报告人:吕恒飞 (北京航空航天大学)
报告时间:2025年10月31日(星期五)10:30-12:00
报告地点:东32楼216室
报告摘要:Given a local field F, define a reductive G over F. Suppose that there exists an involution on G such that the fixed points form another reductive group, denoted by H. Then G/H is a symmetric pair. How to describe the space S(G/H), i.e., those smooth representations Pi of G restricted to H containing the trivial character as a quotient, is so called the relative Langlands program. They are related to the nonvanishing property of certain L-functions at some special points. In this talk, we will give a brief introduction, including the Langlands functoriality conjecture, the multiplicities problems and the special value of certain L-functions, based on the examples. In particular, we will focus on the Galois involution and the PTB pairs.
报告人简介:吕恒飞,副教授,2010年本科毕业于武汉大学数学基地班,2017年在新加坡国立大学获得博士学位,现任职于北京航空航天大学数学科学学院,研究方向为数论与表示论,目前已经发表十余篇学术论文,刊登于ANT, Math. Z.,JNT和Compos. Math.等期刊。
邀请人:张庆