Proof of the geometric Langlands conjecture IV: ambidexterity

Autor: Arinkin, D., Beraldo, D., Chen, L., Faergeman, J., Gaitsgory, D., Lin, K., Raskin, S., Rozenblyum, N.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: This paper performs the following steps toward the proof of GLC in the de Rham setting: (i) We deduce GLC for G=GL_n; (ii) We prove that the Langlands functor L_G constructed in [GLC1], when restricted to the cuspidal category, is ambidextrous; (iii) We reduce GLC to the study of a certain classical vector bundle with connection on the stack of irreducible local systems; (iv) We prove that GLC is equivalent to the contractibility of the space of generic oper structures on irreducible local systems; (v) Using [BKS], we deduce GLC for classical groups.
Databáze: arXiv