Seminars & Colloquia Calendar
The theta function as an automorphic form on the metaplectic group
George Hauser - Rutgers University
Location: Hill 423
Date & time: Wednesday, 20 February 2019 at 11:00AM - 12:00PM
| Abstract: | The theta function is a basic example of a modular form of half-integral weight. As such, its transformation law is delicate, since care must be taken in choosing a branch cut for the square root. The metaplectic group is a double cover of SL(2,R). I will explain how it is natural to look at the theta function as an automorphic form on the metaplectic group, and how this conceptual arrangement simplified the transformation law for the theta function. |
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