Centre for Mathematics, University of Coimbra

Seminars

Trace inequalities for potential operators

2024-09-20

Speaker: Lubos Pick (Charles University, Prague, Czech Republic)

We offer a lateral approach to trace inequalities for potential-type operators based on an appropriate modification of Calderón interpolation theorem. We develop a general theoretical tool for establishing boundedness of notoriously difficult operators (such as potentials) on certain...

Orthogonal Gaussian polyanalytic functions and white noise spectrograms

2024-09-20

Speaker: Luís Daniel Abreu (NuHAG, University of Vienna, Austria)

See attached PDF....

Differential relations and other properties of two families of 2-orthogonal polynomial eigenfunctions

2024-09-20

Speaker: Teresa A. Mesquita (Polytechnic Institute of Viana do Castelo & CMUP)

TBA...

Gap labelling for periodic Jacobi matrices on trees

2024-09-24

Speaker: Barry Simon (Caltech, USA)

I will present a new and simple proof (published with Banks, Breuer, Garza Vargas and Seelig) of Sunada's gap labelling for periodic Jacobi matrices on trees. I will discuss what periodic Jacobi matrices on trees are and the historical background of the result as well as present...

Pointfree theories of T0 spaces

2024-09-24

Speaker: Anna Laura Suarez (CMUC, Univ. Coimbra)

Pointfree topology regards certain order-theoretical structures, called frames, as topological spaces. We regard frames as spaces in virtue of the lattice of open set of every space being a frame. Not all frames are lattices of open sets; nonetheless, studying all frames as spaces offers...

Some recent results on algebras of partial functions

2024-09-24

Speaker: Brett McLean (Ghent Univ., Belgium)

We will investigate algebraic structures that are isomorphic to a set of partial functions equipped with selected operations (e.g. composition, intersection, etc.). I will spend most of the time describing results about completely representable algebras - these are the algebras that can be...

A good projective resolution of Weyl modules

2024-09-25

Speaker: Ana Paula Santana (CMUC, Univ. Coimbra)

We construct what we call a "good" projective resolution of Weyl modules for the general linear group over an arbitrary commutative ring.From this, we obtain a resolution of the co-Specht modules for the symmetric group by permutation modules.These resolutions allow us to generalize in...

Operations in Khovanov homology

2024-10-09

Speaker: Federico Moran (Universidad Autónoma de Madrid, Spain)

I will give an introduction to Khovanov homology, a link invariant introduced by Khovanov twenty-five years ago, and then explain how to construct operations on this link invariant following the work of Lipshitz and Sarkar on Khovanov spectra....

Right-preordered groups from a categorical perspective

2024-10-22

Speaker: Maria Manuel Clementino (CMUC, Univ. Coimbra)

Following the study of the categorical features of preordered groups of [1], in this talk we study the category of right-preordered groups and monotone homomorphisms. We start by showing that this category has exactly the same exactness properties as the category of preordered groups....

The concept of t-basis and vector-valued Hardy classes

2024-10-22

Speaker: Sabina Sadigova (Instit. Mathematics & Mechanics, National Academy of Sciences of Azerbaijan)

TBA...

Enriched aspects of the Mal'tsev Property

2024-10-22

Speaker: Diana Rodelo (CMUC & Univ. Algarve)

The aim of this work is to explore the 1-dimensional algebraic Mal'tsev property from an Ord-enriched point of view. A 1-dimensional (regular) Mal'tsev category [2, 1] may be characterised through nice properties on (internal) relations such as:- every reflexive relation \( R \rightarrowtail...

Matrix orthogonal polynomials: an exceptional example.

2024-10-23

Speaker: Erik Koelink (Radboud Universiteit, Netherlands)

TBA...

Rectifiability in Carnot groups

2024-12-03

Speaker: Daniela Di Donato (University of Pavia, Italy)

TBA...