Clay Mathematics Institute

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On functional Mordell-Lang in characteristic p

Anand Pillay (University of Notre Dame)

Abstract: I describe a new, essentially model-theoretic proof, of Mordell-Lang for  function fields in characteristic p>0, which proceeds via a reduction to functional  Manin-Mumford, and avoids recourse to results around  Zariski geometries.  Joint with F. Benoist and E. Bouscaren.