現在位置:首頁 > 學術報告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Shin Hattori,Tokyo City University

Inviter:  
Title:
Duality of Drinfeld Modules and P-adic Properties of Drinfeld Modular Forms
Time & Venue:
2019.6.5 16:30-17:30 C110
Abstract:
Let p be a rational prime, q>1 a p-power and P a non-constant irreducible polynomial in F_q[t]. The notion of Drinfeld modular form is an analogue over F_q(t) of that of elliptic modular form. Numerical computations suggest that Drinfeld modular forms enjoy some P-adic structures comparable to the elliptic analogue, while at present their P-adic properties are less well understood than the p-adic elliptic case. In 1990s, Taguchi established duality theories for Drinfeld modules and also for a certain class of finite flat group schemes called finite v-modules. Using the duality for the latter, we can define a function field analogue of the Hodge-Tate map. In this talk, I will explain how the Taguchi's theory and our Hodge-Tate map yield results on Drinfeld modular forms which are classical to elliptic modular forms e.g. P-adic congruences of Fourier coefficients imply p-adic congruences of weights.
 

 

附件下載:
 
 
【打印本頁】【關閉本頁】
電子政務平臺   |   科技網郵箱   |   ARP系統   |   會議服務平臺   |   聯系我們   |   友情鏈接