Number Theory Seminar
A survey of GL(2) metaplectic theta functions
Location: Hill 525
Date & time: Tuesday, 27 September 2016 at 2:00PM - 2:11PM
Jeff Hoffstein, Brown University: I will explain what is presently known about theta functions on the n-fold cover of GL(2). These are generalizations to n >2 of the n=2 Jacobi theta function. Surprisingly little is known definitively about them but they are in some cases known, and in other cases conjectured, to have some very interesting arithmetic characteristics and applications. I will try to explain why these are worthy of interest, and give some examples of known applications and conjectured applications.