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Number Theory Seminar

"A survey of GL(2) metaplectic theta functions"

Location:  Hill 525
Date & time: Tuesday, 27 September 2016 at 2:00PM -

Jeff Hoffstein, Brown University

"A survey of GL(2) metaplectic theta functions "

Abstract: 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.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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