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.
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https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Third floor seminar room and Zoom
אוניברסיטת בר-אילן - המחלקה למתמטיקה
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.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
תאריך עדכון אחרון : 14/02/2024
