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- ItemMini-Workshop: Attraction to Solitary Waves and Related Aspects of Physics(Zürich : EMS Publ. House, 2008) Comech, Andrew; Komech, Alexander; Vainberg, Boris[no abstract available]
- ItemLow-dimensional Topology(Zürich : EMS Publ. House, 2020) Moriah, Yoav; Purcell, Jessica; Schleimer, SaulThe workshop brought together experts from across all areas of low-dimensional topology, including knot theory, mapping class groups, three-manifolds and four-manifolds. In addition to the standard research talks we had five survey talks by Burton, Minsky, Powell, Reid, and Roberts leading to discussions of open problems. Furthermore we had three sessions of five-minute talks by a total of thirty-five participants.
- ItemTopological and Geometric Combinatorics(Zürich : EMS Publ. House, 2011) Kalai, Gil; Novik, Isabella; Ziegler, Günter M.The 2011 Oberwolfach meeting “Topological and Geometric Combinatorics” was organized by Anders Björner (Stockholm), Gil Kalai (Jerusalem), Isabella Novik (Seattle), and Günter M. Ziegler (Berlin). It covered a wide variety of aspects of Discrete Geometry, Topological Combinatorics, and Geometric Topology. Some of the highlights of the conference included (1) counterexamples to the Hirsch conjecture, (2) the latest results around the colored Tverberg theorem, and (3) recent developments on the complexity of the simplex algorithm.
- ItemNoncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples(Zürich : EMS Publ. House, 2010) Marcolli, Matilde; Nest, RyszardSpectral triples have recently turned out to be relevant for different approaches that aim at quantizing gravity and the other fundamental forces of nature in a mathematically rigorous way. The purpose of this workshop was to bring together researchers mainly from noncommutative geometry and loop quantum gravity –two major fields that have used spectraltriples independently so far– in order to share their results and open issues.
- ItemMini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory(Zürich : EMS Publ. House, 2018) Krause, Henning; Stojanoska, VesnaThis mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, fostering the study of the local and global structure of the fundamental categories appearing in algebraic geometry, homotopy theory, and representation theory. The workshop started with introductory talks to bring researches from different backgrounds to the same page, and later highlighted recent progress in these areas with an emphasis on the interdisciplinary nature of the results and structures found. Moreover, new directions were explored in focused group work throughout the week, as well as in an evening discussion identifying promising long-term goals in the subject. Topics included support theories and their applications to the classification of localizing ideals in triangulated categories, equivariant and homotopical enhancements of important structural results, descent and Galois theory, numerous notions of duality, Picard and Brauer groups, as well as computational techniques.
- ItemRepresentation Theory of Quivers and Finite Dimensional Algebras(Zürich : EMS Publ. House, 2014) Iyama, Osamu; Keller, Bernhard; Krause, HenningMethods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, commutative algebra, algebraic geometry and topology, and in particular the new theory of cluster algebras. The aim of this workshop was to further develop such interactions and to stimulate progress in the representation theory of algebras.
- ItemMini-Workshop: Mathematical Methods and Models of Continuum Biomechanics(Zürich : EMS Publ. House, 2005) Saccomandi, GuiseppeThe workshop Mathematical Methods and Models of Continuum Biomechanics focused on skills and tools providing a rational approach for integrating data that reductionist and molecular approaches in modern biological and medical science has recently provided. The workshop has provided contributions that brought together experts from the (bio-)mechanics and applied mathematics communities in order to highlight the mathematical needs and challenges especially in the fields of soft tissues and DNA mechanics.
- ItemNon-Archimedean Geometry and Applications(Zürich : EMS Publ. House, 2019) Gubler, Walter; Schneider, Peter; Werner, AnnetteThe workshop focused on recent developments in non-Archimedean analytic geometry with various applications to other fields. The topics of the talks included applications to complex geometry, mirror symmetry, p-adic Hodge theory, tropical geometry, resolution of singularities, p-adic dynamical systems and diophantine geometry.
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- ItemLanglands Correspondence and Constructive Galois Theory(Zürich : EMS Publ. House, 2014) Heinloth, Jochen; Yun, ZhiweiRecent progress in the Langlands programm provides a significant step towards the understanding of the arithmetic of global fields. The geometric Langlands program provides a systematic way to construct l-adic sheaves (resp. D-modules) on algebraic curves which subsumes the construction of classical sheaves, like rigid local systems, used in inverse Galois theory (by Belyi, Malle, Matzat, Thompson, Dettweiler, Reiter) for the construction of field extension of the rational function fields $\mathbb F_p(t)$ or $\mathbb Q(t)$ (recent work of Heinloth, Ngo, Yun and Yun). On the other hand, using Langlands correspondence for the field $\mathbb Q$, Khare, Larsen and Savin constructed many new automorphic representations which lead to new Galois realizations for classical and exceptional groups over $\mathbb Q$. It was the aim of the workshop, to bring together the experts working in the fields of Langlands correspondence and constructive Galois theory.