Konferenzen zum Thema Algebra in Deutschland

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The theory of subfactors of von Neumann factors, founded by Fields Medalist Vaughan Jones, is an exciting and extremely active area of mathematics that has profound connections with low dimensional topology, group theory, conformal field theory, statistical mechanics, quantum information theory and many others. At the heart of these interactions lies a surprising world of quantum symmetries that subfactors seem particularly suitable at capturing. New links between subfactor theory and quantum computing have recently been established as well.

The workshop aims at bringing together experts from these different areas to learn from each other, discuss problems and present new ideas at the frontier of these exciting developments.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Recent progress in the study of BPS states in string theory and in supersymmetric field theories, as well as on the theory of topological recursion, gives hints towards profound connections with the exact WKB method from the mathematical study of differential equations with a large parameter, and the abelianisation of flat connections on Riemann surfaces. The goals of our workshop are to bring together some leading experts in the field to stimulate the interactions between these lines of research, and to introduce young researchers and PhD students to attractive topics of current research with a rich potential for further developments.

BPS states, topological recursion, exact WKB and abelianisation

Geometrie und Topologie,    Analysis

RWTH Aachen

Freie Universität Berlin, Institute of Mathematics

This will be a short workshop with lectures, presentations and informal discussions on polytopes and their relations to algebraic geometry. It is funded by the Einstein Foundation Berlin. It is one of the activities in the thematic Einstein semester Varieties Polyhedra and Computations (http://ehrhart.math.fu-berlin.de/agplus/).

polytopes, algebraic geometry, toric geometry, tropical geometry, Ehrhart theory, triangulations

Geometrie und Topologie,    Graphentheorie und Kombinatorik

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The winter school will present two incarnations of the implicit function theorem to master and PhD students: the implicit function theorem of Nash and Moser, and the implicit function theorem in scale calculus and polyfold-theory as developed by Hofer, Wysocki and Zehnder. There will be two mini-courses on the theoretical framework of each incarnation which will be complemented by talks on classical and current applications to analysis and geometry.

Kurse und Veranstaltungen für Physikstudenten,    Geometrie und Topologie

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Geometrie und Topologie,    Numerische Analysis

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Universität Paderborn - Institut für Mathematik

The theme of the conference is reductive groups in a broad sense, i.e. we intend to have talks on harmonic analysis, representation theory, automorphic forms, geometry and ergodic theory.

Hausdorff Center for Mathematics (hcm)

The Circle Method emerged one hundred years ago from ideas of Ramanujan, Hardy and Littlewood, and quickly became the most powerful analytic method for counting solutions to Diophantine equations. As the Circle Method enters its second century, new work is making significant advances both in strengthening results in classical Diophantine settings, and in demonstrating applications in novel settings. This includes function field, number field, adelic, geometric, and harmonic analytic applications, with striking consequences in areas such as ergodic theory, subconvexity for L -functions, and the Langlands program. This summer school for graduate students and postdocs will present accessible lecture series that demonstrate how to apply the Circle Method in a wide variety of settings.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Hausdorff Center for Mathematics

University of Regensburg

Transchromatic phenomena appear in a variety of contexts. These include stable and unstable homotopy theory, higher category theory, topological field theories, and arithmetic geometry. The aim of the conference is to bring together people from all of these areas in order to understand the relationship between each others work and to further demystify the appearance of transchromatic patterns in such disparate areas.

Higher Chern classes, Volumes, L-functions, and polylogarithms, Metric structures on cohomology, vector bundles, and cycles, Higher categories and enriched structures

Hausdorff Center for Mathematics

Regensburg University, Dep. of Mathematics, SFB1085 (U. Bunke, D.C. Cisinski, G. Kings )

Homotopical and higher categorical methods have seen increasing importance in mathematics, both as foundations and as computational tools. In fact, such methods merge two apparently distinct goals: understanding geometrical forms and classifying mathematical structures. This conference aims at gathering together under this perspective geometers in a rather broad sense. It seeks to foster the applications of these higher methods in the interplay between homotopy theory, arithmetic, and algebraic geometry.

Geometrie und Topologie,    Zahlentheorie, Arithmetik

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Geometrie und Topologie,    Graphentheorie und Kombinatorik