Centre for Mathematics, University of Coimbra

Seminars

Convex matrix functions

2024-09-18

Speaker: Takashi Sano (Yamagata Univ., Japan)

In this talk, the following topics are explained, hopefully:・Loewner and Kraus matrices・Inertia of Kraus Matrices・Matrix perspectives・Strongly convex matrix functions・Positive definiteness of Hadamard inverses・Inequalities of indefinite type...

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)

https://www.mat.uc.pt/~pgsfop/activities.html...

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....

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...

Rectifiability in Carnot groups

2024-12-03

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

TBA...