Proof mining in convex optimization and nonlinear analysis
Por Laurentiu Leustean (University of Bucharest and Simion Stoilow Institute of Mathematics of the Romanian Academy).
Por Laurentiu Leustean (University of Bucharest and Simion Stoilow Institute of Mathematics of the Romanian Academy).
Por Alexander Usvyatsov (Universidade de Lisboa, CMAF-CIO).
Abstract: These two talks are intended as a soft and not too technical introduction to model theory of metric structures, including a short history and motivating questions, with a particular emphasis on fundamentals of continuous first order logic. I will also mention a few successful applications to Banach space theory, as well as more recent promising directions.
Por Alexander Usvyatsov (Universidade de Lisboa, CMAF-CIO).
Abstract: These two talks are intended as a soft and not too technical introduction to model theory of metric structures, including a short history and motivating questions, with a particular emphasis on fundamentals of continuous first order logic. I will also mention a few successful applications to Banach space theory, as well as more recent promising directions.
Por Ruy de Queiroz (Universidade Federal de Pernambuco).
Por Pedro Pinto (Universidade de Lisboa, CMAF-CIO).
Abstract: In [2], Kohlenbach did an analysis of the proof of Browder's theorem (in [1]) via the monotone functional interpretation. I will be following the same outline but guided by the bounded functional interpretation ([3], [4]). Although the bounds obtained are the same, this example provides a first look at how the bounded functional interpretation works in practice.
Por Manuel Martins (Universidade de Aveiro).
Ezgi Su
CMAFCIO, Universidade de Lisboa
Por Ezgi Su (Universidade de Lisboa, CMAF-CIO).
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.
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.