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Proof of the geometric Langlands conjecture IV: ambidexterity

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  • معلومة اضافية
    • الموضوع:
      2024
    • Collection:
      Mathematics
    • نبذة مختصرة :
      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.
    • الرقم المعرف:
      edsarx.2409.08670