3 papers
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…
math.AG2024
Local systems with restricted variation on the formal punctured disc via factorization
Ekaterina Bogdanova
We define the stack of -local systems with restricted variation on the formal puntured disc and study its properties. We embed sheaves of categories over this stack into the cat…