Matemática

Integration in non-archimedean real closed fields with archimedean value group

Mário Edmundo
CMAF-CIO, Universidade de Lisboa

Abstract: In this seminar we present (some of) the recent the work of Tobias Kaiser (Univ. Passau) establishing, for the categories of semi-algebraic functions, globally sub-analytic functions and more generally constructible functions on non archimedean real closed fields with archimedean value group, a full Lebesgue like integration theory.

Analytic determinacy (part 5 and last)

António Fernandes
Instituto Superior Técnico, Universidade de Lisboa

Abstract: The purpose of this talk (eventually a series of talks) is to exhibit a proof (by Donald Martin) that analytic determinacy holds under a certain large cardinal hypothesis. In fact we intend to convey a little bit more than just the content of this proof, we will try to enlighten the deep connection between determinacy, which is a game related concept, and the theory of definable sets of reals.

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