Konferenzservice Mandl

Zusammenfassung: This is an announcement for the 4th William Rowan Hamilton Geometry and Topology Workshop to be held at the Hamilton Mathematics Institute (HMI), in Trinity College, Dublin, Ireland. This year, the workshop runs from Thursday, August 28th, through Saturday, August 30th.

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

Zusammenfassung: This international meeting aims at bringing together experts who share an interest in braid groups, and expects to raise fruitful interactions among them. All subjects related to braid groups are welcome: knots, hyperplane arrangements, low dimensional topology, Coxeter groups, Hecke algebras, singularities, representations....

Zusammenfassung: The workshop is a continuation of a series of earlier programmes at ESI: special semester 'Random Walks' (2001), RDSES/ESI Educational Workshop on Discrete Probability (2006), workshop 'Algebraic, geometric and probabilistic aspects of amenability' (2007). We plan to mostly concentrate on the following 3 areas of discrete structural probability: random walks, percolation on groups and graphs, random groups. Information: Limited financial support is available.

Zusammenfassung: The workshop strives to bring together researchers from infinite-dimensional Lie theory and researchers in related areas of functional analysis, to familiarize each other with their ways of thinking, recent progress and typical problems. To foster these goals, there will be four introductory mini-courses, as well as several invited talks of an expository or survey character. The program is also apt to give young researchers (and researchers from neighboring areas) an introduction to infinite-dimensional calculus and the theory of infinite-dimensional Lie groups, including an impression of the state of the art.

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 special theme programme will be broken down into two weeks. Participants may attend either week or both.

Week 1:An international conference in honour of Professor Praeger's 60th birthday. It will contain invited 1 hour talks and short contributed talks by participants.

Week 2:An informal week of short courses, workshops and problem sessions, especially benefical to early career researchers and postgraduate students.

Zusammenfassung: The special theme programme will be broken down into two weeks. Participants may attend either week or both.

Week 1: An international conference in honour of Professor Praeger's 60th birthday. It will contain invited 1 hour talks and short contributed talks by participants.

Week 2: An informal week of short courses, workshops and problem sessions, especially benefical to early career researchers and postgraduate students.

Zusammenfassung: Lie theory has profound connections to many areas of pure and applied mathematics and mathematical physics. In the 1950s, the original 'analytic' theory was extended so that it also makes sense over arbitrary algebraically closed fields, in particular, fields of positive characteristic. Understanding fundamental objects such as Lie algebras, quantum groups, reductive groups over finite or p-adic fields and Hecke algebras of various kinds, as well as their representation theory, are the central themes of 'Algebraic Lie Theory'. It is anticipated that the activities of the programme will lead to a focalisation and popularisation of the various recent methods, advances and applications of Algebraic Lie Theory.

Zusammenfassung: There will be time for a very limited number of short talks. If you plan to give one, please submit your title, with a detailed abstract, no later than March 30, 2009. We will accomodate as many people as we can. There will also be panels available for posters.

Zusammenfassung: Lie algebras and their representations form an extremely rich and important field of mathematics. Geometric representation theory is a relatively new field which has attracted much attention. The general idea is to use geometric methods to construct classically algebraic objects, such as representations of Lie groups and Lie algebras. Geometric techniques have proven to be particularly well suited to establishing positivity and integrality results, as these are often easy consequences of the geometric nature of the objects involved. One is also often able to use the representation theory of objects such as (affine) Kac-Moody algebras to organize and better understand the homology of various interesting spaces appearing in the constructions, like Hilbert schemes, flag varieties, Steinberg varieties, affine Grassmannians, and quiver varieties. In addition to its obvious connections to representation theory, geometric representation theory has been found to be intimately related to combinatorics (crystals, quivers), cluster algebras, mathematical physics, and many other subjects.

Zusammenfassung: Lie algebras and their representations form an extremely rich and important field of mathematics. Geometric representation theory is a relatively new field which has attracted much attention. The general idea is to use geometric methods to construct classically algebraic objects, such as representations of Lie groups and Lie algebras. Geometric techniques have proven to be particularly well suited to establishing positivity and integrality results, as these are often easy consequences of the geometric nature of the objects involved. One is also often able to use the representation theory of objects such as (affine) Kac-Moody algebras to organize and better understand the homology of various interesting spaces appearing in the constructions, like Hilbert schemes, flag varieties, Steinberg varieties, affine Grassmannians, and quiver varieties. In addition to its obvious connections to representation theory, geometric representation theory has been found to be intimately related to combinatorics (crystals, quivers), cluster algebras, mathematical physics, and many other subjects.

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: This conference, the eighth in the series of Groups St Andrews Conferences, will be organised along similar lines to previous events in this series. For 2009 the conference returns to its usual two-week format. The conference aims to cover all aspects of group theory. The short lecture courses are intended to be accessible to postgraduate students, postdoctoral fellows, and researchers in all areas of group theory.

Zusammenfassung: This workshop, sponsored by AIM and the NSF, will explore the arithmetic and analytic properties of noncongruence modular forms and their potential applications. A special focus will be on the connection between Scholl representations attached to noncongruence cuspforms and automorphic forms by applying modularity lifting theorems.