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SUMMARY:Yuanqing Cai (Kanazawa University)
DTSTART:20210407T000000Z
DTEND:20210407T010000Z
DTSTAMP:20260423T024511Z
UID:GNTRT/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GNTRT/10/">D
 oubling integrals for Brylinski-Deligne extensions of classical groups</a>
 \nby Yuanqing Cai (Kanazawa University) as part of Geometry\, Number Theor
 y and Representation Theory Seminar\n\n\nAbstract\nIn the 1980s\, Piatetsk
 i-Shapiro and Rallis discovered a family of\nRankin-Selberg integrals for 
 the classical groups that did not rely on\nWhittaker models. This is the s
 o-called doubling method. It grew out of\nRallis' work on the inner produc
 ts of theta lifts -- the Rallis inner\nproduct formula.\n\nRecently\, a fa
 mily of global integrals that represent the tensor product\nL-functions fo
 r classical groups (joint with Friedberg\, Ginzburg\, and\nKaplan) and the
  tensor product L-functions for covers of symplectic\ngroups (Kaplan) was 
 discovered. These can be viewed as generalizations\nof the doubling method
 . In this talk\, we explain how to develop the\ndoubling integrals for Bry
 linski-Deligne extensions of connected\nclassical groups. This gives a fam
 ily of Eulerian global integrals for\nthis class of non-linear extensions.
 \n
LOCATION:https://researchseminars.org/talk/GNTRT/10/
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