Oberwolfach Publications (Mathematisches Forschungsinst. Oberwolfach)
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Dynamische Systeme
No full textThis workshop continued the biannual series at Oberwolfach on
Dynamical Systems that started as the ``Moser-Zehnder meeting'' in 1981.
The main themes of the workshop are the new results and developments in
the area of dynamical systems, in particular in Hamiltonian systems and
symplectic geometry. This year special emphasis where laid on different kinds of spectra (in contact geometry, in Riemannian geometry, in dynamical systems and in symplectic topology)
New Developments in Representation Theory of p-adic Groups
No full textThe representation theory of -adic groups has played an important role in the Langlands program.
It has seen significant progress in the past two decades, including various instances of the local Langlands correspondences, construction of supercuspidal representations and questions on periods and distinction. This workshop explored new ideas and further developments in this subject
Many-Body Quantum Systems
No full textThe interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In
this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions
Limits of graph sequences
No full textGraphs are simple mathematical structures used to
model a wide variety of real-life objects. With the
rise of computers, the size of the graphs used for
these models has grown enormously. The need to efficiently
represent and study properties of extremely
large graphs led to the development of the theory of
graph limits
Mini-Workshop: Operator Algebraic Quantum Groups
No full textThis mini-workshop brought together a rich and varied cross-section of young and active researchers working on operator algebraic aspects of quantum group theory. The primary goals of this meeting were to highlight the state-of-the-art results on the subject and to trigger new research by advertising some of the main open directions in operator algebraic quantum group theory: classification problems for C- and von Neumann algebras, relations to free/non-commutative probability, applications in quantum information theory, and the creation of new quantum groups and potential classification results for subclasses of quantum groups
Chirality of Real Non-Singular Cubic Fourfolds and Their Pure Deformation Classification
No full textIn our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of co-efficients preserving the hypersurface non-singular. Here, we perform a finer classification giving a full answer to the chirality problem: which of real non-singular cubic hypersurfaces can not be continuously deformed to their mirror reflection
On Co-Minimal Pairs in Abelian Groups
No full textA pair of non-empty subsets in an abelian group is a complement pair if . is said to be minimal to if . In general, given an arbitrary subset in a group, the existence of minimal complement(s) depends on its structure. The dual problem asks that given such a set, if it is a minimal complement to some subset. We study tightness property of complement pairs such that both and are minimal to each other. These are termed co-minimal pairs and we show that any non-empty finite set in an arbitrary free abelian group belongs to some co-minimal pair. We also construct infinite sets forming co-minimal pairs. Finally, we remark that a result of Kwon on the existence of minimal self-complements in , also holds in any abelian group
Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups
No full textRank one groups are a class of
doubly transitive groups that are natural
generalizations of the groups .
The most interesting
examples arise from exceptional algebraic
groups of relative
rank one.
This class of groups is, in turn,
intimately related to structurable
algebras. The goal of the mini-workshop
was to bring together experts on these topics in order to make
progress towards a better understanding
of the structure of rank one groups
Homotopy Theory
No full textThe workshop "Homotopy Theory" was organized by Jesper Grodal
(Copenhagen), Michael Hill (Los Angeles), and Birgit Richter (Hamburg). It
covered a wide variety of topics in homotopy theory, from foundational questions
to particular computational techniques, and it explored connections to related
fields
Partial Differential Equations
No full textThe workshop dealt with nonlinear partial differential equations and some applications in geometry,
touching several different topics such as geometric flows, minimal surfaces, semi-linear equations and calculus of variations