Matemática

Fractionary powers of Laplacians in Fluid Mechanics

Por Antonio Córdoba (Universidad Autónoma de Madrid).

Abstract: Fractional powers of Laplacians play an important role in the evolution of fluid interphases and atmospheric fronts. There are several useful, and to some extend surprising, new pointwise inequalities satisfied by those operators which help us to understand the nature of several models in Fluid Mechanics, such as SQG, Hele-Shaw cells or Muskat’s problem.

Axiomatic Thinking

O encontro comemora o centenário do artigo “Axiomatisches Denken” de David Hilbert.

No dia 11 de outubro, o encontro decorre na Academia das Ciências e é dedicado aos Fundamentos da Matemática. Nos restantes dias (12 a 14 de outubro), decorre no campus da Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa e também serão abordados outros aspetos do pensamento axiomático.

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. 

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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