Donaldson-Thomas invariants and wall-crossing formulas

Notes from the report at the Fields institute in Toronto. We introduce the Donaldson-Thomas invariants and describe the wall-crossing formulas for numerical Donaldson-Thomas invariants.Comment: 18 pages. To appear in the Fields Institute Monograph Serie

Public Disclosure of Tax Strategies and Firm’s Actual Tax Policy

We use a sample of 248 tax strategies published by U.K. companies listed on the Financial Times Stock Exchange (FTSE) 100 and FTSE 250 to examine (a) how companies present themselves—more as “responsible taxpayers” who view taxes as a meaningful contribution to society, or more as “tax planners” who view taxes primarily as a cost, and (b) whether these presentations correspond to actual tax avoidance behavior. Our results show that, on average, firms tend to portray themselves as “responsible taxpayers,” but that this portrayal is consistent with firms’ tax avoidance behavior only when firms are subject to above-average external monitoring by financial analysts. The results suggest that firms manage the content of qualitative tax disclosures to sway public opinion as long as the probability of detecting misstatements is sufficiently low. This raises doubts as to whether mandatory qualitative information provides added value for stakeholders if it is not under external review. JEL Classification: H25; H20; M40; M48

Degenerate flag varieties: moment graphs and Schr\"oder numbers

We study geometric and combinatorial properties of the degenerate flag varieties of type A. These varieties are acted upon by the automorphism group of a certain representation of a type A quiver, containing a maximal torus T. Using the group action, we describe the moment graphs, encoding the zero- and one-dimensional T-orbits. We also study the smooth and singular loci of the degenerate flag varieties. We show that the Euler characteristic of the smooth locus is equal to the large Schr\"oder number and the Poincar\'e polynomial is given by a natural statistics counting the number of diagonal steps in a Schr\"oder path. As an application we obtain a new combinatorial description of the large and small Schr\"oder numbers and their q-analogues.Comment: 25 page

Плазменное нанесение керамических покрытий на детали ядерных энергетических установок

На наружную поверхность силовой герметичной оболочки РИТ наносится защитное покрытие, состоящее из следующих слоев W, Al2O3, MoSi2. Необходимость применения керамического покрытия на внешней оболочке РИТ из жаропрочных материалов объясняется коррозионной, окислительной стойкостью данных покрытий в условиях потенциальных аварий РИТЭГ. Метод нанесения керамического покрытия – плазменный, с помощью электродугового плазмотрона с газовихревой стабилизацией дугового разряда.A protective coating consisting of the following layers W, Al2O3, MoSi2 is applied to the outer surface of the power sealed shell of RIT. The need to use a ceramic coating on the outer shell of a radioisotope heat source from heat-resistant materials is explained by the corrosion, oxidative resistance of these coatings in the conditions of potential accidents of RTG. The method of applying ceramic coating is plasma, using an electric arc plasma torch with gas-vortex stabilization of the arc discharge

Untersuchungen zur Populationsgenetik der Minderempfindlichkeit des Apfelwicklers gegenüber Cydia pomonella Granulovirus (CpGV)

The Codling moth granulovirus (Cydia pomonella granulovirus, CpGV, Baculoviridae) is one of the most important bio control agents of the codling moth in apple production. Since 2003, codling moth populations have been observed in Germany and France, which show an up to thousand fold decreased susceptibility to CpGV. A spread of this phenomenon is a severe threat to the efficient control of the codling moth, particularly in organic farming. In order to prevent this development, investigations on the popula-tion genetics of codling moth populations in Germany were initiated to assess the baseline susceptibilities of selected populations. Furthermore, the genetic and biologi-cal background of resistance of the codling moth to CpGV are being elucidated by crossing susceptible and low susceptible codling moth populations. These investiga-tions will help to develop new control strategies or to restore high susceptibility to-wards CpGV. Mapping of traits involved in resistance will be performed. Involved loci will be identi-fied with the help of amplified fragment length polymorphism (AFLP). Loci coupled with susceptibility can help to elucidate resistance mechanisms. Analysis of comple-mentary DNA amplified fragment length polymorphism (cDNA-AFLP) will be per-formed to display differences in expression rate of particular genes. If there are differ-ences between sensitive and non-sensitive strains, the genes will be isolated and sequenced. Putative sequence homologies give the direction of the functional sense of the mentioned gene and further conclusion of the mechanisms of the susceptibility of CpGV

Cluster structures on quantum coordinate rings

We show that the quantum coordinate ring of the unipotent subgroup N(w) of a symmetric Kac-Moody group G associated with a Weyl group element w has the structure of a quantum cluster algebra. This quantum cluster structure arises naturally from a subcategory C_w of the module category of the corresponding preprojective algebra. An important ingredient of the proof is a system of quantum determinantal identities which can be viewed as a q-analogue of a T-system. In case G is a simple algebraic group of type A, D, E, we deduce from these results that the quantum coordinate ring of an open cell of a partial flag variety attached to G also has a cluster structure.Comment: v2: minor corrections. v3: references updated, final version to appear in Selecta Mathematic

Effects of separated pair housing of female C57BL/6JRj mice on well-being

In laboratory animal facilities, it is a common code of practice to house female mice in groups. However, some experimental conditions require to house them individually, even though social isolation may impair their well-being. Therefore, we introduced a separated pair housing system and investigated whether it can refine single housing of adult female C57BL/6JRj mice. Individually ventilated cages (IVC) were divided by perforated transparent walls to separate two mice within a cage. The cage divider allowed visual, acoustic, and olfactory contact between the mice but prevented interindividual body-contact or food sharing. Short- and long-term effects of the separated pair housing system on the well-being of the mice were compared with single and group housing using a range of behavioral and physiological parameters: Nest building behavior was assessed based on the complexity of nests, the burrowing performance was measured by the amount of food pellets removed from a bottle, and trait anxiety-related behavior was tested in the free exploratory paradigm. For the evaluation of the ease of handling, interaction with the experimenter's hand was monitored. Social interaction with unknown conspecifics and locomotor activity were investigated in a test arena. Moreover, body weight and stress hormone (metabolites) were measured in feces and hair. After the mice spent a day under the respective housing conditions, concentrations of fecal corticosterone metabolites were higher in separated pair-housed mice, and they built nests of a higher complexity when compared to single-housed mice. The latter effect was still observable eight weeks later. In week 8, separated pair-housed mice showed less locomotor activity in the social interaction arena compared to mice from the other housing systems, i.e., single and group housing. Regardless of the time of testing, pair housing improved the burrowing performance. Separated pair-housed mice were more difficult to catch than group-housed mice. Hair corticosterone, progesterone, and dehydroepiandrosterone concentrations changed with increasing age independently of the housing system. There were no effects of the housing systems on trait anxiety-related behavior in the free exploratory paradigm, voluntary interaction with the experimenter's hand, and body weight. Overall, the transfer to the separated pair housing system caused short-term stress responses in female C57BL/6JRj mice. Long-term effects of separated pair housing were ambiguous. On one hand, separated pair housing increased nesting and burrowing behavior and may therefore be beneficial compared to single housing. But on the other hand, locomotor activity decreased. The study underlined that the effects of the housing conditions on physiological and behavioral parameters should be considered when analyzing and reporting animal experiments

Multiple infarcted regenerative nodules in liver cirrhosis after decompensation of cirrhosis: a case series

These patients showed focal liver lesions, to be considered in the differential diagnosis of cirrhotic livers. Infarcted regenerative nodules may be underdiagnosed in patients with decompensation of cirrhosis. In order to differentiate these lesions from malignant tumors, serial imaging seems to be helpful. However, the main differential diagnosis should be an abscess. It is important to know the wide spectrum of image appearances of these lesions. Hypotension can lead to a reduction of portal and arterial liver flow. Since variceal bleeding or septic shock can induce hypotension - as observed in our patients - we conclude that this leads to infarction of such nodules