CMAF-CIO

Continuous model theory and Banach space geometry: an introduction (part 2)

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.

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Biochemical reaction networks: sense and sensitivity

Por Bernold Fiedler (Institute of Mathematics - Free University of Berlin).

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Mirror symmetry for Nahm branes

Por Emílio Franco (Universidade do Porto).

Abstract: Using the Dirac–Higgs bundle, we consider a new class of space-filling (BBB)-branes on moduli spaces of Higgs bundles, given by a generalized Nahm transform of a stable Higgs bundle. We then use the Fourier–Mukai–Nahm transform to describe its dual brane, which is checked to be a (BAA)-brane supported on a complex Lagrangian multisection of the Hitchin fibration.

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Choquard type equations with Hardy-Littlewood-Sobolev critical growth

Por Daniele Cassani (Università degli Studi dell'Insubria and RISM).

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Continuous model theory and Banach space geometry: an introduction

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.

Ler mais acerca de Continuous model theory and Banach space geometry: an introduction

Positive powers of the Laplacian: from hypersingular integrals to boundary value problems

Por Alberto Saldaña (Karlsruher Institut für Technologie).

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The regularity of solutions to the elasto-plastic problem and to variational problems of fast growth

Por Arrigo Cellina (Università di Milano-Bicocca).

Abstract: We consider the problem of the higher differentiability of solutions to some variational problems, characterized by the fast growth of the Lagrangian with respect to the variable gradient. In particular, the case of the elasto-plastic problem, where the Lagrangian is an extended-valued function, will be discussed.