Analysis and Mathematical Physics

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...

There are many example of (Hölder)-continuous functions with a.e. vanishing derivative which are non-constant, e.g. the Devil's staircase. However any Hölder continuous function with a vanishing distributional derivative is constant. This...