Morphisms of theta lifts of non-trivial automorphic characters of the orthogonal group

Seminar
Speaker
Ron Erez (Tel Aviv University)
Date
21/02/2024 - 11:30 - 10:30Add to Calendar 2024-02-21 10:30:00 2024-02-21 11:30:00 Morphisms of theta lifts of non-trivial automorphic characters of the orthogonal group This work is inspired by Kobi Snitz's 2003 Ph.D. thesis, where he constructed two irreducible, automorphic, cuspidal representations of the metaplectic group (a double cover of SL_2(A), where A are the adeles) from global theta lifts of orthogonal groups and non-trivial automorphic quadratic characters. Snitz constructed isomorphisms between these representations for certain matching data of quadratic spaces and automorphic quadratic characters which can be thought of as an analog of the Siegel-Weil formula. Our aim is to find a suitable reformulatation of Snitz's results to higher rank groups. ================================================ https://us02web.zoom.us/j/87856132062 Meeting ID: 878 5613 2062 Third floor seminar room and Zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room and Zoom
Abstract

This work is inspired by Kobi Snitz's 2003 Ph.D. thesis, where he constructed two irreducible, automorphic, cuspidal representations of the metaplectic group (a double cover of SL_2(A), where A are the adeles) from global theta lifts of orthogonal groups and non-trivial automorphic quadratic characters. Snitz constructed isomorphisms between these representations for certain matching data of quadratic spaces and automorphic quadratic characters which can be thought of as an analog of the Siegel-Weil formula. Our aim is to find a suitable reformulatation of Snitz's results to higher rank groups.

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https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062

Last Updated Date : 14/02/2024