The Finite Field Distance Problem Aisha White These lectures recount an application

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter

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The Finite Field Distance Problem Aisha White These lectures recount an applicationErdos asked how many distinct distances must there be in a set of $n$ points in the plane. Falconer asked a continuous analogue, essentially asking what is the minimal Hausdorff dimension required of a compact set in order to guarantee that the set of distinct distances has positive Lebesgue measure in $R$. The finite field distance problem poses the analogous question in a vector space over a finite field. The problem is relatively new but remains