BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yuanqing Cai (Kyoto University) DTSTART:20200826T023000Z DTEND:20200826T033000Z DTSTAMP:20260423T022837Z UID:POINTS/14 DESCRIPTION:Title: Doubling integrals for Brylinski-Deligne extensions of classical groups\nby Yuanqing Cai (Kyoto University) as part of POINTS - Peking Online In ternational Number Theory Seminar\n\n\nAbstract\nIn the 1980s\, Piatetski- Shapiro and Rallis discovered a family of Rankin-Selberg integrals for the classical groups that did not rely on Whittaker models. This is the so-ca lled doubling method. It grew out of Rallis' work on the inner products of theta lifts -- the Rallis inner product formula.\n\nRecently\, a family o f global integrals that represent the tensor product L-functions for class ical groups (joint with Friedberg\, Ginzburg\, and Kaplan) and the tensor product L-functions for covers of symplectic groups (Kaplan) was discovere d. These can be viewed as generalizations of the doubling method. In this talk\, we explain how to develop the doubling integrals for Brylinski-Deli gne extensions of all connected classical groups. This gives a family of E ulerian global integrals for this class of non-linear extensions.\n\nZoom ID = 688 8198 6448\n\nZoom Password = 472875\n\nZoom Link = https://zoom.c om.cn/j/68881986448?pwd=d3BCRzR2Q1AwM0hyV1RHVCtFcnR4UT09\n LOCATION:https://researchseminars.org/talk/POINTS/14/ END:VEVENT END:VCALENDAR