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Unpublished Oberwolfach Reports can be found at the Workshop Homepage. See Annual Schedules for details.

### Recent Submissions

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

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

[OWR-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 â€“ Dynamics, Data and Control (hybrid meeting) ﻿

[OWR-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 ...
• #### 2123 - Analysis, Geometry and Topology of Singular PDE (hybrid meeting) ﻿

[OWR-2021-27] (2021) - (06 Jun - 12 Jun 2021)
This is a report on the Oberwolfach conference "Analysis, geometry and topology of singular PDE'', June 2-12, 2021. This workshop, held in an hybrid format, focused on the topology, geometry and geometric analysis of ...
• #### 2125 - Classical Algebraic Geometry (hybrid meeting) ﻿

[OWR-2021-29] (2021) - (20 Jun - 26 Jun 2021)
Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems in the development of the field. Examples include new invariants that capture some aspect of ...
• #### 2124 - Enumerative Geometry of Surfaces (hybrid meeting) ﻿

[OWR-2021-28] (2021) - (13 Jun - 19 Jun 2021)
The recent developments in hyperbolic geometry and flat geometry in real dimension $2$ formed the core of the workshop, with an emphasis on enumerative aspects. A particularly important role in this regard was played by ...
• #### 2126b - Numerical Methods for Fully Nonlinear and Related PDEs (hybrid meeting) ﻿

[OWR-2021-31] (2021) - (27 Jun - 03 Jul 2021)
The aim of this workshop was to discuss the challenges, latest trends and advancements on numerical methods for fully nonlinear PDEs. The construction of numerical schemes and their convergence analysis is still an emerging ...
• #### 2122 - Mathematics and its Ancient Classics Worldwide: Translations, Appropriations, Reconstructions, Roles (hybrid meeting) ﻿

[OWR-2021-26] (2021) - (30 May - 05 Jun 2021)
The workshop analyzes the constitution, recovery, and role of the classical texts in mathematical practice throughout history. It aims at problematizing the notion of "classic", to make it a historical category and to study ...
• #### 2120 - Geometric Methods of Complex Analysis (hybrid meeting) ﻿

[OWR-2021-25] (2021) - (16 May - 22 May 2021)
The purpose of this workshop was to discuss recent results in Several Complex Variables, Complex Geometry and Complex Dynamical Systems with a special focus on the exchange of ideas and methods among these areas. The main ...
• #### 2118 - Foundations of Bayesian Inference for Complex Statistical Models (hybrid meeting) ﻿

[OWR-2021-22] (2021) - (02 May - 08 May 2021)
In this virtual workshop a variety of recent developments in Bayesian high-dimensional and nonparametric statistics were discussed in depth. There were 12 in depth talks delivered via zoom in the afternoons (to allow for ...
• #### 2112 - Mathematical Foundations of Machine Learning (hybrid meeting) ﻿

[OWR-2021-15] (2021) - (21 Mar - 27 Mar 2021)
Machine learning has achieved remarkable successes in various applications, but there is wide agreement that a mathematical theory for deep learning is missing. Recently, some first mathematical results have been derived ...
• #### 2119a - Mini-Workshop: Analysis of Data-driven Optimal Control (hybrid meeting) ﻿

[OWR-2021-23] (2021) - (09 May - 15 May 2021)
This hybrid mini-workshop discussed recent mathematical methods for analyzing the opportunities and limitations of data-driven and machine-learning approaches to optimal feedback control. The analysis concerned all aspects ...
• #### 2117 - Computability Theory (hybrid meeting) ﻿

[OWR-2021-21] (2021) - (25 Apr - 01 May 2021)
Over the last decade computability theory has seen many new and fascinating developments that have linked the subject much closer to other mathematical disciplines inside and outside of logic. This includes, for instance, ...
• #### 2116 - Algebraic Groups (hybrid meeting) ﻿

[OWR-2021-20] (2021) - (18 Apr - 24 Apr 2021)
Linear algebraic groups is an active research area in contempo- rary mathematics. It has rich connections to algebraic geometry, representa- tion theory, algebraic combinatorics, number theory, algebraic topology, ...
• #### 2112a - Small Collaboration: Numerical Analysis of Electromagnetic Problems (hybrid meeting) ﻿

[OWR-2021-16] (2021) - (21 Mar - 27 Mar 2021)
The classical theory of electromagnetism describes the interaction of electrically charged particles through electromagnetic forces, which are carried by the electric and magnetic fields. The propagation of the electromagnetic ...
• #### 2103 - Spatial Networks and Percolation (hybrid meeting) ﻿

[OWR-2021-4] (2021) - (17 Jan - 23 Jan 2021)
The classical percolation problem is to find whether there is an infinite connected component in a random set created by removing edges from a $d$-dimensional lattice, independently at random. Since its introduction into ...
• #### 2115a - Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations (hybrid meeting) ﻿

[OWR-2021-19] (2021) - (11 Apr - 17 Apr 2021)
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, ...
• #### 2113 - Geometric Numerical Integration (hybrid meeting) ﻿

[OWR-2021-17] (2021) - (28 Mar - 03 Apr 2021)
The topics of the workshop included interactions between geometric numerical integration and numerical partial differential equations; geometric aspects of stochastic differential equations; interaction with optimisation ...
• #### 2111 - Homogenization Theory: Periodic and Beyond (online meeting) ﻿

[OWR-2021-14] (2021) - (14 Mar - 20 Mar 2021)
The objective of the workshop has been to review the latest developments in homogenization theory for a large category of equations and settings arising in the modeling of solid, fluids, wave propagation, heterogeneous ...
• #### 2108 - Applications of Optimal Transportation in the Natural Sciences (online meeting) ﻿

[OWR-2021-10] (2021) - (21 Feb - 27 Feb 2021)
Concepts and methods from the mathematical theory of optimal transportation have reached significant importance in various fields of the natural sciences. The view on classical problems from a "transport perspective'' ...