Exponential maps and categoricity

Martin Bays (M√ľnster)

Frank Adams 1,

Associated to a complex algebraic group G is its exponential map
exp_G : LG --> G. I will discuss the model theory of expansions of
the complex field by such maps, focusing on the abelian case and on
the categoricity problem of giving descriptions of the structures
which determine them up to isomorphism. I will report on joint work
with Bradd Hart and Anand Pillay, and with Jonathan Kirby.

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