BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jialiang Zou (MIT) DTSTART:20251110T210000Z DTEND:20251110T220000Z DTSTAMP:20260423T040044Z UID:NTBU/34 DESCRIPTION:Title: Th eta correspondence and Springer correspondence\nby Jialiang Zou (MIT) as part of Boston University Number Theory Seminar\n\nLecture held in CDS Room 365 in Boston University.\n\nAbstract\nLet V and W be an orthogonal a nd a symplectic space\, respectively. The action of G=O(V)\\times Sp(W) on V\\otimes W provides an example of G-hyperspherical varieties introduced by D. Ben-Zvi\, Y. Sakellaridis\, and A. Venkatesh (BZSV for short). It is the classical limit of theta correspondence from the perspective of quant ization.. I will explain a geometric construction motivated by theta corre spondence over finite fields\, which describes how principal series repres entations behave under theta correspondence using Springer correspondence. \n\nBZSV proposed a relative Langlands duality linking certain G-hypersph erical varieties M with their dual G^\\vee-hyperspherical varieties M^\\ve e. A remarkable instance of this duality is that the hyperspherical variet y underlying theta correspondence is dual to the hyperspherical variety u nderlying the branching problem in the Gan-Gross-Prasad conjecture. I will discuss how these results fit into the broader framework of this relative Langlands duality. This is an ongoing joint work with Jiajun Ma\, Congli ng Qiu\, and Zhiwei Yun.\n LOCATION:https://researchseminars.org/talk/NTBU/34/ END:VEVENT END:VCALENDAR