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Spectral action in Betti metaplectic Langlands

유필상 0 12918
구분 Geometry Physics and Symmetry
일정 2026-07-07 14:00 ~ 16:00
강연자 박지웅 (UT Austin)
기타
담당교수 유필상

Abstract: When a mathematical object carries a commutative family of symmetries, it is often useful to study it by spreading it out over a space. Spectral action in geometric Langlands provides an example of this principle: the category of sheaves on Bun_G is organized over the moduli of \check{G}-local systems. In the context of metaplectic geometric Langlands, Gaitsgory and Lysenko conjectured an analogue of this structure: the category of twisted sheaves on Bun_G is expected to spread over the moduli of twisted H-local systems, where H is the metaplectic dual group. In this talk, I'll present my recent work on constructing the spectral action in the Betti metaplectic setting, emphasizing the role of factorization homology as a categorical mechanism for converting the metaplectic Hecke action into the spectral action.

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