Theta functions on the n-fold metaplectic cover of SL(2) over function fields.


Ting-Fang Lee

10:30:00 - 11:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Kubota wrote down an explicit description of the n-fold metaplectic cover of GL(2,C) and used this to define metaplectic Eistenstein series. He established the existence of a "theta function" which is the residue of the metaplectic Eistenstein series at 2s=1+1/n. Kubota was interested in more explicit description of these residues.
Patterson has made a conjecture about the case n=4 and Hoffstein proved Patterson's conjecture in the case where the ground field is a rational functional field. We will introduce Hoffstein's work in this talk.