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From quantum to quantales and beyond
2019-01-22
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
2019-01-22
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
2019-01-23
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). Non-linear...
 
The 2-representation theory of Soergel bimodules of finite Coxeter type: a road map to the complete classification of all simple transitive 2-representations.
2019-01-23
Speaker: Marco Mackaaij (Univ. Algarve)
I will recall Lusztig's J-categories, 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
2019-01-25
Speaker: Klaus Gürlebeck (Bauhaus-Universität 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 Cauchy-Riemann system. Basic elements of this function theory (see also [1],[2]) like...
 
Stochastic solutions for nonlinear partial differential equations
2019-02-20
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 Mathematical-Physics
2019-03-08
Speaker: Renato Álvarez-Nodarse (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 quasi-variational and variational inequalities with constraints on the derivatives
2019-03-22
Speaker: Lisa Santos (Univ. Minho)
We study  the existence of quasi-variational 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 quasi-linear operators are of monotone type, but are...
 
Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces
2019-04-05
Speaker: Cornelia Schneider (Univ. Erlangen-Nuremberg, Germany)
TBA...
 
     
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