CMAF-CIO

On the mean Euler characteristic of Gorenstein toric contact manifolds

Miguel Abreu
Dep. Matemática - Instituto Superior Técnico

Abstract: In this talk I will prove that the mean Euler characteristic of a Gorenstein toric contact manifold is equal to half the normalized volume of the corresponding toric diagram. I will also give some immediate applications of this result. This is joint work with Leonardo Macarini.

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.

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.

Analytic determinacy (part 4)

António Fernandes
Instituto Superior Técnico

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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