The nearby Lagrangian conjecture asks whether every closed exact
Lagrangian in the cotangent bundle of a closed manifold is
Hamiltonian isotopic to the zero section. Although relatively few
results on this conjecture are known, some progress has...
I will discuss OpenAI's proposed solution of the unramified
Langlands conjecture for function fields (problem #014 on the
list). Recently, the geometric Langlands conjecture in
characteristic 0 has been resolved, leading to substantial
progress...
