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Explore a mathematical seminar talk where Kirill Magidson delves into the coordinate-free formulation of the Feigin-Frenkel isomorphism theorem, building upon Elchanan's previous discussion of endomorphisms in vacuum modules over affine Lie algebras at critical level. Learn about Beilinson-Drinfeld's interpretation describing these endomorphisms as functions on the space of opers, and understand S.Raskin's geometric proof of this fundamental theorem. Delivered on November 1, 2023, the presentation provides a deeper understanding of how the polynomial algebra with infinite generators relates to vacuum module endomorphisms, moving beyond coordinate-dependent formulations.
