L’erotisme a les Cartes a les Senyores dels Àngels i de Jerusalem, de Francesc Fontanella = Eroticism in Cartes a les Senyores dels Àngels i de Jerusalem, of Francesc Fontanella

This article focuses on the study of the treatment of eroticism in some of the poetic compositions from Francesc Fontanella (1622-1682/3). The paper studies fiften literary epistles whisch Fontanella dedicated to the nuns of the convent of Els Àngels and Jerusalem of Barcelona during the 1640s. It is divided into two parts; to first, the compositions under study are identified and presented briefly, and some issues related to the transmission of these textes are clarified. The second part discusses in detail all erotic references present in text. This analysis, on one hand, allows to present an interpretation of the meaning of the whole story contained in the letters. Moreover, it allows to present a characterization of the erotic vision of Fontanella. This is done by comparing this vision with the usual one at the time of baroque, as well as by analyzing the rhetorical strategies and the representation strategies that the author uses in the treatment of eroticism

Cluster algebras, quiver representations and triangulated categories

This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories. It is based on lectures given by the author at summer schools held in 2006 (Bavaria)and 2008 (Jerusalem). In addition to by now classical material, we present the outline of a proof of the periodicity conjecture for pairs of Dynkin diagrams (details will appear elsewhere) and recent results on the interpretation of mutations as derived equivalences.

Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions

We study the possibility of splitting any bounded analytic function $f$ with singularities in a closed set $E\cup F$ as a sum of two bounded analytic functions with singularities in $E$ and $F$ respectively. We obtain some results under geometric restrictions on the sets $E$ and $F$ and we provide some examples showing the sharpness of the positive results.

A lower bound in Nehari's theorem on the polydisc

By theorems of Ferguson and Lacey ($d=2$) and Lacey and Terwilleger ($d>2$), Nehari's theorem is known to hold on the polydisc $\D^d$ for $d>1$, i.e., if $H_\psi$ is a bounded Hankel form on $H^2(\D^d)$ with analytic symbol $\psi$, then there is a function $\varphi$ in $L^\infty(\T^d)$ such that $\psi$ is the Riesz projection of $\varphi$. A method proposed in Helson's last paper is used to show that the constant $C_d$ in the estimate $\|\varphi\|_\infty\le C_d \|H_\psi\|$ grows at least exponentially with $d$; it follows that there is no analogue of Nehari's theorem on the infinite-dimensional polydisc.

En què creu el nostre cervell?

Un dels monuments més vistos pels turistes que van a Barcelona és la Sagrada Família. No és excepció: qualsevol lloc que visitem sens dubte amaga un monument religiós digne de ser vist: el monestir d'El Escorial; el Sagrat Cor de París; els temples hindús d'Ellora; l'estupa budista de Boudhanath a Kàtmandu; el mur de les Lamentacions i la mesquita d'Al-Aqsa a Jerusalem... Per què totes les cultures han tingut i tenen creences religioses, al marge de l'aparent augment de persones que es declaren agnòstiques o atees? És només una construcció cultural o el nostre cervell hi té alguna cosa a veure? I si fos així, tenir creences religioses té algun valor adaptatiu?