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SUMMARY:A Feigin-Frenkel theorem with n singularities
DTSTART;VALUE=DATE-TIME:20230116T093000Z
DTEND;VALUE=DATE-TIME:20230116T113000Z
DTSTAMP;VALUE=DATE-TIME:20230321T163000Z
UID:indico-event-9239@indico.math.cnrs.fr
DESCRIPTION:Speakers: Luca Casarin\n\nIt is now a well know theorem by Fei
gin-Frenkel that the center of the completed enveloping algebra of the aff
ine algebra $\\mathfrak{\\hat{g}}_k$ at the critical level is canonically
isomorphic to the algebra of functions on the space of Opersover the point
ed formal disc $Op_{G^L}(D^∗)$. Starting from the work of Fortuna\, Lomb
ardo\, Maffei and Melani I will introduce an analogue of the affinealgebra
with n singularities. We then proceed to discuss an analogue of theFeigin
-Frenkel theorem in this new setting\, which establishes an isomorphismwit
h the center of the completed enveloping algebra in the case with nsingula
rities with the algebra of functions on the space of Opers over then-point
ed formal disc $Op_{G^L}(D_n^∗)$. I will focus on the main ingredients o
f theproof and the various compatibilities that these isomorphisms satisfy
withrespect to the original Feigin-Frenkel isomorphism.\n\nhttps://indico
.math.cnrs.fr/event/9239/
LOCATION:Salle Fokko Ducloux (ICJ)
URL:https://indico.math.cnrs.fr/event/9239/
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