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Totally nonnegative unitriangular Toeplitz matrices and kSchur functions
20180621

Speaker: Cédric Lecouvey (Univ. François Rabelais, Tours, France)

The talk will focus on effective parametrisations of unitriangular Toeplitz matrices. We will first recall Thoma's parametrisation for the infinite matrices. Next, for matrices of rank k, we will see how one can recover Rietsch's parametrisation by ktuple of nonnegative reals from the combinatorics...



Aspects of the Painlevé equations
20180622

Speaker: Galina Filipuk (Univ. of Warsaw, Poland)

In this talk I shall present new nonlinear differentialdifference equations related to the second Painlevé equation. I shall also review the basics of Nevanlinna theory (notation, examples and main theorems) and show how it can be applied to the study value distribution and growth of...



Infinitesimal automorphisms of VB groupoids and algebroids
20180627

Speaker: Alfonso Tortorella (KU Leuven, Belgium)

VBgroupoids and algebroids are vector bundle objects in the categories of Lie groupoids and Lie algebroids respectively, and they are related via the Lie functor. VBgroupoids and algebroids play a prominent role in Poisson and related geometries. In this talk, based on joint work with Chiara...



A problemdependent inner approximation of the completely positive cone
20180627

Speaker: Mina Saee Bostanabad (PhD student, CMUC)

Motivated by the expressive power of completely positive programming and its dual, copositive programming, to encode hard optimization problems, many approximation schemes for the completely positive and copositive cones have been proposed and successfully used. For the completely positive cone, the...



Galois theory of graphs
20180629

Speaker: George Janelidze (Univ. Cape Town, South Africa)

This talk is about graphs in the sense of graph theory (not in the sense used in category theory). It will be shown that their Galois theory is not very different from other setvalued combinatorial Galois theories considered before, in spite of what it seems, due to nonexistence of various...



On generating cartesian closed subcategories of (T,V)Cat
20180629

Speaker: Willian Ribeiro (PhD Student, CMUC)

Generalizing the work of [1], we present the process of generating cartesian closed subcategories of (T,V)Cat. From a fixed class C of objects, we form a new (reflective) subcategory whose objects are shown to be colimits of objects in C. For instance taking for C the class of compact Hausdorff...



Towards semi left exactness and JanelidzeGalois within the lax idempotent context
20180629

Speaker: Fernando Lucatelli Nunes (CMUC)

This is a joint work with Maria Manuel Clementino. Our aim is to understand the analogues of semileft exactness and the analogues of the basic ideas of JanelidzeGalois within the lax idempotent context. As it is usual, there are more than one possible approach to do so. Our first step is...



TBA
20180713

Speaker: Cornelia Schneider (Univ. ErlangenNuremberg, Germany)

TBA...


