Oberwolfach Publications
http://publications.mfo.de:80
The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Mon, 30 Mar 2020 15:12:45 GMT2020-03-30T15:12:45ZOberwolfach Publicationshttp://publications.mfo.de/themes/Mirage2/images/apple-touch-icon.png
http://publications.mfo.de:80
Representations of Finite Groups
http://publications.mfo.de/handle/mfo/3730
Representations of Finite Groups
The workshop Representations of Finite Groups was organised by Joseph Chuang (London), Meinolf Geck (Stuttgart), Radha Kessar (London) and Gabriel Navarro (Valencia). It covered a wide variety of aspects of representation theory of finite groups and its relations to other areas of mathematics.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37302019-01-01T00:00:00ZThe workshop Representations of Finite Groups was organised by Joseph Chuang (London), Meinolf Geck (Stuttgart), Radha Kessar (London) and Gabriel Navarro (Valencia). It covered a wide variety of aspects of representation theory of finite groups and its relations to other areas of mathematics.Contemporary Coding Theory
http://publications.mfo.de/handle/mfo/3729
Contemporary Coding Theory
Coding Theory naturally lies at the intersection of a large number
of disciplines in pure and applied mathematics. A multitude of
methods and means has been designed to construct, analyze, and
decode the resulting codes for communication. This has suggested to
bring together researchers in a variety of disciplines within
Mathematics, Computer Science, and Electrical Engineering, in order
to cross-fertilize generation of new ideas and force global
advancement of the field. Areas to be covered are Network Coding,
Subspace Designs, General Algebraic Coding Theory, Distributed
Storage and Private Information Retrieval (PIR), as well as
Code-Based Cryptography.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37292019-01-01T00:00:00ZCoding Theory naturally lies at the intersection of a large number
of disciplines in pure and applied mathematics. A multitude of
methods and means has been designed to construct, analyze, and
decode the resulting codes for communication. This has suggested to
bring together researchers in a variety of disciplines within
Mathematics, Computer Science, and Electrical Engineering, in order
to cross-fertilize generation of new ideas and force global
advancement of the field. Areas to be covered are Network Coding,
Subspace Designs, General Algebraic Coding Theory, Distributed
Storage and Private Information Retrieval (PIR), as well as
Code-Based Cryptography.Uncertainty Quantification
http://publications.mfo.de/handle/mfo/3728
Uncertainty Quantification
Uncertainty quantification (UQ) is concerned with including and characterising uncertainties in mathematical models.
Major steps comprise proper description of system uncertainties, analysis and efficient quantification of uncertainties in predictions and design problems, and statistical inference on uncertain parameters starting from available measurements.
Research in UQ addresses fundamental mathematical and statistical challenges, but has also wide applicability in areas such as engineering, environmental, physical and biological applications.
This workshop focussed on mathematical challenges at the interface of applied mathematics, probability and statistics, numerical analysis, scientific computing and application domains.
The workshop served to bring together experts from those disciplines in order to enhance their interaction, to exchange ideas and to develop new, powerful methods for UQ.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37282019-01-01T00:00:00ZUncertainty quantification (UQ) is concerned with including and characterising uncertainties in mathematical models.
Major steps comprise proper description of system uncertainties, analysis and efficient quantification of uncertainties in predictions and design problems, and statistical inference on uncertain parameters starting from available measurements.
Research in UQ addresses fundamental mathematical and statistical challenges, but has also wide applicability in areas such as engineering, environmental, physical and biological applications.
This workshop focussed on mathematical challenges at the interface of applied mathematics, probability and statistics, numerical analysis, scientific computing and application domains.
The workshop served to bring together experts from those disciplines in order to enhance their interaction, to exchange ideas and to develop new, powerful methods for UQ.Mini-Workshop: Cohomology of Hopf Algebras and Tensor Categories
http://publications.mfo.de/handle/mfo/3727
Mini-Workshop: Cohomology of Hopf Algebras and Tensor Categories
The mini-workshop featured some open questions
about the cohomology of Hopf algebras
and tensor categories.
Questions included whether the cohomology ring
of a finite dimensional Hopf algebra or a finite tensor category is
finitely generated, questions about corresponding
geometric methods in representation theory, and
questions about noetherian Hopf algebras.
The workshop brought together mathematicians currently
working on these and other open problems.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37272019-01-01T00:00:00ZThe mini-workshop featured some open questions
about the cohomology of Hopf algebras
and tensor categories.
Questions included whether the cohomology ring
of a finite dimensional Hopf algebra or a finite tensor category is
finitely generated, questions about corresponding
geometric methods in representation theory, and
questions about noetherian Hopf algebras.
The workshop brought together mathematicians currently
working on these and other open problems.Mini-Workshop: Lorentz Gas Dynamics: particle systems and scaling limits
http://publications.mfo.de/handle/mfo/3726
Mini-Workshop: Lorentz Gas Dynamics: particle systems and scaling limits
This workshop had the aim to bring together leading experts from different fields, i.e. interacting particle systems, dynamical systems and kinetic theory, to consider
questions related to the dynamics of the Lorentz gas and to promote the exchange of information concerning the techniques that have been developed in different contexts and communities.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37262019-01-01T00:00:00ZThis workshop had the aim to bring together leading experts from different fields, i.e. interacting particle systems, dynamical systems and kinetic theory, to consider
questions related to the dynamics of the Lorentz gas and to promote the exchange of information concerning the techniques that have been developed in different contexts and communities.Mini-Workshop: Mathematical Aspects of Nonlinear Wave Propagation in Solid Mechanics
http://publications.mfo.de/handle/mfo/3725
Mini-Workshop: Mathematical Aspects of Nonlinear Wave Propagation in Solid Mechanics
Nonlinear elastodynamics sets a plethora of challenging mathematical problems such as those concerning wave propagation in solids.
Elastic vibrations and acoustic waves have been widely studied because of their applications in nondestructive tests of materials and structures, and, in recent times, several novel aspects of the theory of wave propagation in solids have blossomed thanks to the introduction of metamaterials and new technological devices.
The goal of this workshop was to bring together researchers with different backgrounds to discuss recent advances, and to stimulate future work.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37252019-01-01T00:00:00ZNonlinear elastodynamics sets a plethora of challenging mathematical problems such as those concerning wave propagation in solids.
Elastic vibrations and acoustic waves have been widely studied because of their applications in nondestructive tests of materials and structures, and, in recent times, several novel aspects of the theory of wave propagation in solids have blossomed thanks to the introduction of metamaterials and new technological devices.
The goal of this workshop was to bring together researchers with different backgrounds to discuss recent advances, and to stimulate future work.Non-Archimedean Geometry and Applications
http://publications.mfo.de/handle/mfo/3724
Non-Archimedean Geometry and Applications
The workshop focused on recent developments in non-Archimedean analytic geometry with various applications to other fields. The topics of the talks included applications to complex geometry, mirror symmetry, p-adic Hodge theory, tropical geometry, resolution of singularities, p-adic dynamical systems and diophantine geometry.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37242019-01-01T00:00:00ZThe workshop focused on recent developments in non-Archimedean analytic geometry with various applications to other fields. The topics of the talks included applications to complex geometry, mirror symmetry, p-adic Hodge theory, tropical geometry, resolution of singularities, p-adic dynamical systems and diophantine geometry.Moist Processes in the Atmosphere
http://publications.mfo.de/handle/mfo/3723
Moist Processes in the Atmosphere
Processes related to water in the atmosphere lead to severe uncertainties in weather
forecasting and climate research. Atmospheric water vapor and cloud water strongly
influence the Earth's energy budget through, e.g., energy conversions associated
with phase changes, fluid dynamical effects associated with buoyancy, and through their
influence on radiative transfer properties of the atmosphere. Given the critical green-house
effect of water vapor, it seems astounding that climate modellers cannot with certainty state
whether the Earth's cloud system has a positive or negative influence on the global mean
temperature. The formation of clouds involves small-scale processes currently unresolved by
climate models, and thus cloud cover is one of the main sources of uncertainty. This large
uncertainty has its roots in the extremely wide range of length and time scales associated
with moist processes, which pose an equally wide range of challenges to mathematical and
computational modelling.
New and innovative methods, modeling frameworks, efficient computational techniques, and complex statistical data analysis procedures as well as their mathematical analysis are urgently needed in order to make progress in this new field -- from the mathematicians point of view. One of the main goals of this workshop is to show the path forward for current and future applied mathematical scientists, to work hand in hand across the disciplines of mathematics, physics, and atmospheric science, in order to tackle the complex problem of dynamical and thermodynamical processes associated with clouds and moisture, both from the theoretical and the applied view points.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37232019-01-01T00:00:00ZProcesses related to water in the atmosphere lead to severe uncertainties in weather
forecasting and climate research. Atmospheric water vapor and cloud water strongly
influence the Earth's energy budget through, e.g., energy conversions associated
with phase changes, fluid dynamical effects associated with buoyancy, and through their
influence on radiative transfer properties of the atmosphere. Given the critical green-house
effect of water vapor, it seems astounding that climate modellers cannot with certainty state
whether the Earth's cloud system has a positive or negative influence on the global mean
temperature. The formation of clouds involves small-scale processes currently unresolved by
climate models, and thus cloud cover is one of the main sources of uncertainty. This large
uncertainty has its roots in the extremely wide range of length and time scales associated
with moist processes, which pose an equally wide range of challenges to mathematical and
computational modelling.
New and innovative methods, modeling frameworks, efficient computational techniques, and complex statistical data analysis procedures as well as their mathematical analysis are urgently needed in order to make progress in this new field -- from the mathematicians point of view. One of the main goals of this workshop is to show the path forward for current and future applied mathematical scientists, to work hand in hand across the disciplines of mathematics, physics, and atmospheric science, in order to tackle the complex problem of dynamical and thermodynamical processes associated with clouds and moisture, both from the theoretical and the applied view points.Singularities and Homological Aspects of Commutative Algebra
http://publications.mfo.de/handle/mfo/3722
Singularities and Homological Aspects of Commutative Algebra
Commutative algebra has recently witnessed a number of spectacular developments, resulting in the resolution of long-standing problems. The new techniques and perspectives, such as methods from the theory of perfectoid spaces, are leading to an extraordinary transformation in the field. There is also remarkable progress on the study of singularities in positive characteristics, and in particular on the problem of resolution of singularities. This workshop brought together researchers driving these developments with a broader group of young researchers in commutative algebra and allied fields, with the aim of spurring new collaborations and progress.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37222019-01-01T00:00:00ZCommutative algebra has recently witnessed a number of spectacular developments, resulting in the resolution of long-standing problems. The new techniques and perspectives, such as methods from the theory of perfectoid spaces, are leading to an extraordinary transformation in the field. There is also remarkable progress on the study of singularities in positive characteristics, and in particular on the problem of resolution of singularities. This workshop brought together researchers driving these developments with a broader group of young researchers in commutative algebra and allied fields, with the aim of spurring new collaborations and progress.Nonlinear Evolution Equations: Analysis and Numerics
http://publications.mfo.de/handle/mfo/3721
Nonlinear Evolution Equations: Analysis and Numerics
The qualitative theory of nonlinear evolution equations is an
important tool for studying the dynamical behavior of systems in
science and technology. A thorough understanding of the complex
behavior of such systems requires detailed analytical and numerical
investigations of the underlying partial differential equations.
Tue, 01 Jan 2019 00:00:00 GMThttp://publications.mfo.de/handle/mfo/37212019-01-01T00:00:00ZThe qualitative theory of nonlinear evolution equations is an
important tool for studying the dynamical behavior of systems in
science and technology. A thorough understanding of the complex
behavior of such systems requires detailed analytical and numerical
investigations of the underlying partial differential equations.