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Title: Groups of type FP_2 over fields.

Abstract: Being of type FP_2 is an algebraic shadow of being finitely presented. A long standing question was whether these two classes are equivalent. This was shown to be false in the work of Bestvina and Brady. More recently, there are many new examples of groups of type FP_2 coming with various interesting properties. I will begin with an introduction to the finiteness property FP_2. I will end by giving a construction to find groups that are of type FP_2(F) for all fields F but not FP_2(Z).

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