Light Transport in PT-invariant Photonic Structures with Hidden Symmetries

We introduce a recursive bosonic quantization technique for generating classical PT photonic structures that possess hidden symmetries and higher order exceptional points. We study light transport in these geometries and we demonstrate that perfect state transfer is possible only for certain initial conditions. Moreover, we show that for the same propagation direction, left and right coherent transports are not symmetric with field amplitudes following two different trajectories. A general scheme for identifying the conservation laws in such PT-symmetric photonic networks is also presented.

Kernels and Designs for Modelling Invariant Functions: From Group Invariance to Additivity

We focus on kernels incorporating different kinds of prior knowledge on functions to be approximated by Kriging. A recent result on random fields with paths invariant under a group action is generalised to combinations of composition operators, and a characterisation of kernels leading to random fields with additive paths is obtained as a corollary. A discussion follows on some implications on design of experiments, and it is shown in the case of additive kernels that the so-called class of “axis designs” outperforms Latin hypercubes in terms of the IMSE criterion.

The SU(3)-invariant sector of new maximal supergravity

We investigate the SU(3)-invariant sector of the one-parameter family of SO(8) gauged maximal supergravities that has been recently discovered. To this end, we construct the N=2 truncation of this theory and analyse its full vacuum structure. The number of critical point is doubled and includes new N=0 and N=1 branches. We numerically exhibit the parameter dependence of the location and cosmological constant of all extrema. Moreover, we provide their analytic expressions for cases of special interest. Finally, while the mass spectra are found to be parameter independent in most cases, we show that the novel non-supersymmetric branch with SU(3) invariance provides the first counterexample to this.

Defining the role of IL-15 trans-presentation by distinct cell-types during the development and homeostasis of Natural Killer and invariant Natural Killer T cells

The immuno-regulatory functions displayed by NK and iNKT cells have highlighted their importance as key lymphocytes involved in innate and adaptive immunity. Therefore, understanding the dynamics influencing the generation of NK and iNKT cells is extremely important. IL-15 has been shown to provide a critical signal throughout the development and homeostasis of NK and iNKT cells; however, the cellular source of IL-15 has remained unclear. In this investigation, I provide evidence that the cell-type providing IL-15 to NK and iNKT cells via trans-presentation is determined by the tissue site and the maturation status of NK and iNKT cells. For NK cells, I revealed the non-hematopoietic compartment provides IL-15 to NK cells in the early stages of development while hematopoietic cells were crucial for the generation and maintenance of mature NK cells. Regarding iNKT cells in the thymus, IL-15 trans-presentation by non-hematopoietic cells was crucial for the survival of mature iNKT cells. In the liver, both hematopoietic and non-hematopoietic compartments provided IL-15 to both immature and mature iNKT cells. This IL-15 signal helped mediate the survival and proliferation of both NK and iNKT cells as well as induce the functional maturation of mature iNKT cells via enhanced T-bet expression. In conclusion, my work illustrates an important notion that the immunological niche of NK and iNKT cells is tightly regulated and that this regulation is meticulously influenced by the tissue microenvironment.

Transcriptional regulation of the invariant chain associated with MHC class II molecules

The invariant chain associated with the major histocompatibility complex (MHC) class II molecules is a non-polymorphic glycoprotein implicated in antigen processing and class II molecule intracellular transport. Class II molecules and invariant chain (In) are expressed primarily by B lymphocytes and antigen-presenting cells such as macrophages and can be induced by interferon gamma (IFN-$\gamma$) in a variety of cell types such as endothelial cells, fibroblasts, and astrocytes. In this study the cis-acting sequences involved in the constitutive, tissue-specific, and IFN-$\gamma$ induced expression of the human In gene were investigated and nuclear proteins which specifically bound these sequences were identified.^ To define promoter sequences involved in the regulation of the human In gene, 790 bp 5$\sp\prime$ to the initiation of transcription were subcloned upstream of the gene encoding chloramphenicol acetyl transferase (CAT). Transfection of this construct into In expressing and non-expressing cell lines demonstrated that this 790 bp In promoter sequence conferred tissue specificity to the CAT gene. Deletion mutants were created in the promoter to identify sequences important for transcription. Three regulatory regions were identified $-$396 to $-$241, $-$241 to $-$216, and $-$216 to $-$165 bp 5$\sp\prime$ to the cap site. Transfection into a human glioblastoma cell line, U-373 MG, and treatment with IFN-$\gamma$, demonstrated that this 5$\sp\prime$ region is responsive to IFN-$\gamma$. An IFN-$\gamma$ response element was sublocalized to the region $-$120 to $-$61 bp. This region contains homology to the interferon-stimulated response element (ISRE) identified in other IFN responsive genes. IFN-$\gamma$ induces a sequence-specific DNA binding factor which binds to an oligonucleotide corresponding to $-$107 to $-$79 bp of the In promoter. This factor also binds to an oligonucleotide corresponding to $-$91 to $-$62 of the interferon-$\beta$ gene promoter, suggesting this factor may be member of the IRF-1/ISGF2, IRF-2, ICSBP family of ISRE binding proteins. A transcriptional enhancer was identified in the first intron of the In gene. This element, located in a 2.6 kb BamHI/PstI fragment, enhances the IFN-$\gamma$ response of the promoter in U-373 MG. The majority of the In enhancer activity was sublocalized to a 550 bp region $\sim$1.6 kb downstream of the In transcriptional start site. ^

Search for Quantum Black Hole Production in High-Invariant-Mass Lepton plus Jet Final States Using pp Collisions at root s=8 TeV and the ATLAS Detector

This Letter presents a search for quantum black-hole production using 20.3 fb(-1) of data collected with the ATLAS detector in pp collisions at the LHC at root s = 8 TeV. The quantum black holes are assumed to decay into a final state characterized by a lepton (electron or muon) and a jet. In either channel, no event with a lepton-jet invariant mass of 3.5 TeV or more is observed, consistent with the expected background. Limits are set on the product of cross sections and branching fractions for the lepton + jet final states of quantum black holes produced in a search region for invariant masses above 1 TeV. The combined 95% confidence level upper limit on this product for quantum black holes with threshold mass above 3.5 TeV is 0.18 fb. This limit constrains the threshold quantum black-hole mass to be above 5.3 TeV in the model considered.

August: Ein Sonderbund: Der Professor: Ich hasse die böhmischen Swornostmänner ...

Welsch (Projektbearbeiter): Karikaturen auf die politische Übereinstimmung zwischen böhmischen Exilanten und Vertretern der alten Autoritäten in Wien sowie auf die vorherrschend 'schwarz-gelbe' Gesinnung im Wiener Gemeindeausschuß

The Hasse-Minkowski Theorem

The Hasse-Minkowski theorem concerns the classification of quadratic forms over global fields (i.e., finite extensions of Q and rational function fields with a finite constant field). Hasse proved the theorem over the rational numbers in his Ph.D. thesis in 1921. He extended the research of his thesis to quadratic forms over all number fields in 1924. Historically, the Hasse-Minkowski theorem was the first notable application of p-adic fields that caught the attention of a wide mathematical audience. The goal of this thesis is to discuss the Hasse-Minkowski theorem over the rational numbers and over the rational function fields with a finite constant field of odd characteristic. Our treatments of quadratic forms and local fields, though, are more general than what is strictly necessary for our proofs of the Hasse-Minkowski theorem over Q and its analogue over rational function fields (of odd characteristic). Our discussion concludes with some applications of the Hasse-Minkowski theorem.

Ludwig August Wilhelm Hasse

O. Koenen

Johann Adolph Hasse, Brustbild, Profil

Signatur des Originals: S 36/G00067

Faustina Hasse-Bordoni, Brustbild

Signatur des Originals: S 36/G10068

Johann Adolph Hasse, Brustbild

Signatur des Originals: S 36/G01107