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Langlands-Shahidi L-functions over function fields and isobaric sums

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Luis Lomeli
PUCV, Valparaiso
Wed, 20/09/2023 - 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We study properties of automorphic L-functions that arise in the Langlands-Shahidi setting over a global field of characteristic p. We look closely into local properties of the Langlands-Shahidi local coefficient and the representation theory of generic representations of reductive p-adic groups, and present results that are part of current work with del Castillo and Henniart. We then look into the global theory and functoriality in cases that arise in connection with the Langlands-Shahidi, where we show that a holomorphy property of L-functions implies that the image of functoriality can be written as an isobaric sum of cuspidal unitary representations.


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