Browsing 5  Oberwolfach Reports (OWR) by Title
Now showing items 101120 of 1382

1714  Arbeitsgemeinschaft: Higher Gross Zagier Formulas
[OWR201718] (2017)  (02 Apr  08 Apr 2017)The aim of this Arbeitsgemeinschaft is to go over the proof of the higher Gross–Zagier formula established in the paper [YZ15]. The formula relates arbitrary order central derivative of the base change $L$function of an ... 
2241  Arbeitsgemeinschaft: Higher Rank Teichmüller Theory
[OWR202247] (2022)  (09 Oct  14 Oct 2022)Higher rank Teichmüller theory is the study of certain connected components of character varieties of surface groups in higher rank semisimple Lie groups, with the property that all elements in these components correspond ... 
0814  Arbeitsgemeinschaft: Julia Sets of Positive Measure
[OWR200817] (2008)  (30 Mar  05 Apr 2008)In this Arbeitsgemeinschaft, we presented the proof that there exist quadratic polynomials having a nonlinearizable fixed point and a Julia set of positive Lebesgue measure. 
1314  Arbeitsgemeinschaft: Limits of Structures
[OWR201316] (2013)  (31 Mar  05 Apr 2013)The goal of the Arbeitsgemeinschaft is to review current progress in the study of very large structures. The main emphasis is on the analytic approach that considers large structures as approximations of infinite analytic ... 
1014  Arbeitsgemeinschaft: Mathematical Billards
[OWR201017] (2010)  (04 Apr  10 Apr 2010)The workshop Mathematical Billiards, organised by Serge Tabachnikov (Penn State) and Serge Troubetzkoy (Marseille) was held April 4th–April 10th, 2010. This meeting was well attended by over 40 participants including a ... 
1541  Arbeitsgemeinschaft: Mathematical Quasicrystals
[OWR201544] (2015)  (04 Oct  09 Oct 2015)This introductory workshop encouraged participants to read important recent works in the topology, geometry and dynamics of highly regular (but aperiodic) discrete sets in Euclidean spaces, and their corresponding tiling ... 
0941  Arbeitsgemeinschaft: Minimal Surfaces
[OWR200945] (2009)  (04 Oct  09 Oct 2009)The theory of Minimal Surfaces has developed rapidly in the past 10 years. There are many factors that have contributed to this development: Sophisticated construction methods [14,29,31] have been developed and have ... 
0914  Arbeitsgemeinschaft: Optimal Transport and Geometry
[OWR200918] (2009)  (29 Mar  04 Apr 2009)This Arbeitsgemeinschaft was devoted to recent developments in optimal transport with emphasis on links and applications to geometry. The topics reached from the origin of optimal transport as a variational problem, where ... 
0741  Arbeitsgemeinschaft: Percolation
[OWR200748] (2007)  (07 Oct  13 Oct 2007)Abstract. Percolation as a mathematical theory is more than fifty years old. During its life, it has attracted the attention of both physicists and mathematicians. This is due in large part to the fact that it represents ... 
2351  Arbeitsgemeinschaft: QFT and Stochastic PDEs
[OWR202359] (2023)  (17 Dec  22 Dec 2023)Quantum field theory (QFT) is a fundamental framework for a wide range of phenomena is physics. The link between QFT and SPDE was first observed by the physicists Parisi and Wu (1981), known as Stochastic Quantisation. ... 
2242  Arbeitsgemeinschaft: Quantitative Stochastic Homogenization
[OWR202248] (2022)  (16 Oct  22 Oct 2022)Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic ... 
1141  Arbeitsgemeinschaft: Quantum Ergodicity
[OWR201149] (2011)  (09 Oct  14 Oct 2011)Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting chaotic classical limiting dynamics. A paradigmatic system is the LaplaceBeltrami operator on a compact manifold of negative ... 
1214  Arbeitsgemeinschaft: Quasiperiodic Schrödinger Operators
[OWR201217] (2012)  (01 Apr  07 Apr 2012)This Arbeitsgemeinschaft discussed the spectral properties of quasiperiodic Schrödinger operators in one space dimension. After presenting background material on Schrödinger operators with dynamically defined potentials ... 
1114  Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics
[OWR201118] (2011)  (03 Apr  08 Apr 2011)This Arbeitsgemeinschaft focused on the interplay among rational homotopy theory, differential geometry and the physics of string topology. The talks centered on one hand on how geometry and string topology make use of ... 
0841  Arbeitsgemeinschaft: Ricci Flow and the Poincare Conjecture
[OWR200846] (2008)  (05 Oct  11 Oct 2008)It was the aim of this workshop to introduce the participants to the basic concepts and techniques of Hamilton’s Ricciflow programme and cover the main ideas of the proof of the Poincar´e conjecture. This was accomplished ... 
1841  Arbeitsgemeinschaft: Rigidity of Stationary Measure
[OWR201847] (2018)  (07 Oct  12 Oct 2018)The aim of this Arbeitsgemeinschaft was to understand the classification of stationary measures for semisimple random walks on a finite volume homogeneous space and its applications as described in the two papers [1] and [2]. 
1341  Arbeitsgemeinschaft: Sofic Entropy
[OWR201350] (2013)  (06 Oct  11 Oct 2013)The notion of soficity for a group is a weak type of finite approximation property that simultaneously generalizes both amenability and residual finiteness. In 2008 L. Bowen discovered how it can be used to significantly ... 
1414  Arbeitsgemeinschaft: Superrigidity
[OWR201416] (2014)  (30 Mar  05 Apr 2014)The purpose of the Arbeitsgemeinschaft was to review old and new phenomenas of rigidity in mathematics. The broad spectrum of such results was covered, such as MargulisZimmer superrigidity, cocyle and character rigidity. 
1614  Arbeitsgemeinschaft: The Geometric Langlands Conjecture
[OWR201620] (2016)  (03 Apr  09 Apr 2016)The Langlands program is a vast, loosely connected, collection of theorems and conjectures. At quite different ends, there is the geometric Langlands program, which deals with perverse sheaves on the stack of $G$bundles ... 
1514  Arbeitsgemeinschaft: The KadisonSinger Conjecture
[OWR201517] (2015)  (29 Mar  04 Apr 2015)The solution to the Kadison–Singer conjecture used techniques that intersect a number of areas of mathematics. The goal of this Arbeitsgemeinschaft was to bring together people from each of these fields to support interactions ...