On Kronecker terms over function fields
Fu-Tsun Wei 魏福村 (National Tsing Hua University)
Abstract: In this talk, I shall present a function field analogue of the Kronecker limit formula (in mixed characteristic), which connects a special value of “non-holomorohic” Ensenstein series on the Drinfeld period domain with the Drinfeld-Siegel units. This leads to analytic means of deriving a Colmez-type formula for “stable Taguchi height” of CM Drinfeld modules having arbitrary rank. A Lerch-Type formula for “totally real” function fields is also obtained, with the Heegner cycle on the Bruhat-Tits buildings intervene. Also, our limit formula is naturally applied to the special values of both the Rankin-Selberg L-functions and the Godement-Jacquet L-functions associated to automorphic cuspidal representations over global function fields.
Mathematics
Audience: researchers in the topic
| Organizers: | Shing Tung Yau, Shiu-Yuen Cheng, Sen Hu*, Mu-Tao Wang |
| *contact for this listing |