• 2149c - Mini-Workshop: Variable Curvature Bounds, Analysis and Topology on Dirichlet Spaces (hybrid meeting) 

  [OWR-2021-58] Workshop Report 2021,58 (2021) - (05 Dec - 11 Dec 2021)

  A Dirichlet form $\mathcal{E}$ is a densely defined bilinear form on a Hilbert space of the form $L^2(X,\mu)$, subject to some additional properties, which make sure that $\mathcal{E}$ can be considered as a natural ...

• 2145 - Combinatorial Optimization (hybrid meeting) 

  [OWR-2021-53] Workshop Report 2021,53 (2021) - (07 Nov - 13 Nov 2021)

  Combinatorial Optimization deals with optimization problems defined on combinatorial structures such as graphs and networks. Motivated by diverse practical problem setups, the topic has developed into a rich mathematical ...

• 2146 - Complexity Theory (hybrid meeting) 

  [OWR-2021-54] Workshop Report 2021,54 (2021) - (14 Nov - 20 Nov 2021)

  Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various ...

• 2149a - Mini-Workshop: (Anosov)$^3$ (hybrid meeting) 

  [OWR-2021-56] Workshop Report 2021,56 (2021) - (05 Dec - 11 Dec 2021)

  Three different active fields are subsumed under the keyword Anosov theory: Spectral theory of Anosov flows, dynamical rigidity of Anosov actions, and Anosov representations. In all three fields there have been dynamic ...

• 2150 - Convex Geometry and its Applications (hybrid meeting) 

  [OWR-2021-59] Workshop Report 2021,59 (2021) - (12 Dec - 18 Dec 2021)

  The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of ...

• 2148 - Applied Harmonic Analysis and Data Science (hybrid meeting) 

  [OWR-2021-55] Workshop Report 2021,55 (2021) - (28 Nov - 04 Dec 2021)

  Data science has become a field of major importance for science and technology nowadays and poses a large variety of challenging mathematical questions. The area of applied harmonic analysis has a significant impact ...

• 2144 - Enveloping Algebras and Geometric Representation Theory (hybrid meeting) 

  [OWR-2021-52] Workshop Report 2021,52 (2021) - (31 Oct - 06 Nov 2021)

  The workshop brought together experts investigating algebraic Lie theory from the geometric and categorical viewpoints.

• 2149b - Mini-Workshop: Scattering Amplitudes, Cluster Algebras, and Positive Geometries (hybrid meeting) 

  [OWR-2021-57] Workshop Report 2021,57 (2021) - (05 Dec - 11 Dec 2021)

  Cluster algebras were developed by Fomin and Zelevinsky about twenty years ago. While the initial motivation came from within algebra (total positivity, canonical bases), it quickly became clear that cluster algebras ...

• 2114 - Arbeitsgemeinschaft: Derived Galois Deformation Rings and Cohomology of Arithmetic Groups (hybrid meeting) 

  [OWR-2021-18] Workshop Report 2021,18 (2021) - (04 Apr - 10 Apr 2021)

  The purpose of the workshop was to study derived generalizations of Mazur's deformation ring of Galois representations, and the relationship of such a derived deformation ring to the homology of arithmetic groups.

• 2141 - Arbeitsgemeinschaft: Thin Groups and Super-approximation (hybrid meeting) 

  [OWR-2021-50] Workshop Report 2021,50 (2021) - (10 Oct - 15 Oct 2021)

  The aim of this workshop was to discuss the super-approximation of thin groups, its dynamical implications in terms of the mixing of geodesic flows, and applications to various problems in arithmetic, geometry, and dynamics.

• 2142a - Mini-Workshop: Three Facets of R-Matrices (hybrid meeting) 

  [OWR-2021-51] Workshop Report 2021,51 (2021) - (17 Oct - 23 Oct 2021)

  By definition, an $R$-matrix with spectral parameter is a solution to the Yang-Baxter equation, introduced in the 1970's by C.N. Yang and R.J. Baxter. Such a matrix encodes the Boltzmann weights of a lattice model of ...

• 2140b - Geometry and Optimization in Quantum Information (hybrid meeting) 

  [OWR-2021-49] Workshop Report 2021,49 (2021) - (03 Oct - 09 Oct 2021)

  Quantum information theory seeks to understand the fundamental limits set by quantum mechanics for information processing tasks. The mathematical aspects of quantum information rely on tools from various fields including ...

• 2140a - Statistics of Stochastic Differential Equations on Manifolds and Stratified Spaces (hybrid meeting) 

  [OWR-2021-48] Workshop Report 2021,48 (2021) - (03 Oct - 09 Oct 2021)

  Statistics for stochastic differential equations (SDEs) attempts to use SDEs as statistical models for real-world phenomena. This involves an understanding of qualitative properties of this class of stochastic processes ...

• 2139 - Singularities (hybrid meeting) 

  [OWR-2021-47] Workshop Report 2021,47 (2021) - (26 Sep - 02 Oct 2021)

  Singularity theory concerns local and global structure of singularities of (algebraic) varieties and maps. As such, it combines tools from algebraic geometry, complex analysis, topology, algebra and combinatorics.

• 2138 - Homotopical Algebra and Higher Structures (hybrid meeting) 

  [OWR-2021-46] Workshop Report 2021,46 (2021) - (19 Sep - 25 Sep 2021)

  Homotopical algebra and higher category theory play an increasingly important role in pure mathematics, and higher methods have seen tremendous development in the last couple of decades. The talks delivered at the workshop ...

• 2136b - MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties (hybrid meeting) 

  [OWR-2021-43] Workshop Report 2021,43 (2021) - (05 Sep - 11 Sep 2021)

  The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of ...

• 2136a - MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology (hybrid meeting) 

  [OWR-2021-42] Workshop Report 2021,42 (2021) - (05 Sep - 11 Sep 2021)

  The first ever MATRIX-MFO tandem workshop addressed several research questions in low-dimensional topology and related areas.

• 2135 - Mathematical Aspects of General Relativity (hybrid meeting) 

  [OWR-2021-40] Workshop Report 2021,40 (2021) - (29 Aug - 04 Sep 2021)

  General relativity is an area that naturally combines differential geometry, partial differential equations, global analysis and dynamical systems with astrophysics, cosmology, high energy physics, and numerical analysis. ...

• 2126a - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics (hybrid meeting) 

  [OWR-2021-30] Workshop Report 2021,30 (2021) - (27 Jun - 03 Jul 2021)

  The investigation of Riemannian metrics with lower scalar curvature bounds has been a central topic in differential geometry for decades. It addresses foundational problems, combining ideas and methods from global analysis, ...

• 2119b - Mini-Workshop: Mathematics of Dissipation – Dynamics, Data and Control (hybrid meeting) 

  [OWR-2021-24] Workshop Report 2021,24 (2021) - (09 May - 15 May 2021)

  Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting ...

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