Konferenzservice Mandl

Zusammenfassung: Tiling problems have a long tradition in combinatorics and in statistical mechanics. One of the central problems is understanding the statistical structure of the patterns obtained when randomly tiling a large domain. As noticed by N. Elkies and J. Propp a decade ago, random tilings of a large planar domain may exhibit phase segregation; the density of tiles has a smooth (non-constant) variation in some regions of the domain in coexistence with a frozen region where the density of tiles is constant. In the corresponding surface picture the frozen region corresponds to a facet of constant slope while in the complement one has a rounded surface.

Zusammenfassung: Lecturers: B. Fantechi (SISSA, It) A. Kresch (Universität Zürich, CH) Supporting lectures will be delivered by E. Mann (Université de Montpellier, Fr). Aim of the School: The School is mainly aimed to Phd students and young researchers in Algebraic Geometry, introducing the participants to research, beginning from a basic level with a view towards the applications and to the most recent results. A tentative program is as follows. Motivation: why stacks are needed. Basic example: moduli of curves of genus g. The 2-category of groupoids, schemes as functors, categories fibered in groupoids, pseudofunctors. The stack condition. Representable morphisms, definition of algebraic stack (in the sense of Deligne-Mumford). Quotient stacks, stacks associated to groupoids. The 2-category of stacks; open, closed substacks; topological space associated to a stack. Properties of stacks and of their morphisms; valuative criteria for separatedness and properness. Inertia stack. (Quasi)coherent sh

Zusammenfassung: The Fall Workshops on Geometry and Physics have been held yearly since 1992, and bring together Spanish and Portuguese geometers and physicists, along with an ever increasing number of participants from outside the Iberian peninsula. The main topics of the meeting are: Lie algebroids and mechanics, Lorentz and Poisson geometries, Riemannian geometry, symplectic and contact geometries, mechanics of continuous media, quantum mechanics, relativity, supergravity and supersymmetry, integrable systems, control theory, classical theory of fields, and string theory.

Zusammenfassung: The purpose of the workshop is to bring together mathematicians, physicists, and students interested in the interaction between topology and physics. Six invited lectures will describe various classical and current aspects of this interaction at a level appropriate to an audience of non-specialists. Poster sessions and extended discussion periods will provide the opportunity for participants to exchange ideas and establish contacts and collaborations.

Zusammenfassung: This workshop will bring together researchers interested in the topology of stratified spaces. It will focus roughly on four topics: topology of complex varieties, signature theory on singular spaces, and intersection cohomology, and mixed Hodge theory and singularities. Aside from talks on current research, there will be a series of introductory lectures on these themes. These talks will be aimed at strengthening the connections among the various topology research groups and the connections between topology researchers and researchers at the program on Analysis of Singular Spaces, running concurrently.

Zusammenfassung: Proceedings of the conference will be published in Journal of Homotopy and Related Structures

Zusammenfassung: The conference is an activity of the Sonderforschungsbereich Mainz/Bonn/Essen on Periods, Moduli Spaces, and Arithmetic of Algebraic Varieties, and is supported by the Hausdorff Center for Mathematics (Bonn).

Zusammenfassung: The aim of this conference is to strengthen interaction between algebra, differential geometry and theoretical physics. The scope of conference includes the following topics: noncommutative geometry, operad and group theoretical methods, generalizations of Lie algebras, non-associative systems, quantum groups, Hopf algebras, categorical physics, integrable systems.

Zusammenfassung: In recent years, there has been exciting progress in the following three branches of low-dimensional topology: Heegard Floer Homology, 4-Dimensional Manifolds, and Khovanov Homology. The format of this workshop will be three one-hour lectures every day, most likely one on each topic. The first day will consist of introductions to these areas; later talks will be given by experts in the areas who can explain the most recent developments. There will be time for discussions in the hope that participants will interact intensely.

Zusammenfassung: Main topics of the conference are: - Differential Geometry and its Applications to Mechanics - General Algebra - Modern Applied Algebra

Zusammenfassung: This conference, in honor of the 70th birthday of Herman Gluck, will address two topics in the application of geometry to other fields: (1) calibrated geometry and its applications to physics; (2) the application of geometry to knot theory, including topics such as Freedman's Mobius energy and Nabutovsky's ropelength.

Zusammenfassung: Aims to bring together leading experts as well as young researchers working on topics mainly related to univalent functions and Geometric Function Theory with applications in various area of mathematics, and to present their recent work to the mathematical community. English is the official language of the symposium.

Zusammenfassung: This workshop, sponsored by AIM and the NSF, has the goal of providing a description of $GL_3$ automorphic forms and their $L$-functions amenable to analytic number theorists and to explain the various approaches available to perform harmonic analysis on these spaces. A second objective will be to discuss the extension of some of the important tools existing in the $GL_2$ theory to the $GL_3$ context: a typical example is Kuznetzov's formula. A third objective will be to list some important problems known for $GL_2$ and to identify the main obstructions to the extension of these to $GL_3$: typical problems are non-vanishing problems for central values of L-functions and subconvexity problem. To achieve these goals we plan to bring together analytic number theorists and specialists from the theory of automorphic forms and related fields who are interested in analytic questions.

Zusammenfassung: There have been some very rapid changes to the interactions of algebra, geometry and analysis in recent years, many prompted by new mathematical ideas coming from physics. Novel algebraic structures have been invented, new methods for calculating invariants of geometric objects found and radical developments in noncommutative algebra and analysis have occurred under the influence of string theory and many body quantum physics. This meeting is to review these rapidly developing areas, so as to provide an additional attraction for international visitors who may be interested in attending the AustMS/NZMS convention. It also provides opportunities to postgraduate students and postdoctoral fellows to access these latest developments and to relate them to their own research.

Zusammenfassung: The recent progress in topology has shed light on many deep connections between algebraic topology and the theory of braids. A successful program on Braids was organized in May-July, 2007. This present program is going to explore further the connections between algebraic topology and braids, and to establish further research collaborations in algebraic topology in Asia. The present program will consist of a conference on algebraic topology, and a workshop on special topics. 1. The Second East Asia Conference on Algebraic Topology, December 8-12, 2008. 2. Workshop on Homotopy, Braids and Mapping Class Groups, December 13-22, 2008.

Zusammenfassung: The Pacific Rim Geometry Conference has been held every two years since 1992, with previous meetings occurring at Murramarang, Australia (2006), Shanghai (2004), Hong Kong (2002), Sendai (2000), Vancouver (1998), Seoul (1996), Singapore (1994), and Hong Kong (1992). The main purpose of the conference is to bring together researchers from Pacific Rim countries that are interested in areas related to geometry. The conference serves as a means to disseminate the most recent research developments and to cultivate working relationships among its participants.

Zusammenfassung: Twenty-first century algebraic geometry is a broad subject, with mathematicians on different frontiers sharing little background. This workshop will consist of colloquium-style talks introducing some of its subfields to people, particularly postdocs, working in other areas. The workshop is part of the semester program on Algebraic Geometry, and some additional funding will be available for participants to attend the associated introductory workshop 'Classical algebraic geometry', January 26-30, 2009.

Zusammenfassung: The main theme of the workshop will be to explore modern approaches to problems originating in Classical Algebraic Geometry, and at the same time offer an introduction to various subfields to the younger participants in the semester-long program. Topics will include: (1) Birational geometry; (2) Moduli spaces of curves; (3) Moduli spaces of vector bundles; (4) Abelian varieties.

Zusammenfassung: This workshop will convene experts specializing on the minimal model program, derived categories and moduli spaces in an informal environment to facilitate the cross-fertilization of ideas across these different fields of algebraic geometry.

Zusammenfassung: This workshop will present the state of the art in combinatorial, enumerative, and toric algebraic geometry. It will highlight this part of modern algebraic geometry within the context of the broader semester-long parent program at MSRI, and convey its scope to young researchers.

Zusammenfassung: TOPOLOGY, C*-ALGEBRAS, and STRING DUALITY May 18 - May 22, 2009 Opening reception on the evening of May 17 at Texas Christian University, Fort Worth, TX Principal Lecturer: Jonathan Rosenberg (Univ. of Maryland) Some of the most exciting current research in geometry and topology has been motivated by problems in mathematical physics in general, and string theory in particular. Physicists are still divided concerning the usefulness of string theory as a ``unified field theory,'' uniting our understanding of all the fundamental forces of nature. However, even if string theory should turn out not to be fully confirmed by experiment, the fascinating and beautiful mathematics it has generated is expected to retain its mathematical value. The subject of the conference will involve a number of such ``spin-offs'' of string theory into pure mathematics, and the way they connect with other topics in topology and operator algebras that were initially developed for other purposes.

Zusammenfassung: Besides Elliptic and Parabolic issues, the topics of the conference include Geometry, Free Boundary Problems, Fluid Mechanics, Evolution Problems in general, Calculus of Variations, Homogenization, Control, Modeling and Numerical Analysis. In addition to the plenary talks parallel sessions and minisymposia will be organized. Gaeta, where the conference will take place, is in the gulf of Serapo between Rome and Naples. The hotel is located directly at the sea, just a ten minute walk from the old city of Gaeta.

Zusammenfassung: The main scientific topics will be presented on the conference are: infinite dimensional holomorphy, topological tensor products, Banach space theory, operator theory; general topology; set-theoretic topology; geometric and infinite dimensional topology.

Zusammenfassung: The workshop will feature minicourses in hyperbolic geometry, quantum topology and number theory given by world renowned experts and is aimed at graduate students and recent PhD's. Support is available for the workshop and conference participants mainly in the form of housing. We also expect to provide partial travel support. Funding is provided by the NSF through an FRG grant. Detailed information about support, speakers and participants will be announced soon on the conference homepage.

Zusammenfassung: The conference will cover the following subjects : ramification theory, vanishing cycles, rigid geometry, arithmetic D-modules, geometric and p-adic aspects of the Langlands Correspondence and related topics.

Zusammenfassung: The aim of this conference is to bring together researchers from all aspects of finite fields: theory, computation and applications. Previous meetings have been in Las Vegas (USA), Glasgow (Scotland), Waterloo (Canada), Augsburg (Germany), Oaxaca (Mexico), Toulouse (France) and Melbourne (Australia). As in previous years we intend to publish conference proceedings with one of the major scientific publishers.

Zusammenfassung: The Conference will cover all areas of topology-related mathematics, especially general topology, set-theoretic topology, categorial topology, and applications of topology to other areas of mathematics and the sciences, especially in theoretical computer science, algebra and geometry.

Zusammenfassung: In the 1980's Grothendieck formulated his anabelian conjectures that brought to an hitherto-unexplored depth the interaction between topology and arithmetic. This suggested that the study of non-abelian fundamental groups could lead to a new understanding of deep arithmetic phenomena, including the arithmetic theory of moduli and Diophantine finiteness on hyperbolic curves. A certain amount of work in recent years linking fundamental groups to Diophantine geometry intimates deep and mysterious connections to the theory of motives and Iwasawa theory, with their links with arithmetic problems on special values of L-functions such as the conjecture of Birch and Swinnerton-Dyer. The goal of this programme is to investigate the ideas and problems of anabelian geometry within the global context of mainstream arithmetic geometry.

Zusammenfassung: The goals of the 2009-2010 program at MSRI are to. I. Promote the cross-pollination of ideas between different areas of symplectic and contact geometry; II. Help assess and formulate the main outstanding fundamental problems and directions in the field; III. Lead to new breakthroughs and solutions of some of the main problems in the area; IV. Discover new applications of symplectic and contact geometry in mathematics and physics; V. Educate a new generation of young mathematicians, giving them a broader view of the subject and the capability to employ techniques from different areas in their research. To achieve these goals, the program will concentrate on three broad, interrelated themes that encompass many of the modern trends in symplectic geometry: algebraic structures associated to holomorphic curves; symplectic and contact geometry in low-dimensional topology; and symplectic topology and dynamics.