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See detailSymmetric Khovanov--Rozansky link homologies
Robert, Louis-Hadrien UL; Wagner, Emmanuel

in Journal de l'École Polytechnique. Mathématiques (2020)

We provide a finite-dimensional categorification of the symmetric evaluation of sl(N)-webs using foam technology. As an output we obtain a symmetric link homology theory categorifying the link invariant ... [more ▼]

We provide a finite-dimensional categorification of the symmetric evaluation of sl(N)-webs using foam technology. As an output we obtain a symmetric link homology theory categorifying the link invariant associated to symmetric powers of the standard representation of sl(N). The construction is made in an equivariant setting. We prove also that there is a spectral sequence from the Khovanov--Rozansky triply graded link homology to the symmetric one and provide along the way a foam interpretation of Soergel bimodules. [less ▲]

Detailed reference viewed: 44 (3 UL)
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See detailSymmetric n-ary superalgebras with skew-symmetric invariant forms
Vishnyakova, Elizaveta UL

E-print/Working paper (2014)

Detailed reference viewed: 43 (0 UL)
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See detailSymmetrien in der Natur. Was sagt uns die Mathematik hierzu
Schlichenmaier, Martin UL

Conference given outside the academic context (2009)

Objekte in der Natur haben meist Formen und Strukturen, die sich durch gewisse Regelmäßigkeiten auszeichnen. Dafür verwendet man oft den vagen Begriff der Symmetrie. Symmetrische Formen werden meist als ... [more ▼]

Objekte in der Natur haben meist Formen und Strukturen, die sich durch gewisse Regelmäßigkeiten auszeichnen. Dafür verwendet man oft den vagen Begriff der Symmetrie. Symmetrische Formen werden meist als schön empfunden. Im Vortrag möchte ich erläutern, wie man den Begriff der Symmetrie mathematisch exakt erfassen kann. An Beispielen möchte ich zeigen, dass bereits einige einfache Annahmen gewisse Formen erzwingen. Aber nicht nur bei der Herausbildung von Formen spielt die Symmetrie eine Rolle. Sie ist ebenfalls ein wichtige Erkenntnismethode in der modernen Theoretischen Physik. [less ▲]

Detailed reference viewed: 73 (1 UL)
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See detailSymmetries and infinite dimensional Lie algebras
Schlichenmaier, Martin UL

in Bartholmé, C.; Connor, T.; Dominicy, Y. (Eds.) et al Notes de la cinquième BSSM (2013)

Detailed reference viewed: 63 (7 UL)
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See detailSymmetry Lie algebra of the two body systems with a Dirac oscillator interaction
del Sol Mesa, Antonio UL

in Revista Mexicana de Física (1995)

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See detailSympathetic activity relates to adenosine A2A receptor gene variation in blood-injury phobia
Hohoff, Christa; Domschke, Katharina; Schwarte, Kathrin et al

in Journal of Neural Transmission (2009), 116

Variation in the candidate genes adenosine A(2A) receptor (A(2A)R), catechol-O-methyl-transferase (COMT), and norepinephrine transporter (NET) has been suggested to influence vulnerability to panic ... [more ▼]

Variation in the candidate genes adenosine A(2A) receptor (A(2A)R), catechol-O-methyl-transferase (COMT), and norepinephrine transporter (NET) has been suggested to influence vulnerability to panic disorder. We therefore investigated patients with another anxiety disorder with an even higher heritability, the blood-injury phobia, for association of these variants and used sympathetic measures during venipuncture, which serve as a naturalistic trigger of anxiety and autonomic hyperarousal, as an intermediate phenotype of anxiety. Patients homozygous for the A(2A)R 1976T allele as compared to patients carrying at least one 1976C allele exhibited a significantly increased respiratory rate with a trend towards elevated measures of systolic and diastolic blood pressure and respiratory minute volume. None of the sympathetic measures were influenced by the COMT or NET polymorphisms.This study provides preliminary data suggesting an influence of the A(2A)R 1976C/T polymorphism on sympathetic psychophysiological indicators of anxiety-related arousal in blood-injury phobia and thereby further supports a role of the A(2A)R gene in the pathogenesis of anxiety disorders. [less ▲]

Detailed reference viewed: 173 (0 UL)
See detailSymplectic Dirac operators: Construction and kernels
La Fuente-Gravy, Laurent UL

Presentation (2018, July 04)

Detailed reference viewed: 48 (1 UL)
See detailSymplectic Galois representations and applications to the inverse Galois problem
Wiese, Gabor UL

Presentation (2013, April 19)

Detailed reference viewed: 30 (0 UL)
See detailSymplectic Galois representations and applications to the inverse Galois problem
Wiese, Gabor UL

Presentation (2012, May 30)

Detailed reference viewed: 36 (0 UL)
See detailSymplectic Galois representations and applications to the inverse Galois problem
Wiese, Gabor UL

Presentation (2012, January 19)

Detailed reference viewed: 40 (0 UL)
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See detailA symplectic map between hyperbolic and complex Teichmüller theory
Krasnov, Kirill; Schlenker, Jean-Marc UL

in Duke Mathematical Journal (2009), 150(2), 331--356

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See detailSymplectic symmetric space realized as co-adjoint orbit
Korvers, Stéphane UL

Presentation (2013, March)

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See detailSymplectic Wick rotations between moduli spaces of 3-manifolds
scarinci, carlos; Schlenker, Jean-Marc UL

in Annali della Scuola Normale Superiore di Pisa: Classe di Scienze (2014)

Given a closed hyperbolic surface $S$, let $\cQF$ denote the space of quasifuchsian hyperbolic metrics on $S\times\R$ and $\cGH_{-1}$ the space of maximal globally hyperbolic anti-de Sitter metrics on $S ... [more ▼]

Given a closed hyperbolic surface $S$, let $\cQF$ denote the space of quasifuchsian hyperbolic metrics on $S\times\R$ and $\cGH_{-1}$ the space of maximal globally hyperbolic anti-de Sitter metrics on $S\times\R$. We describe natural maps between (parts of) $\cQF$ and $\cGH_{-1}$, called ``Wick rotations'', defined in terms of special surfaces (e.g. minimal/maximal surfaces, CMC surfaces, pleated surfaces) and prove that these maps are at least $C^1$ smooth and symplectic with respect to the canonical symplectic structures on both $\cQF$ and $\cGH_{-1}$. Similar results involving the spaces of globally hyperbolic de Sitter and Minkowski metrics are also described. These 3-dimensional results are shown to be equivalent to purely 2-dimensional ones. Namely, consider the double harmonic map $\cH:T^*\cT\to\cTT$, sending a conformal structure $c$ and a holomorphic quadratic differential $q$ on $S$ to the pair of hyperbolic metrics $(m_L,m_R)$ such that the harmonic maps isotopic to the identity from $(S,c)$ to $(S,m_L)$ and to $(S,m_R)$ have, respectively, Hopf differentials equal to $i q$ and $-i q$, and the double earthquake map $\cE:\cT\times\cML\to\cTT$, sending a hyperbolic metric $m$ and a measured lamination $l$ on $S$ to the pair $(E_L(m,l), E_R(m,l))$, where $E_L$ and $E_R$ denote the left and right earthquakes. We describe how such 2-dimensional double maps are related to 3-dimensional Wick rotations and prove that they are also $C^1$ smooth and symplectic. [less ▲]

Detailed reference viewed: 76 (4 UL)
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See detailSymposium "Positive Psychologie III: Soziale Beziehungen"
Baudson, Tanja Gabriele UL; Brohm-Badry, Michaela

Scientific Conference (2018, September 19)

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See detailSymposium: Contextual and life-course determinants of later-life cognitive functioning and dementia
Leist, Anja UL; Muniz-Terrera, Graciela

Scientific Conference (2021, June)

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See detailSymposium: Crossing borders – feeling connected? An exploration of drivers influencing the development of a sense of belonging in the receiving society
Murdock, Elke UL; Albert, Isabelle UL; Decieux, Jean Philippe Pierre UL et al

Scientific Conference (2021, July 08)

Migrants face the complex task of establishing bonds with the receiving society. The development of a sense of belonging is linked to subjective wellbeing. The present panel investigates factors ... [more ▼]

Migrants face the complex task of establishing bonds with the receiving society. The development of a sense of belonging is linked to subjective wellbeing. The present panel investigates factors influencing the development of a sense of belonging. It brings together researchers from four different countries, applying different methodological approaches examining the development of belonging among different migrant groups. Jean Décieux explores the role of cultural distance in the host country adjustment process. Suggesting a multidimensional conceptualization of cultural distance, he presents findings based on recently migrated German nationals (N = 2856) drawn from the German Emigration and Remigration Panel Study (GERPS). The role of cultural distance in negotiating belonging among young migrant women growing up in Germany is the subject of Elke Murdock’s qualitative study. Results point to the important role of parents in the process. How parents’ commitment or lack of commitment affects their children’s construction of their sense of belonging is the focus of Anna Gruszczynska’s qualitative study among immigrant youth in the UK. She shows the fluctuating nature of the pursuit of belonging in time and space. Gry Paulgaard focuses on immigrants arriving in the rural space of Northern Norway. The project explores everyday life practices of refugees taking the materiality of a place as a starting point, acknowledging the interdependency between the social and material contexts for practice. Finally, Isabelle Albert investigates practices by older migrants living in multicultural Luxembourg, their engagement or otherwise in social practices and how this impacts on their sense of belonging. [less ▲]

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See detailSymposium: Early detection and prevention of cognitive decline and dementia: Findings from major European collaborative and research initiatives
Leist, Anja UL

Scientific Conference (2019, May)

With still no medical cure for dementia available, major research initiatives have been set up to investigate and target the development of dementia at earlier stages. Several ongoing projects focus on ... [more ▼]

With still no medical cure for dementia available, major research initiatives have been set up to investigate and target the development of dementia at earlier stages. Several ongoing projects focus on early detection of dementia with the hope to be able to administer personalized interventions for individuals at high risk. Ongoing clinical trials test different interventions on their potential to prevent or delay the onset of dementia. Complementing those efforts, large and long-spanning observational studies can be used to detect long-term precursors of cognitive aging. Indeed, there is increasing evidence for a large window of opportunity for intervention of several decades that could be used for preventative efforts in dementia. The symposium will bring together major European collaborative and research initiatives in the field of early detection and prevention of dementia. The first part of the symposium will present findings from clinical trials, the second part new findings coming from a range of observational studies. The first paper will report on the design and study cohorts of the European Prevention of Alzheimer’s Dementia Consortium (EPAD) and the TriBEKa project. The second paper will focus on new multifactorial models to quantify prevention potential based on the FINGER trial. The third paper will report an integrated analysis of four longitudinal studies of ageing (OCT0, H70, LASA, and MAP) to evaluate the role of cognitively stimulating activities in the transitions from cognitively normal to slightly impaired, severely impaired, and death with multi-state models. The fourth paper will present the contribution of environmental factors over the life course, in particular air pollution, on cognitive change in the Lothian Birth Cohort of 1936. The last paper makes use of recent developments in approaching causal inference in observational studies and applies these to predict cognitive aging and dementia with data from the Survey of Health, Ageing and Retirement in Europe. [less ▲]

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See detailSymposium: Immigrants‘ Acculturation across the Lifespan
Schwarz, Beate; Maehler, Debora; Murdock, Elke UL et al

Scientific Conference (2021, July 28)

Immigrants’ acculturation is a bi-linear process that refer to the orientation towards the host and the ethnic culture. Additionally, acculturation is a multidimensional construct that comprises changes ... [more ▼]

Immigrants’ acculturation is a bi-linear process that refer to the orientation towards the host and the ethnic culture. Additionally, acculturation is a multidimensional construct that comprises changes with respect to practices and behaviors, values and norms, and identity and identification (Schwartz, Unger, Zamboanga, & Szapocznik, 2010). From a developmental perspective, acculturation of first and second-generation immigrants differ remarkably because usually second generation immigrants have more opportunities to interact with representatives of the host culture in a phase of life with high plasticity (Sam & Oppedal, 2003). The symposium wants to gain insight into the complex acculturation processes with four studies that referred to different dimensions of acculturation and including age groups from adolescence to old age. The studies used quantitative and qualitative analyses and variable- as well as person-centered approaches. Starting with adolescence, Maehler provides a meta-analysis on factors that are related to identification with the ethnic and mainstream culture. Murdock and Gales also refer to the identity dimension of acculturation, here among young adults in Germany. With a qualitative approach they identified the role of the parents and the intergenerational relationships for the way how these young adults integrate both identities. In the third study with middle-aged second- generation immigrants in Switzerland, again intergenerational relationships are in the focus. Schwarz and Pfammatter analyzed the association of intergenerational relationships with orientations toward ethnic and mainstream culture. In the last study, Albert and colleagues used a person-centered approach. They investigated the patterns of sense of belonging on a local and national level of older immigrants in Luxembourg and the associations with expectations to stay and well-being. All four studies provide specific insight into the acculturation mechanism that are relevant in different periods of the lifespan. [less ▲]

Detailed reference viewed: 58 (1 UL)