Number Theory Seminar
Presented by Anne Johnson
Title: $\rho$-orderings and valuative capacity in ultrametric spaces.
We present some basics facts on ultrametric spaces and show that several properties of valuative capacity, as defined on the integers, carry over naturally to compact subsets of an ultrametric space, $(M,\rho)$. We then give a recursive algorithm for computing the $\rho$-ordering of a compact subset $S \subseteq M$ and show how it can be used to calculate a $\rho-$ordering from the topology of $S$.
Chase Building, Room 227
email@example.comNumber Theory Seminar