Oberwolfach Reports: Recent submissions
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1718 - O-Minimality and its Applications to Number Theory and Analysis
[OWR-2017-22] (2017) - (30 Apr - 06 May 2017)The workshop brought together researchers in the areas of o-minimal structures, analysis and number theory. The latest developments in o-minimality and their applications to number theory and analysis were presented in a ... -
1717 - Algebraic Groups
[OWR-2017-21] (2017) - (23 Apr - 29 Apr 2017)Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential ... -
1716 - Algebraic Statistics
[OWR-2017-20] (2017) - (16 Apr - 22 Apr 2017)Algebraic Statistics is concerned with the interplay of techniques from commutative algebra, combinatorics, (real) algebraic geometry, and related fields with problems arising in statistics and data science. This workshop ... -
1715 - Discrete Geometry
[OWR-2017-19] (2017) - (09 Apr - 15 Apr 2017)A number of important recent developments in various branches of discrete geometry were presented at the workshop. The presentations illustrated both the diversity of the area and its strong connections to other fields of ... -
1714 - Arbeitsgemeinschaft: Higher Gross Zagier Formulas
[OWR-2017-18] (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 ... -
1713 - Multiscale and High-Dimensional Problems
[OWR-2017-17] (2017) - (26 Mar - 01 Apr 2017)High-dimensional problems appear naturally in various scientific areas. Two primary examples are PDEs describing complex processes in computational chemistry and physics, and stochastic/ parameter-dependent PDEs arising ... -
1712 - Statistical Recovery of Discrete, Geometric and Invariant Structures
[OWR-2017-16] (2017) - (19 Mar - 25 Mar 2017)The main objective of the workshop was to bring together researchers in mathematical statistics and related areas in order to discuss recent advances and problems associated with statistical recovery of geometric and ... -
1711 - Space-time Methods for Time-dependent Partial Differential Equations
[OWR-2017-15] (2017) - (12 Mar - 18 Mar 2017)Modern discretizations of time-dependent PDEs consider the full problem in the space-time cylinder and aim to overcome limitations of classical approaches such as the method of lines (first discretize in space and then ... -
1710 - Real Algebraic Geometry With a View Toward Moment Problems and Optimization
[OWR-2017-14] (2017) - (05 Mar - 11 Mar 2017)Continuing the tradition initiated in MFO workshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control. A ... -
1709 - Mathematics of Quantitative Finance
[OWR-2017-13] (2017) - (26 Feb - 04 Mar 2017)The workshop on Mathematics of Quantitative Finance, organised at the Mathematisches Forschungsinstitut Oberwolfach from 26 February to 4 March 2017, focused on cutting edge areas of mathematical finance, with an emphasis ... -
1708 - Representation Theory of Quivers and Finite Dimensional Algebras
[OWR-2017-12] (2017) - (19 Feb - 25 Feb 2017)Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ... -
1707 - Set Theory
[OWR-2017-11] (2017) - (12 Feb - 18 Feb 2017)This workshop included selected talks on pure set theory and its applications, simultaneously showing diversity and coherence of the subject. -
1706c - Mini-Workshop: Perspectives in High-dimensional Probability and Convexity
[OWR-2017-10] (2017) - (05 Feb - 11 Feb 2017)Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and ... -
1706a - Mini-Workshop: Cluster Expansions: From Combinatorics to Analysis through Probability
[OWR-2017-8] (2017) - (05 Feb - 11 Feb 2017)The workshop addressed the interplay between theory and applications of cluster expansions. These expansions, historically geared towards the study of systems in statistical mechanics, thermodynamics, and physical chemistry, ... -
1706b - Mini-Workshop: Stochastic Differential Equations: Regularity and Numerical Analysis in Finite and Infinite Dimensions
[OWR-2017-9] (2017) - (05 Feb - 11 Feb 2017)This Mini-Workshop is devoted to regularity and numerical analysis of stochastic ordinary and partial differential equations (SDEs for both). The standard assumption in the literature on SDEs is global Lipschitz continuity ... -
1705 - Applications of Optimal Transportation in the Natural Sciences
[OWR-2017-7] (2017) - (29 Jan - 04 Feb 2017)The aim of this workshop was to gather a mixed group of experts and young researchers from different areas of applied mathematics in which optimal transport plays a central role. Applications in one of the classical areas ... -
1704 - Emerging Developments in Interfaces and Free Boundaries
[OWR-2017-6] (2017) - (22 Jan - 28 Jan 2017)The field of the mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a well established and flourishing area of research. This workshop ... -
1703 - Cryptography
[OWR-2017-5] (2017) - (15 Jan - 21 Jan 2017)The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ... -
1702c - Mini-Workshop: Adaptive Methods for Control Problems Constrained by Time-Dependent PDEs
[OWR-2017-4] (2017) - (08 Jan - 14 Jan 2017)Optimization problems constrained by time-dependent PDEs (Partial Differential Equations) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ... -
1702a - Mini-Workshop: Women in Mathematics: Historical and Modern Perspectives
[OWR-2017-2] (2017) - (08 Jan - 14 Jan 2017)The aim of the workshop is to build a bridge between research on the situation of women in mathematics at the beginning of coeducative studies and the current circumstances in academia. The issue of women in mathematics ...