On an upper bound for the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces

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Memòria: estada a London South Bank University (Regne Unit)

Investigación producida a partir de una estancia en la London South Bank University, Reino Unido, entre los meses de setiembre y diciembre del 2005. Se estudia el trabajo sexual en el Reino Unido desde tres perspectivas diferentes. Por una parte, se trata la historia del feminismo anglosajón respecto a sus visiones sobre la prostitución, desde una aproximación a las fuentes. Por otra parte, se plantea la situación jurídico-política. Finalmente, se presenta brevemente a las principales entidades que dan apoyo al colectivo de trabajadoras del sexo en la ciudad de Londres.

Weighted Hardy spaces for the unit disc: approximation properties

In this paper we study basic properties of the weighted Hardy space for the unit disc with the weight function satisfying Muckenhoupt's (Aq) condition, and study related approximation problems (expansion, moment and interpolation) with respect to two incomplete systems of holomorphic functions in this space.

Política de la competència de la Unió Europea en el sector audiovisual. El cas dels operadors públics estatals de televisió a Espanya i el Regne Unit: RTVE i BBC

Estudi elaborat a partir d’una estada al Center for Socio-Legal Studies de la Universitat d’Oxford, Gran Bretanya, entre setembre del 2006 i gener del 2007. L'objectiu d'aquesta recerca ha estat determinar i avaluar com la política de la competència de la Unió Europea ha contribuït a la configuració del sector públic televisiu espanyol i britànic. El marc teòric està basat en el concepte d’ “europeització”, desenvolupat per Harcourt (2002) en el sector de mitjans, i que implica una progressiva referencialitat de les polítiques estatals amb les europees mitjançant dos mecanismes: la redistribució de recursos i els efectes en la socialització de la política europea. Per tal de verificar aquest impacte en el sector televisiu, la recerca ha desenvolupat una aproximació en dues etapes. En primer lloc, a banda de fer un inicial repàs bibliogràfic s'han estudiat les accions de la Comissió Europea en aquest terreny, sobre tot la Comunicació sobre aplicació de la reglamentació d'ajudes públiques al sector de la radiodifusió de 2001. En una segona etapa, s'han desenvolupat un seguit d'entrevistes personals a directius i polítics del sector a Brussel•les, Londres i Madrid. Els resultats de la recerca mostren que el procés d’Europeïtzació es un fenomen creixent en el sector audiovisual públic a Espanya i el Regne Unit, però que encara les peculiaritats estatals juguen un factor preponderant en regular aquesta influència de la UE. L'anàlisi de les entrevistes qualitatives mostren també que hi ha una relació inversament proporcional entre la tradició democràtica i el grau d’influència i de referència que suposa la UE en el sector audiovisual. Mentre que el Regne Unit, l'acció de la política de la competència de la UE es percep com a element suplementari, a Espanya la seva referencialitat ha estat clau, tot i que no decisiva, per la reforma dels mitjans públics estatals.  

New evidence of the real interest rate parity for OECD countries using panel unit root tests with breaks

This paper tests for real interest parity (RIRP) among the nineteen major OECD countries over the period 1978:Q2-1998:Q4. The econometric methods applied consist of combining the use of several unit root or stationarity tests designed for panels valid under cross-section dependence and presence of multiple structural breaks. Our results strongly support the fulfillment of the weak version of the RIRP for the studied period once dependence and structural breaks are accounted for.

The Multiple-partners assignment game with heterogeneous sales and multi-unit demands: competitive equilibria

A multiple-partners assignment game with heterogeneous sales and multiunit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of units. We define a competitive equilibrium for this generalized assignment game and prove its existence by using only linear programming. In particular, we show how to compute equilibrium price vectors from the solutions of the dual linear program associated to the primal linear program defined to find optimal assignments. Using only linear programming tools, we also show (i) that the set of competitive equilibria (pairs of price vectors and assignments) has a Cartesian product structure: each equilibrium price vector is part of a competitive equilibrium with all optimal assignments, and vice versa; (ii) that the set of (restricted) equilibrium price vectors has a natural lattice structure; and (iii) how this structure is translated into the set of agents' utilities that are attainable at equilibrium.

Higher arithmetic Chow groups

We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. The degree zero group agrees with the arithmetic Chow groups of Burgos. Our new construction is shown to be a contravariant functor and is endowed with a product structure, which is commutative and associative.

Singular Bott-Chern classes and the arithmetic Grothendieck-Riemann-Roch theorem for closed immersions

We study the singular Bott-Chern classes introduced by Bismut, Gillet and Soulé. Singular Bott-Chern classes are the main ingredient to define direct images for closed immersions in arithmetic K-theory. In this paper we give an axiomatic definition of a theory of singular Bott-Chern classes, study their properties, and classify all possible theories of this kind. We identify the theory defined by Bismut, Gillet and Soulé as the only one that satisfies the additional condition of being homogeneous. We include a proof of the arithmetic Grothendieck-Riemann-Roch theorem for closed immersions that generalizes a result of Bismut, Gillet and Soulé and was already proved by Zha. This result can be combined with the arithmetic Grothendieck-Riemann-Roch theorem for submersions to extend this theorem to arbitrary projective morphisms. As a byproduct of this study we obtain two results of independent interest. First, we prove a Poincaré lemma for the complex of currents with fixed wave front set, and second we prove that certain direct images of Bott-Chern classes are closed.

An irreducibility criterion for group representations, with arithmetic applications

We prove a criterion for the irreducibility of an integral group representation p over the fraction field of a noetherian domain R in terms of suitably defined reductions of p at prime ideals of R. As applications, we give irreducibility results for universal deformations of residual representations, with a special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.

A survey on recent p-adic integration theories and arithmetic applications

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Is real GDP stationary? Evidence from a panel unit root test with cross-sectional dependence and historical data

We use historical data that cover more than one century on real GDP for industrial countries and employ the Pesaran panel unit root test that allows for cross-sectional dependence to test for a unit root on real GDP. We find strong evidence against the unit root null. Our results are robust to the chosen group of countries and the sample period. Key words: real GDP stationarity, cross-sectional dependence, CIPS test. JEL Classification: C23, E32

Differential time to positivity of blood cultures: a valid method for diagnosing catheter-related bloodstream infections in the intensive care unit

iii. Catheter-related bloodstream infection (CR-BSI) diagnosis usually involves catheter withdrawal. An alternative method for CR-BSI diagnosis is the differential time to positivity (DTP) between peripheral and catheter hub blood cultures. This study aims to validate the DTP method in short-term catheters. The results show a low prevalence of CR-BSI in the sample (8.4%). The DTP method is a valid alternative for CR-BSI diagnosis in those cases with monomicrobial cultures (80% sensitivity, 99% specificity, 92% positive predictive value, and 98% negative predictive value) and a cut-off point of 17.7 hours for positivity of hub blood culture may assess in CR-BSI diagnosis.

The role of the Teaching Quality and Innovation Support Unit in the ICT Engineering Studies at Universitat Pompeu Fabra

One of the strategies of Universitat Pompeu Fabra to support Quality Learning has been the creation of Units for the Support of Teaching Quality and Innovation within each faculty. In the seminar we will present the role and activities of the Polytechnic School Unit in charge or coordinating the efforts towards quality learning in the Information and Communication Technologies (ICT) Engineering Studies. We will also discuss how these activities are informed to relevant academic stakeholders.

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic modular form of weight 2. Moreover, we determine the arithmetic selfintersection number of the line bundle of modular forms equipped with its Petersson metric on a regular model of a Hilbert modular surface, and we study Faltings heights of arithmetic Hirzebruch-Zagier divisors.