Deadline for submitting a proposal for a minisymposium: Februar 14th 2020.
Applications should include the following information: Title of the minisymposium, organizers, a short description of the content (one or two sentences), the expected number of talks, ideally including a list of speakers who have confirmed their participation.
To fit the schedule, minisymposia should be structured in slots of 30 minutes including discussion.
Title: Applied shape and design optimization
Organisers: Martin Siebenborn (Universität Hamburg), Kevin Sturm (TU Wien) and Kathrin Welker (Helmut Schmidt Universität)
Abstract: The focus of this session is on computational aspects and algorithmic advances in the field of mathematical shape and topology optimization. While covering a large class of applications ranging from interface identification over shapes in aerodynamics to image segmentation, carefully selected experts report on recent developments and present practical approaches.
Title: Geometric Analysis and Applications
Organisers: Simon Blatt (Salzburg), Philipp Reiter (Halle) and Armin Schikorra (Pittsburgh)
Abstract: The aim of this workshop is to discuss recent trends in Geometric Analysis in a broad sense. The general idea is to treat geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals involving pseudodifferential operators, discrete differential geometry, and numerical simulation.
Title: Higgs bundles, harmonic maps and global surface theory
Organisers: Lynn Heller (Hannover) and Sebastian Heller (Tübingen)
Abstract: Solving non-linear partial differential equations on manifolds taking into account its global structure is an important and challenging task in mathematics. Prototypical examples are harmonic maps and their various reincarnations. The gauge theoretic reformulation allows the application of different analytic and algebraic tools. The aim of the session is to bring together experts on the field and to exposit the different flavours of the theory and its underlying structures.
Title: Locally convex methods in analysis
Organisers: Thomas Kalmes (Chemnitz) and Jochen Wengenroth (Trier)
Abstract: Modern aspects of the theory of locally convex spaces provide powerful tools to treat various problems from different fields of analysis such as Complex Analysis, Analysis of Partial Differential Operators, Spaces of (generalized) Functions, (Systems of) Partial Differential Equations, and Harmonic Analysis. The aim of the minisymposium is to present recent results based on abstract functional analytic methods as well as to discuss new trends and topics in locally convex spaces.
Title: Non-smooth optimal control problems with partial differential
Organisers: Constantin Christof (München) and Daniel Wachsmuth (Würzburg)
Abstract: This minisymposium focuses on non-smooth aspects of optimization and optimal control problems that involve partial differential equations. Applications of these models include optimal control of variational inequalities and sparse control problems. The aim of the minisymposium is to present recent results on optimality conditions and solution algorithms.
Title: Nonsmooth Optimization
Organisers: Radu Ioan Boţ (Wien) and Andrea Walther (Berlin)
Abstract: Nonsmooth optimization has experienced an amazing development during the last decade, driven by its increasingly important role in dynamical systems, optimal control of ODEs/PDEs, inverse problems, harmonic analysis, calculus of variations, mathematical finance, real algebraic geometry, etc., as well as by its great relevance for applications in computational science, engineering, and data science. The aim of this symposium is to bring together researchers who are working on different aspects related to nonsmooth optimization, ranging from theoretical foundations to the design and implementation of numerical optimization methods.
Title: Online Optimization
Organiser: Yann Disser (Darmstadt)
Abstract: Online optimization is concerned with discrete optimization problems over time, where input data only becomes available after some decisions have irrevocably been fixed, and the goal is to guarantee a good solution quality relative to an all-knowing optimum solution. This workshop highlights recent advances in this field.
Title: Optimization for Chance Constraints
Organiser: René Henrion (Weierstraß Insitute Berlin)
Abstract: Chance (or: probabilistic) constraints represent a prominent model for dealing with uncertainty in the constraints of optimization problems. The session presents new developments in this area related with PDE constrained optimization and with continuously indexed random inequality systems including applications and numerical solutions.
Title: Recent advances on evolutionary phase-transition problems
Organisers: Elisa Davoli (Wien) and Jan-Frederik Pietschmann (Chemnitz)
Abstract: The Cahn-Hilliard equation is a classical model for phase separation and by now many of its analytical aspects are well-understood. This includes the cases of degenerate mobility functions or different choices of the double-well potential. More recently, different Cahn-Hilliard models have been proposed and analyzed, also in connection with innovative applications, e.g in tumor growth modeling. An example is provided by non-local versions of the classical Cahn-Hilliard equations, introduced as gradient flows in suitable topologies of diffuse interface models for phase transitions where the classical Dirichlet energy is replaced by a convolution functional with a possibly degenerate kernel. This class of models is of particular relevance as they can be derived as a rigorous hydrodynamic limits. Further research directions are systems of (non-local) Cahn-Hilliard equations and Cahn-Hilliard-Navier-Stokes problems. The aim of this symposium is to present some recents advances and new trends in the modeling of evolutionary phase-transition problems.
Title: Vector- and tensor-valued surface PDEs
Organisers: Arnold Reusken (RWTH Aachen) and Oliver Sander (TU Dresden)
Abstract: Most of the work on numerical methods for partial differential equations (PDEs) defined on curved surfaces is concerned with scalar-valued equations. In this case the coupling between surface geometry and PDE is relatively weak and many numerical approaches available for PDEs in Euclidean space have been extended to surface PDEs. For vector- and tensor-valued surface PDEs the situation is quite different. The surface vector- and tensor-fields need to be considered as elements of the tangent bundle. This makes the coupling between surface geometry and PDE much stronger and brings more topology into play. Significant progress on the development of modeling and simulation methods in the field of vector- and tensor-valued surface PDEs is currently made in different communities and in the course of studying specific problems from different application areas, including fluid dynamics, materials science, mechanics and biophysics. The minisymposium contains presentations treating different aspects of vector- and tensor-valued surface PDES, with particular focus on mathematical modeling, numerical analysis, and simulations.