Cohomological dimension of Laumon 1-motives up to isogenies

We prove that the category of Laumon 1-motives up isogenies over a field of characteristic zero is of cohomological dimension $\le 1$. As a consequence this implies the same result for the category of formal Hodge structures of level $\le 1$ (over $\mathbb{Q}$).Comment: 11 page

Extensions of Formal Hodge Structures

We define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level $\le n$ following the ideas of L. Barbieri-Viale who discussed the case of level $\le 1$. As an application we describe the generalized Albanese variety of Esnault, Srinivas and Viehweg via the group \Ext^1 in ${\sf FHS}_n$. This formula generalizes the classical one to the case of proper but non necessarily smooth complex varieties.Comment: 23 page

Cycle classes and the syntomic regulator

Let $V=Spec(R)$ and $R$ be a complete discrete valuation ring of mixed characteristic $(0,p)$. For any flat $R$-scheme $X$ we prove the compatibility of the de Rham fundamental class of the generic fiber and the rigid fundamental class of the special fiber. We use this result to construct a syntomic regulator map $r:CH^i(X/V,2i-n)\to H^n_{syn}(X,i)$, when $X$ is smooth over $V$, with values on the syntomic cohomology defined by A. Besser. Motivated by the previous result we also prove some of the Bloch-Ogus axioms for the syntomic cohomology theory, but viewed as an absolute cohomology theory.Comment: 23 pages, improved expositio

Arthur Raper: Modern realist in the New Deal South

Arthur Raper was a progressive sociologist and controversial voice for racial and social equality in the South during the 1920s and 1930s. Son of a white, North Carolina farm family, Raper became allied with modernist voices at Chapel Hill and the University of Chicago. Raper\u27s research was widely discussed through the region and greatly influenced Southern race relations in the years leading to the civil rights movement. Raper was the first white southerner to look critically and scientifically at the causes of racial violence. The Tragedy of Lynching (1933) was reviewed in hundreds of Southern newspapers and discussed throughout the nation. He conducted seminal studies of social relations and the changing culture of rural Georgia in Preface to Peasantry (1936). Sharecroppers All (1941) and Tenants of the Almighty (1943) documented the debilitating effects of traditional racial and economic policies on the South\u27s rural farm families, both black and white. Raper contributed significantly to Gunnar Myrdal\u27s An American Dilemma (1944), the single most influential study of U.S. race relations. Raper\u27s work demonstrated the social and civil-rights activism that flourished among engaged intellectuals during the New Deal era. He participated in numerous liberal organizations and events from the 1920s to the 1940s, working for the Council on Interracial Cooperation and participating in the Southern Council on Human Welfare, organizing union members and studying rural agriculture. Throughout his life, Raper believed the key to economic and agricultural prosperity was joining a focus on local cultures and economies with federal planning and assistance. After World War II, Raper worked on the reconstruction of Japan, the success of which he recognized as the fullest application of liberal, New-Deal principles. At the height of the Cold War, he worked for the U.S. in Asia, Africa, and the Middle East, promoting the same mix of government planning and local control he had practiced in the New Deal South. Raper became an ardent advocate, throughout the Third World, of a liberal, modern version of Jeffersonian democracy

Cohomological dimension of Laumon 1-motives up to isogenies

11 pagesInternational audienceWe prove that the category of Laumon 1-motives up isogenies over a field of characteristic zero is of cohomological dimension $\le 1$. As a consequence this implies the same result for the category of formal Hodge structures of level $\le 1$ (over $\mathbb{Q}$)

Extensions of Formal Hodge Structures

23 pagesInternational audienceWe define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level $\le n$ following the ideas of L. Barbieri-Viale who discussed the case of level $\le 1$. As an application we describe the generalized Albanese variety of Esnault, Srinivas and Viehweg via the group \Ext^1 in ${\sf FHS}_n$. This formula generalizes the classical one to the case of proper but non necessarily smooth complex varieties

Figurações do "mal" e do "maligno" no Grande sertão: veredas

Este texto constitui o segundo capítulo de um estudo sobre a trajetória de Riobaldo em sua oscilação entre o pacto fáustico e a tradição do chamado "romance de formação e desenvolvimento" (Bildungs- und Entwicklungsroman). Partindo de um trecho do romance O homem sem qualidades em que Musil discute os obstáculos que se colocam à arte da narrativa no século XX (antecipando reflexões teóricas de Adorno, Auerbach, Rosenfeld etc.), o estudo enfoca, no primeiro capítulo, traços do Grande sertão que o vinculariam a um épico mais primitivo. Também se estabelecem aqui algumas relações com o Doutor Fausto de Thomas Mann, romance que tem igualmente no pacto demoníaco o seu motivo nuclear. Quanto ao presente texto, está voltado às formas e imagens que o relato de Riobaldo dispensa aos conceitos de "mal" e de "maligno" (assim como ao seu entrelaçamento). Em seguida, enfoca a personagem de Hermógenes, que encarna uma espécie de principium maleficum que dificilmente encontra paralelo na literatura ocidental. Para expor essa especificidade da personagem rosiana, o estudo procede por fim a uma comparação com a representação do Mal (e sua correspondente personagem) no romance barroco Simplicissimus, de Grimmelshausen.This text represents the second chapter of a study on Robaldo's trajectory during his oscilation between the faustian bargain and the tradition of the so-called "Bildungsroman" (Bildungs - und Entwicklungsroman). Taking an excerpt of the novel The Man Without Qualities, in which Musil discusses the obstacles imposed on 20th century narrative art, as a starting point (and putting forth theorethical reflections by Adorno, Auerbach, Rosenfeld etc.), the essay focuses, in the first chapter, on the features of Guimarães Rosa's novel The Devil to Pay in the Backlands that would connect it to a more primitive epic. Here, some relationships with Thomas Mann's Doctor Faustus, which also has the diabolic pact as a central motif, are established. As to the present text, it is directed towards the shapes and images that Riobaldo's report gives to the concepts of "evil" and "devil" (as well as their interminglement). Then, it focuses on the character Hermógenes, who embodies a kind of principium maleficum, which can hardly find a parallel in Western literature. In order to expose this specifity of the Rosian character, the study goes on to a comparision with the representation of Evil (and its corresponding character) in Grimmelshausen's barroque novel, Simplicissimus

Detection of Specific Biological Antigens using AC Electrochemical Impedance Spectroscopy

When certain antigens are present in our environment, a rapid, on-site, accurate, selective, and repeatable detection method can be invaluable in preventing illness or saving lives. Rapid detection of these antigens is important to avert spreading infections. Currently, capturing a sample and sending it to a laboratory can take weeks to get results, which can be much too long. Conventional sensing methodologies include various electrical measurements as capacitive, potentiometric, piezoelectric, surface plasmon resonance (SPR), and quartz crystal microbalance (QCM). Of particular power and interest is Alternating Current (AC) Electrochemical Impedance Spectroscopy (EIS) which provides for the characterization of the electrical properties of many biological interfaces without biological destruction or interference. The application of unique detection techniques of the latter, in this dissertation, resulted in high selectivity and sensitivity even with the presence of non-specific contaminants. Prior to this work, the measurement media was a liquid. However, a particularly formidable task has remained of detection of unlabeled antigens in air. EIS, a powerful technique for identifying electrode surface molecular reactions by measuring the electrical characteristics of the resultants over a frequency spectrum, was employed to detect impedance changes at the formation of an antibody-antigen conjugate. A new gel was developed capable of keeping antibodies active for extended periods of time, and also capturing antigens from the air. Another development was attaching the self-assembling monolayer, 3-MPTS (3-mercaptopropyl)trimethoxysilane, onto gold nanopdissertations to create a unique active electrode. The primary purpose of this dissertation work was to prove the concept of being able to capture a specific (to the antibody) antigen in the air, conjugate it with a specially coated non-dry electrode, and rapidly characterize the reaction with EIS. This work was the first to successfully accomplish this detection task utilizing a novel colloidal gold nanopdissertation electrode, an active antibody, IgG, and a novel modified hydrogel