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On the profinite topology on solvable groups
20180523

Speaker: Khadijeh Alibabaei (CMUP, Univ. Porto)

We show that the wreath product of a finitely generated abelian group with a polycyclic group is a LERF group. This theorem yields as a corollary that the finitely generated free metabelian group is LERF, a result due to Coulbois.We also show that the finitely generated free solvable group of degree...



Supercharacters for algebra groups and their geometric relations
20180606

Speaker: João Dias (Univ. Lisboa)

Given any algebra group over any finite field one has a supercharacter theory constructed by P. Diaconis and I.M. Isaacs. And we may ask three questions: How the supercharacter theory behaves with respect to change of field (i.e. finite field extensions) Exists an object that contains all...



Spectral properties of variablecoefficient Toeplitz matrices
20180615

Speaker: Helena Mascarenhas (CEAFEL, IST Lisboa)

Finite sections of classical Toeplitz matrices have been heavily studied in the last decades due to its several applications in particular to engineering problems. Variablecoefficient Toeplitz matrices generalize these ones. We will present results on the asymtotic behaviour of the singular...


