Number Theory Seminar

Presented by Anne Johnson

Title: $\rho$-orderings and valuative capacity in ultrametric spaces.

Abstract:

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 $S$.

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Location

Chase Building, Room 227

No cost

lin.jiu@dal.ca