Summarizes four constructions of commutative factorization sheaves of categories on the Ran space, generalizes the Drinfeld-Plücker formalism, and relates Satake functors for the Ran space with those for the configuration space of colored divisors on a curve.
Eisenstein series and quantum groups
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abstract
We sketch a proof of a conjecture of [FFKM] that relates the geometric Eisenstein series sheaf with semi-infinite cohomology of the small quantum group with coefficients in the tilting module for the big quantum group.
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2024 1verdicts
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Note on factorization categories
Summarizes four constructions of commutative factorization sheaves of categories on the Ran space, generalizes the Drinfeld-Plücker formalism, and relates Satake functors for the Ran space with those for the configuration space of colored divisors on a curve.