Around the tangent cone theorem

A cornerstone of the theory of cohomology jump loci is the Tangent Cone theorem, which relates the behavior around the origin of the characteristic and resonance varieties of a space. We revisit this theorem, in both the algebraic setting provided by cdga models, and in the topological setting provided by fundamental groups and cohomology rings. The general theory is illustrated with several classes of examples from geometry and topology: smooth quasi-projective varieties, complex hyperplane arrangements and their Milnor fibers, configuration spaces, and elliptic arrangements.Comment: 39 pages; to appear in the proceedings of the Configurations Spaces Conference (Cortona 2014), Springer INdAM serie

Safety of Primary Anastomosis in Emergency Colo-Rectal Surgery

Abstract: The surgical management of left-sided large bowel emergency patients remains controversial. There has been an increasing trend towards primary reconstructive surgery. The main dilemma remains appropriate patient selection for primary anastomosis. The records of 323 patients who presented as acute emergencies and underwent surgery between January 1990 and December 2000 for left-sided colorectal cancer and diverticular disease were reviewed, to compare the outcome of resection and primary anastomosis with Hartmann's procedure. Patients were stratified into 3 groups according to whether the presentation was with localized or generalized peritonitis, or with obstruction. Resection and anastomosis was carried out in 176 (55.7%) patients with a 30-day mortality of 5.7%. Anastomotic dehiscence occurred in 9 (5.1%) patients, with no difference between the three groups. Wound sepsis occurred in 8 (4.5%) patients, and the median hospital stay was 13 days. Hartmann's resection was associated with a higher incidence of systemic and surgical morbidity (39.5% and 24.3%, respectively). The mortality rates in those selected for primary anastomosis (5.7%) compared favourably with those undergoing Hartmann's resections (20.4%) (P < 0.001). Emergency primary anastomosis in left-sided disease can be performed with a low morbidity and mortality in selected patients, even in the presence of a free perforation with diffuse peritonitis. Patients selected for staged resection, were those with major comorbid disease

Effervescence in champagne and sparkling wines: From bubble bursting to droplet evaporation

International audienceWhen a bubble reaches an air-liquid interface, it ruptures, projecting a multitude of tiny droplets in the air. Across the oceans, an estimated 1018 to 1020 bubbles burst every second, and form the so called sea spray, a major player in earth's climate system. At a smaller scale, in a glass of champagne about a million bubbles nucleate on the wall, rise towards the surface and burst, giving birth to a particular aerosol that holds a concentrate of wine aromas. Based on the model experiment of a single bubble bursting in simple liquids, we depict each step of this effervescence, from bubble bursting to drop evaporation. In particular, we propose simple scaling laws for the jet velocity and the top drop size. We unravel experimentally the intricate roles of bubble shape, capillary waves, gravity, and liquid properties in the jet dynamics and the drop detachment. We demonstrate how damping action of viscosity produces faster and smaller droplets and more generally how liquid properties enable to control the bubble bursting aerosol characteristics. In this context, the particular case of Champagne wine aerosol is studied in details and the key features of this aerosol are identified. We demonstrate that compared to a still wine, champagne fizz drastically enhances the transfer of liquid into the atmosphere. Conditions on bubble radius and wine viscosity that optimize aerosol evaporation are provided. These results pave the way towards the fine tuning of aerosol characteristics and flavor release during sparkling wine tasting, a major issue of the sparkling wine industry

EuCAPT White Paper: Opportunities and Challenges for Theoretical Astroparticle Physics in the Next Decade

Astroparticle physics is undergoing a profound transformation, due to a series of extraordinary new results, such as the discovery of high-energy cosmic neutrinos with IceCube, the direct detection of gravitational waves with LIGO and Virgo, and many others. This white paper is the result of a collaborative effort that involved hundreds of theoretical astroparticle physicists and cosmologists, under the coordination of the European Consortium for Astroparticle Theory (EuCAPT). Addressed to the whole astroparticle physics community, it explores upcoming theoretical opportunities and challenges for our field of research, with particular emphasis on the possible synergies among different subfields, and the prospects for solving the most fundamental open questions with multi-messenger observations

EuCAPT White Paper: Opportunities and Challenges for Theoretical Astroparticle Physics in the Next Decade

Astroparticle physics is undergoing a profound transformation, due to a series of extraordinary new results, such as the discovery of high-energy cosmic neutrinos with IceCube, the direct detection of gravitational waves with LIGO and Virgo, and many others. This white paper is the result of a collaborative effort that involved hundreds of theoretical astroparticle physicists and cosmologists, under the coordination of the European Consortium for Astroparticle Theory (EuCAPT). Addressed to the whole astroparticle physics community, it explores upcoming theoretical opportunities and challenges for our field of research, with particular emphasis on the possible synergies among different subfields, and the prospects for solving the most fundamental open questions with multi-messenger observations