Spectral action in Betti metaplectic Langlands
| 구분 | Geometry Physics and Symmetry |
|---|---|
| 일정 | 2026-07-07(화) 14:00~16:00 |
| 세미나실 | 27동 325호 |
| 강연자 | 박지웅 (UT Austin) |
| 담당교수 | 유필상 |
| 기타 |
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.