Exact Results in Quantum Theory

It is well-known that Heun equations always admit a power series (local) solution at a regular singularity. On the other hand, such a local solution can be expanded into an infinite sum of hypergeometric functions. In this talk, we will give a unified approach to these series, which mimic the construction of p-adic numbers. Also, we will discuss its algebraic interpretations of the series of hypergeometric functions.
Link: zoom.us