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From quantum to quantales and beyond
20190122

Speaker: Pedro Resende (CAMGSD, Univ. Lisboa)

[The following abstract may also be found in the PDF file that is attached to this announcement] The axioms of quantum mechanics laid out by von Neumann involved Hilbert spaces and operators on them, and it soon became apparent that the properties of collections of operators are important, as...



Axiom T_D and the Simmons sublocale theorem
20190122

Speaker: Jorge Picado (CMUC, Univ. Coimbra)

A topological space X, more precisely its associated frame Ω(X) of open sets, has typically more sublocales than subspaces. We will analyze some of Simmons (1980) and Niefield and Rosenthal (1987) results concerning sublocales induced by subspaces. The first result concerning the...



Geometry of mechanical control systems with applications
20190123

Speaker: Sandra Isabel Ventura Ricardo (UTAD, Vila Real)

In this talk, a geometric setting for studying mechanical control systems is presented. A special class is distinguished: the class of geodesically accessible mechanical systems, for which the uniqueness of the mechanical structure is guaranteed (up to an extended point transformation). Nonlinear...



The 2representation theory of Soergel bimodules of finite Coxeter type: a road map to the complete classification of all simple transitive 2representations.
20190123

Speaker: Marco Mackaaij (Univ. Algarve)

I will recall Lusztig's Jcategories, which are fusion categories obtained from the perverse homology of Soergel bimodules. For example, for finite dihedral Coxeter type this fusion category is the semisimplified quotient of the module category of quantum so(3) at a root of unity, which...



On function theory in the Euclidean space
20190125

Speaker: Klaus Gürlebeck (BauhausUniversität Weimar, Germany)

We consider a function theory for functions defined in Rn with values in the quaternions or in Clifford algebras. The class of monogenic functions is firstly defined as the set of null solutions of a generalized CauchyRiemann system. Basic elements of this function theory (see also [1],[2]) like...



Stochastic solutions for nonlinear partial differential equations
20190220

Speaker: Rui Vilela Mendes (CMAFCIO, Univ. Lisboa)

A stochastic solution of a pde is a stochastic process that started from a point in the domain, generates a boundary measure which, when integrated over the initial condition, provides a local solution of the equation. Stochastic solutions not only provide new exact solutions for nonlinear pde's but...



On some applications of orthogonal polynomials in MathematicalPhysics
20190308

Speaker: Renato ÁlvarezNodarse (Univ. Sevilla, Spain)

The orthogonal polynomials (OP) are very useful tools in solving problems not only in Mathematics but also in Physics and Engineering. Among them, the classical orthogonal polynomials (COP) deserve a special attention. The main reasons are, from my point of view, from one hand the fact that they are...



Evolutionary quasivariational and variational inequalities with constraints on the derivatives
20190322

Speaker: Lisa Santos (Univ. Minho)

We study the existence of quasivariational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial derivatives of the solutions. The quasilinear operators are of monotone type, but are...



Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces
20190405

Speaker: Cornelia Schneider (Univ. ErlangenNuremberg, Germany)

TBA...


