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SUMMARY:Petar Bakic (Utah)
DTSTART:20220127T220000Z
DTEND:20220127T230000Z
DTSTAMP:20260423T022805Z
UID:UCSD_NTS/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/53/
 ">Howe duality for exceptional theta correspondences</a>\nby Petar Bakic (
 Utah) as part of UCSD number theory seminar\n\nLecture held in online.\n\n
 Abstract\nThe theory of local theta correspondence is built up from two ma
 in ingredients: a reductive dual pair inside a symplectic group\, and a We
 il representation of its metaplectic cover. Exceptional correspondences ar
 ise similarly: dual pairs inside exceptional groups can be constructed usi
 ng so-called Freudenthal Jordan algebras\, while the minimal representatio
 n provides a suitable replacement for the Weil representation. The talk wi
 ll begin by recalling these constructions. Focusing on a particular dual p
 air\, we will explain how one obtains Howe duality for the correspondence 
 in question. Finally\, we will discuss applications of these results. The 
 new work in this talk is joint with Gordan Savin.\n\npre-talk at 1:30pm\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/53/
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