Résume | In this second of the two afternoon talks in hommage to Zoé, I will revisit some of her major research contributions to the model theory of PAC fields and more specifically pseudofinite fields, mentioning also connections to some recent work of myself.
While, undoubtedly, the model theory of difference fields (and the long-term mathematical collaboration with Udi Hrushovski) takes central stage in Zoé's research career, the model theoretic study of pseudofinite and more general PAC fields has been an important topic throughout Zoé's entire mathematical life, from the construction of a well-behaved measure on definable sets in pseudofinite fields (obtained in 1992 in a highly influential joint work with Lou van den Dries and Angus Macintyre), the study of their amalgamation properties and the relation to simple theories (joint with Anand Pillay in the late 90's) to her recent work, joint with Nick Ramsey, on measures in e-free PAC fields and the definable amenability of definable groups therein.
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