March 7, 2016
4:30 pm
-
5:30 pm
Math Tower 154
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2016-03-07 17:30:00
2016-03-07 18:30:00
Number Theory Seminar - Aaron Pollack
Title: The Spin L-function on GSp(6)Speaker: Aaron Pollack (Stanford)Abstract: I will discuss a Rankin-Selberg integral that may be thought of as a close cousin of the triple product integral of Garrett and Piatetski-Shapiro--Rallis. The integral unfolds to the degree 8 Spin L-function of cuspidal automorphic representations of PGSp(6). When the automorphic representation corresponds to a level one Siegel modular form, we deduce the finiteness of poles and functional equation of the completed L-function. The arithmetic invariant theory of quaternion algebras and their orders plays an important role.Seminar URL: https://research.math.osu.edu/numbertheory/
Math Tower 154
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Date Range
2016-03-07 16:30:00
2016-03-07 17:30:00
Number Theory Seminar - Aaron Pollack
Title: The Spin L-function on GSp(6)Speaker: Aaron Pollack (Stanford)Abstract: I will discuss a Rankin-Selberg integral that may be thought of as a close cousin of the triple product integral of Garrett and Piatetski-Shapiro--Rallis. The integral unfolds to the degree 8 Spin L-function of cuspidal automorphic representations of PGSp(6). When the automorphic representation corresponds to a level one Siegel modular form, we deduce the finiteness of poles and functional equation of the completed L-function. The arithmetic invariant theory of quaternion algebras and their orders plays an important role.Seminar URL: https://research.math.osu.edu/numbertheory/
Math Tower 154
America/New_York
public
Title: The Spin L-function on GSp(6)
Speaker: Aaron Pollack (Stanford)
Abstract: I will discuss a Rankin-Selberg integral that may be thought of as a close cousin of the triple product integral of Garrett and Piatetski-Shapiro--Rallis. The integral unfolds to the degree 8 Spin L-function of cuspidal automorphic representations of PGSp(6). When the automorphic representation corresponds to a level one Siegel modular form, we deduce the finiteness of poles and functional equation of the completed L-function. The arithmetic invariant theory of quaternion algebras and their orders plays an important role.
Seminar URL: https://research.math.osu.edu/numbertheory/
