报告时间:2026年11月19日(周四)上午 09:00-10:00
报告地点:腾讯会议 334-147-476
报告人:林秉辰 博士,四川大学
报告摘要:
The archimedean theory of Asai L-functions was introduced by Flicker and Kable, and partially completed by R. Beuzart-Plessis. In this theory, one expects that for a generic irreducible representation π of GL(n,C), there exist finitely many Whittaker functions and Schwartz functions such that a finite sum of zeta integrals equals the Asai L-function. Motivated by certain arithmetic applications, we establish a stronger form of this expectation for the cohomological representations of GL(n,C): we construct an explicit cohomological test vector and an explicit Schwartz function, for which a single Flicker zeta integral equals the Asai L-factors exactly. In this talk, we will talk about this result and the strategy of the construction. This is a joint work with Dongming She.
邀请人:白占强,董超平