Publications

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1703 Publications visible to you, out of a total of 1703

Abstract (Expand)

We introduce a \Z–valued cross ratio on Roller boundaries of \mathrmCAT cube complexes. We motivate its relevance by showing that every cross-ratio preserving bijection of Roller boundaries uniquely extends to a cubical isomorphism. Our results are strikingly general and even apply to infinite dimensional, locally infinite cube complexes with trivial automorphism group.

Authors: Jonas Beyrer, Elia Fioravanti, Merlin Incerti-Medici

Date Published: 2018

Publication Type: Misc

Abstract (Expand)

We show that the notion of 3-hyperconvexity on oriented flag manifolds defines a partial cyclic order. Using the notion of interval given by this partial cyclic order, we construct Schottky groups and show that they correspond to images of positive representations in the sense of Fock and Goncharov. We construct polyhedral fundamental domains for the domain of discontinuity that these groups admit in the projective space or the sphere, depending on the dimension.

Authors: Jean-Philippe Burelle, Nicolaus Treib

Date Published: 2018

Publication Type: Journal

Abstract (Expand)

For a half-translation surface (S,q), the associated \emphsaddle connection complex \A(S,q) is the simplicial complex where vertices are the saddle connections on (S,q), with simplices spanned by setss of pairwise disjoint saddle connections. This complex can be naturally regarded as an induced subcomplex of the arc complex. We prove that any simplicial isomorphism φ\colon \A(S,q) \to \A(S’,q’) between saddle connection complexes is induced by an affine diffeomorphism F \colon (S,q) \to (S’,q’). In particular, this shows that the saddle connection complex is a complete invariant of affine equivalence classes of half-translation surfaces. Throughout our proof, we develop several combinatorial criteria of independent interest for detecting various geometric objects on a half-translation surface.

Authors: Valentina Disarlo, Anja Randecker, Robert Tang

Date Published: 2018

Publication Type: Journal

Abstract

Not specified

Author: Jan-Niklas Dohrke

Date Published: 2018

Publication Type: Bachelor's Thesis

Abstract

Not specified

Authors: Benoit Morel, Tomas Flouri, Alexandros Stamatakis

Date Published: 1st Dec 2017

Publication Type: InProceedings

Abstract (Expand)

Structure-based drug design has often been restricted by the rather static picture of protein–ligand complexes presented by crystal structures, despite the widely accepted importance of protein flexibilityy in biomolecular recognition. Here we report a detailed experimental and computational study of the drug target, human heat shock protein 90, to explore the contribution of protein dynamics to the binding thermodynamics and kinetics of drug-like compounds. We observe that their binding properties depend on whether the protein has a loop or a helical conformation in the binding site of the ligand-bound state. Compounds bound to the helical conformation display slow association and dissociation rates, high-affinity and high cellular efficacy, and predominantly entropically driven binding. An important entropic contribution comes from the greater flexibility of the helical relative to the loop conformation in the ligand-bound state. This unusual mechanism suggests increasing target flexibility in the bound state by ligand design as a new strategy for drug discovery.

Authors: M. Amaral, D. B. Kokh, J. Bomke, A. Wegener, H. P. Buchstaller, H. M. Eggenweiler, P. Matias, C. Sirrenberg, R. C. Wade, M. Frech

Date Published: 1st Dec 2017

Publication Type: Journal

Abstract (Expand)

Open Science is encouraged by the European Union and many other political and scientific institutions. However, scientific practice is proving slow to change. We propose, as early career researchers, that it is our task to change scientific research into open scientific research and commit to Open Science principles.

Authors: Andrea Farnham, Christoph Kurz, Mehmet Ali Öztürk, Monica Solbiati, Oona Myllyntaus, Jordy Meekes, Tra My Pham, Clara Paz, Magda Langiewicz, Sophie Andrews, Liisa Kanninen, Chantal Agbemabiese, Arzu Tugce Guler, Jeffrey Durieux, Sarah Jasim, Olivia Viessmann, Stefano Frattini, Danagul Yembergenova, Carla Marin Benito, Marion Porte, Anaïs Grangeray-Vilmint, Rafael Prieto Curiel, Carin Rehncrona, Tareq Malas, Flavia Esposito, Kristina Hettne

Date Published: 1st Dec 2017

Publication Type: Journal

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