**Data e local: 22/04/2021, 16h, Organizado por: Centro de Matemática e Aplicações, NOVA School of Science and Technology**

**Orador: Rodrigo Marinho, CAMGSD - Instituto Superior Técnico, Universidade de Lisboa**

**Abstract**

In this seminar we will discuss the convergence to equilibrium of Markov chains. We will exhibit the classical examples of card shuffles and use them to introduce our model: the exclusion process with reservoirs. To attend the proposal of the seminar, we will explain how this probabilistic model, as others, can be approached in a very analytical way.

Endereço para transmissão em directo https://videoconf-colibri.zoom.us/j/82268075611

**Data e local: 15/04/2021, 15H00, Organizado por: Departamento de Matemática e CIMA, Universidade de Évora**

**Orador: Jorge Tiago, Departamento de Matemática e CEMAT, Instituto Superior Técnico, Universidade de Lisboa**

**Abstract**

Blood flow simulations have long been considered as a valuable tool for a deeper understanding of the physiopathology of intracranial aneurysms. Many authors built robust computational settings based on accurate computer-assisted registration, segmentation, and 3D geometry reconstruction from medical images of patient specific cerebral aneurysms, and special techniques to derive appropriate boundary conditions. However, an accurate description of flow mechanics in the near wall region and its connection with the evolution of the wall disease remains linked to several questions not yet fully understood. Recently, a lower order approximation of the Lagrangian dynamics in the near wall region, which allows for a meaningful characterization of both normal and parallel direction to the wall, has been suggested. We verify this computational approach with a cohort of brain aneurysms and try to provide a step further in the understanding of the hemodynamic environment and its possible connection with the risk of rupture. Possible ways to improve such techniques are also discussed.

Para mais detalhes visite a página oficial https://www.dmat.uevora.pt/informacoes/eventos/(item)/32018

**Data e local: 14/04/2021, 16:10, Organizado por: CIDMA - Universidade de Aveiro**

**Orador: Alexei Karlovich, Centro de Matemática e Aplicações, Universidade NOVA de Lisboa**

**Abstract**

Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy-Littlewood maximal operator is bounded $X(\mathbb{R})$ and on its associate space $X'(\mathbb{R})$. The algebra $C_X(\dot{\mathbb{R}})$ of continuous Fourier multipliers on $X(\mathbb{R})$ is defined as the closure of the set of continuous functions of bounded variation on $\dot{\mathbb{R}}=\mathbb{R}\cup\{\infty\}$ with respect to the multiplier norm. It was proved recently by C. Fernandes, Yu. Karlovich and myself that if the space $X(\mathbb{R})$ is reflexive, then the ideal of compact operators is contained in the Banach algebra $\mathcal{A}_{X(\mathbb{R})}$ generated by all multiplication operators $aI$ by continuous functions $a\in C(\dot{\mathbb{R}})$ and by all Fourier convolution operators $W^0(b)$ with symbols $b\in C_X(\dot{\mathbb{R}})$. We show that there are separable and non-reflexive

Banach function spaces $X(\mathbb{R})$ such that the algebra $\mathcal{A}_{X(\mathbb{R})}$ does not contain all rank one operators. In particular, this happens in the case of the Lorentz spaces $L^{p,1}(\mathbb{R})$ with $1

Para consultar o cartaz clique aqui

Para mais detalhes visite a página oficial http://seminargafa.web.ua.pt

Endereço para transmissão em directo https://videoconf-colibri.zoom.us/j/84676013915?pwd=VTk1Q1dSaGtkc2VEWWVDMlZldjBFQT09

**Data e local: 12/04/2021, 16h00-17h00, Organizado por: CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional**

**Orador: Anton Freund, Technische Universitat Darmstadt**

**Abstract**

Timothy Carlson's patterns of resemblance offer an astonishingly simple way to describe large computable ordinals, as used in proof theory.

In this talk I discuss fundamental definitions and results, without assuming any prerequisites from proof theory. My aim is to explain the following recent theorem: By relativizing patterns of resemblance to dilators, one obtains an equivalence with Pi^1_1-comprehension, a central

principle from reverse mathematics (arXiv:2012.10292).

Endereço para transmissão em directo https://videoconf-colibri.zoom.us/j/89084793299?pwd=amRYK3pwcFZDTnV5MHhYMDh3Ni9UQT09

**Data e local: 08/04/2021, 16h, Organizado por: Centro de Matemática e Aplicações, NOVA School of Science and Technology**

**Orador: Oleksiy Karlovych, DM & CMA, NOVA School of Science and Technology**

**Abstract**

Let $\{h_n\}$ be a sequence in $\mathbb{R}^d$ tending to infinity and let

$\{T_{h_n}\}$ be the corresponding sequence of shift operators given by

$(T_{h_n}f)(x)=f(x-h_n)$ for $x\in\mathbb{R}^d$. We prove that $\{T_{h_n}\}$

converges weakly to the zero operator as $n\to\infty$ on a separable

Orlicz space $L^\phi(\mathbb{R}^d)$ if and only

if its fundamental function $\varphi_{L^\Phi}$ satisfies $\varphi_{L^\Phi}(t)/t\to 0$

as $t\to\infty$. On the other hand, we show that $\{T_{h_n}\}$ does not

converge weakly to the zero operator as $n\to\infty$ on all non-separable Orlicz

spaces $L^\Phi(\mathbb{R}^d)$. This is a joint work with Eugene Shargorodksy

(King's College London, UK).

Endereço para transmissão em directo https://videoconf-colibri.zoom.us/j/82268075611