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Home » NGM Research Seminar: The standard L-function for G_2: a "new way" integral.

Seminar

NGM Research Seminar: The standard L-function for G_2: a "new way" integral. September 18, 2014 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Nadezhda Gurevich (Ben Gurion University of the Negev)
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Abstract/Media

We consider a Rankin-Selberg integral representation of a cuspidal (not necessarily generic) representation of the exceptional group G2. Although the integral unfolds with a non-unique model, it turns out to be Eulerian and represents the standard L-function of degree 7. We discuss a general approach to the integrals with non-unique models. The integral can be used to describe the representations of G2 for which the (twisted)  L-function has a pole as functorial lifts. This is a joint work with Avner Segal.

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