TY - JOUR AB - We count points over a finite field on wild character varieties,of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the possibility of a P = W conjecture for a suitable wild Hitchin system. AU - Hausel, Tamas AU - Mereb, Martin AU - Wong, Michael ID - 439 IS - 10 JF - Journal of the European Mathematical Society TI - Arithmetic and representation theory of wild character varieties VL - 21 ER - TY - JOUR AB - Clinical Utility Gene Card. 1. Name of Disease (Synonyms): Pontocerebellar hypoplasia type 9 (PCH9) and spastic paraplegia-63 (SPG63). 2. OMIM# of the Disease: 615809 and 615686. 3. Name of the Analysed Genes or DNA/Chromosome Segments: AMPD2 at 1p13.3. 4. OMIM# of the Gene(s): 102771. AU - Marsh, Ashley AU - Novarino, Gaia AU - Lockhart, Paul AU - Leventer, Richard ID - 105 JF - European Journal of Human Genetics TI - CUGC for pontocerebellar hypoplasia type 9 and spastic paraplegia-63 VL - 27 ER - TY - JOUR AB - We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well-posedness and L1-contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators Δ(|u|m−1u) for all m∈(1,∞), and Hölder continuous diffusion nonlinearity with exponent 1/2. AU - Dareiotis, Konstantinos AU - Gerencser, Mate AU - Gess, Benjamin ID - 65 IS - 6 JF - Journal of Differential Equations TI - Entropy solutions for stochastic porous media equations VL - 266 ER - TY - JOUR AB - Microalgae of the genus Chlorella vulgaris are candidates for the production of lipids for biofuel production. Besides that, Chlorella vulgaris is marketed as protein and vitamin rich food additive. Its potential as a novel expression system for recombinant proteins inspired us to study its asparagine-linked oligosaccharides (N-glycans) by mass spectrometry, chromatography and gas chromatography. Oligomannosidic N-glycans with up to nine mannoses were the structures found in culture collection strains as well as several commercial products. These glycans co-eluted with plant N-glycans in the highly shape selective porous graphitic carbon chromatography. Thus, Chlorella vulgaris generates oligomannosidic N-glycans of the structural type known from land plants and animals. In fact, Man5 (Man5GlcNAc2) served as substrate for GlcNAc-transferase I and a trace of an endogenous structure with terminal GlcNAc was seen. The unusual more linear Man5 structure recently found on glycoproteins of Chlamydomonas reinhardtii occurred - if at all - in traces only. Notably, a majority of the oligomannosidic glycans was multiply O-methylated with 3-O-methyl and 3,6-di-O-methyl mannoses at the non-reducing termini. This modification has so far been neither found on plant nor vertebrate N-glycans. It’s possible immunogenicity raises concerns as to the use of C. vulgaris for production of pharmaceutical glycoproteins. AU - Mócsai, Réka AU - Figl, Rudolf AU - Troschl, Clemens AU - Strasser, Richard AU - Svehla, Elisabeth AU - Windwarder, Markus AU - Thader, Andreas AU - Altmann, Friedrich ID - 5907 IS - 1 JF - Scientific Reports TI - N-glycans of the microalga Chlorella vulgaris are of the oligomannosidic type but highly methylated VL - 9 ER - TY - JOUR AB - The interorganelle communication mediated by membrane contact sites (MCSs) is an evolutionary hallmark of eukaryotic cells. MCS connections enable the nonvesicular exchange of information between organelles and allow them to coordinate responses to changing cellular environments. In plants, the importance of MCS components in the responses to environmental stress has been widely established, but the molecular mechanisms regulating interorganelle connectivity during stress still remain opaque. In this report, we use the model plant Arabidopsis thaliana to show that ionic stress increases endoplasmic reticulum (ER)–plasma membrane (PM) connectivity by promoting the cortical expansion of synaptotagmin 1 (SYT1)-enriched ER–PM contact sites (S-EPCSs). We define differential roles for the cortical cytoskeleton in the regulation of S-EPCS dynamics and ER–PM connectivity, and we identify the accumulation of phosphatidylinositol 4,5-bisphosphate [PI(4,5)P2] at the PM as a molecular signal associated with the ER–PM connectivity changes. Our study highlights the functional conservation of EPCS components and PM phosphoinositides as modulators of ER–PM connectivity in eukaryotes, and uncovers unique aspects of the spatiotemporal regulation of ER–PM connectivity in plants. AU - Lee, Eunkyoung AU - Vanneste, Steffen AU - Pérez-Sancho, Jessica AU - Benitez-Fuente, Francisco AU - Strelau, Matthew AU - Macho, Alberto P. AU - Botella, Miguel A. AU - Friml, Jiří AU - Rosado, Abel ID - 5908 IS - 4 JF - Proceedings of the National Academy of Sciences of the United States of America TI - Ionic stress enhances ER–PM connectivity via phosphoinositide-associated SYT1 contact site expansion in Arabidopsis VL - 116 ER - TY - JOUR AB - Pollinators display a remarkable diversity of foraging strategies with flowering plants, from primarily mutualistic interactions to cheating through nectar robbery. Despite numerous studies on the effect of nectar robbing on components of plant fitness, its contribution to reproductive isolation is unclear. We experimentally tested the impact of different pollinator strategies in a natural hybrid zone between two subspecies of Antirrhinum majus with alternate flower colour guides. On either side of a steep cline in flower colour between Antirrhinum majus pseudomajus (magenta) and A. m. striatum (yellow), we quantified the behaviour of all floral visitors at different time points during the flowering season. Using long-run camera surveys, we quantify the impact of nectar robbing on the number of flowers visited per inflorescence and the flower probing time. We further experimentally tested the effect of nectar robbing on female reproductive success by manipulating the intensity of robbing. While robbing increased over time the number of legitimate visitors tended to decrease concomitantly. We found that the number of flowers pollinated on a focal inflorescence decreased with the number of prior robbing events. However, in the manipulative experiment, fruit set and fruit volume did not vary significantly between low robbing and control treatments. Our findings challenge the idea that robbers have a negative impact on plant fitness through female function. This study also adds to our understanding of the components of pollinator-mediated reproductive isolation and the maintenance of Antirrhinum hybrid zones. AU - Andalo, Christophe AU - Burrus, Monique AU - Paute, Sandrine AU - Lauzeral, Christine AU - Field, David ID - 5680 IS - 1 JF - Botany Letters SN - 23818107 TI - Prevalence of legitimate pollinators and nectar robbers and the consequences for fruit set in an Antirrhinum majus hybrid zone VL - 166 ER - TY - JOUR AB - The partial representation extension problem is a recently introduced generalization of the recognition problem. A circle graph is an intersection graph of chords of a circle. We study the partial representation extension problem for circle graphs, where the input consists of a graph G and a partial representation R′ giving some predrawn chords that represent an induced subgraph of G. The question is whether one can extend R′ to a representation R of the entire graph G, that is, whether one can draw the remaining chords into a partially predrawn representation to obtain a representation of G. Our main result is an O(n3) time algorithm for partial representation extension of circle graphs, where n is the number of vertices. To show this, we describe the structure of all representations of a circle graph using split decomposition. This can be of independent interest. AU - Chaplick, Steven AU - Fulek, Radoslav AU - Klavík, Pavel ID - 5790 IS - 4 JF - Journal of Graph Theory SN - 03649024 TI - Extending partial representations of circle graphs VL - 91 ER - TY - JOUR AB - We investigate the quantum Jensen divergences from the viewpoint of joint convexity. It turns out that the set of the functions which generate jointly convex quantum Jensen divergences on positive matrices coincides with the Matrix Entropy Class which has been introduced by Chen and Tropp quite recently. AU - Virosztek, Daniel ID - 405 JF - Linear Algebra and Its Applications TI - Jointly convex quantum Jensen divergences VL - 576 ER - TY - JOUR AB - An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points. AU - Browning, Timothy D AU - Loughran, Daniel ID - 175 IS - 8 JF - Transactions of the American Mathematical Society SN - 00029947 TI - Sieving rational points on varieties VL - 371 ER - TY - JOUR AB - We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition. AU - Gerencser, Mate AU - Hairer, Martin ID - 319 IS - 3-4 JF - Probability Theory and Related Fields SN - 01788051 TI - Singular SPDEs in domains with boundaries VL - 173 ER -