On factorization algebras arising in the quantum geometric Langlands theory

On factorization algebras arising in the quantum geometric Langlands theory

We study factorization algebras on configuration spaces of points on a curve, colored by elements of the root lattice. Our main result says that the factorization algebra attached to Lusztig's quantum group can be obtained as a direct image of a twisted Whittaker sheaf on the Zastava space.

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2021-11, Vol.391, p.107962, Article 107962
1. Verfasser: Gaitsgory, D.
Format: Artikel
Sprache:eng
Schlagworte:
Factorization algebras
Quantum groups
Whittaker category
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Zusammenfassung:We study factorization algebras on configuration spaces of points on a curve, colored by elements of the root lattice. Our main result says that the factorization algebra attached to Lusztig's quantum group can be obtained as a direct image of a twisted Whittaker sheaf on the Zastava space.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2021.107962