北京雁栖湖应用数学研究院

邓太旺

陈起渊

2026年08月06日 14:00 至 15:00

A3-3-201

Zoom 293 812 9202 (BIMSA)

Intertwining operators, as classical objects, are operators defined between parabolic inductions of representations of p-adic reductive groups. Langlands conjectured that after dividing gamma factors of L-parameters, the intertwining operators are associative. In my recent works, I constructed spectral intertwining operators between Eisenstein operators on the stacks of L-parameters, as an analog of the classical objects under the categorical Langlands correspondence, and I proved a result similar to the Langlands conjecture. In this talk, I will briefly introduce the classical intertwining operators, the categorical Langlands correspondence and the construction of the spectral intertwining operators.