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math.RT2026
Quantum Betti geometric Langlands functor
Ekaterina Bogdanova
We construct the quantum geometric Langlands functor in the Betti setting via Whittaker coefficients. We show that the functor is compatible with the 2-Fourier-Mukai equivalence be…
math.RT2025
Non-vanishing of quantum geometric Whittaker coefficients
Ekaterina Bogdanova
We prove that for any reductive group of adjoint type cuspidal automorphic twisted D-modules have non-vanishing quantum Whittaker coefficients. The argument provides a microloc…