviors which are closely tied with analytic number theory, and identities arising from partitions which are built upon basic hypergeometric series and computer algebra. In particular, such studies are deeply rooted in the philosophy of Hans Rademacher and George Andrews.

 

BIO:

陈小航，现于加拿大Dalhousie University任博士后研究员，合作导师为Karl Dilcher教授。2021年博士毕业于美国Pennsylvania State University，师从美国两院院士、前美国数学会主席George E. Andrews教授。研究专长：数论、组合数学、特殊函数。已在《Advances in Mathematics》、《Journal of Combinatorial Theory, Series A》、《Journal of Number Theory》、《Proceedings of the American Mathematical Society》、《European Journal of Combinatorics》、《The American Statistician》等高水平期刊发表学术论文多篇，并在Combinatory Analysis (2018)、Analytic and Combinatorial Number Theory: The Legacy of Ramanujan (2019)、The 27th International Conference on Applications of Computer Algebra (2022)等国际会议以及美国数学学会Joint Mathematics Meetings和Sectional Meetings上作报告。