NTU Math Special Talk
 
演講者：Dr. Wei, Fu-Tsun (Institute of Math, Academia Sinica)
講  題：Green's functions on Mumford curves
時  間：2016年2月22日 (星期一) 14:30~15:20
地  點：臺灣大學天數館440室
摘  要：I will discuss an analogue of Green's function on Mumford curves. The meromorphic continuation of this Green function comes from a "differential equation," and we interpret the special value at s=0 as a "volume" of the corresponding curve. Using harmonic analysis on Bruhat-Tits trees, we derive a "Kronecker limit formula" for the Green functions in question, which connects the derivative at s=0 with the Manin-Drinfeld theta functions. Following Gross' description of Néron's local height pairing on Mumford curves, the special derivative here then equals twice of the Néron's local height with sign changed.