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Unpublished Oberwolfach Reports can be found at the Workshop Homepage.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

### Recent Submissions

• #### 2050a - New Directions in Rough Path Theory (online meeting) ﻿

[OWR-2020-40] (2020) - (06 Dec - 12 Dec 2020)
Rough path theory emerged as novel approach for dealing with interactions in complex random systems. It settled significant questions and provided an effective deterministic alternative to Itô calculus, itself a major ...
• #### 2048c - Mini-Workshop: Nonlocal Analysis and the Geometry of Embeddings (hybrid meeting) ﻿

[OWR-2020-37] (2020) - (22 Nov - 28 Nov 2020)
Both self-avoidance and self-contact of geometric objects can be modeled using repulsive energies that separate isotopy classes. Giving rise to nonlocal operators, they are interesting objects in their own right. Moreover, ...
• #### 2051 - History of Mathematics: A Global Cultural Approach (online meeting) ﻿

[OWR-2020-41] (2020) - (13 Dec - 19 Dec 2020)
The primary purpose of this workshop was to take account of progress on an ongoing six-volume cultural history of mathematics from antiquity to the present. This project is led by nine editors working with a large team of ...
• #### 2037b - Structure-Preserving Discretizations for Nonlinear Systems of ﻿

[OWR-2020-28] (2020) - (06 Sep - 12 Sep 2020)
Because of the pandemia, the workshop on Structure-Preserving Discretizations for Nonlinear Systems of Hyperbolic, Involution-Constrained Partial Differential Equations on Manifolds" could not be realized in the usual ...
• #### 2049 - Classical and Quantum Mechanical Models of Many-Particle Systems (online meeting) ﻿

[OWR-2020-38] (2020) - (29 Nov - 05 Dec 2020)
The collective behaviour of many-particle systems is a common denominator in the challenges of a highly diverse range of applications: from classical problems in Physics (gas dynamics e.g. Boltzmann's equation, plas\-ma ...
• #### 2050 - Computational Inverse Problems for Partial Differential Equations (hybrid meeting) ﻿

[OWR-2020-39] (2020) - (06 Dec - 12 Dec 2020)
Inverse problems in partial differential equations (PDEs) consist in reconstructing some part of a PDE such as a coefficient, a boundary condition, an initial condition, the shape of a domain, or a singularity from ...
• #### 2051a - Mini-Workshop: Relativistic Fluids at the Intersection of Mathematics and Physics (online meeting) ﻿

[OWR-2020-42] (2020) - (13 Dec - 19 Dec 2020)
Relativistic Hydrodynamics is the description of fluid motion in regimes where relativistic effects are important. This is the case for fluids moving at high velocities or interacting with very strong gravitational fields, ...
• #### 2047b - Mini-Workshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case (online meeting) ﻿

[OWR-2020-35] (2020) - (15 Nov - 21 Nov 2020)
The goal of this mini-workshop is to gather specialists of the dimer, Ising and spanning tree models around recent and ongoing progress in two directions. One is understanding the connection to the spectral curve of these ...
• #### 2047c - Mini-Workshop: Computational Optimization on Manifolds (online meeting) ﻿

[OWR-2020-36] (2020) - (15 Nov - 21 Nov 2020)
The goal of the mini-workshop was to study the geometry, algorithms and applications of unconstrained and constrained optimization problems posed on Riemannian manifolds. Focus topics included the geometry of particular ...
• #### 2040b - Stochastic Processes under Constraints (hybrid meeting) ﻿

[OWR-2020-32] (2020) - (27 Sep - 03 Oct 2020)
The analysis of random processes under various constraints and conditions has been a central theme in the theory of stochastic processes, which links together several mathematical subdisciplines. The connection ...
• #### 2046 - Mathematical Logic: Proof Theory, Constructive Mathematics (hybrid meeting) ﻿

[OWR-2020-34] (2020) - (08 Nov - 14 Nov 2020)
The Workshop "Mathematical Logic: Proof Theory, Constructive Mathematics" focused on proofs both as formal derivations in deductive systems as well as on the extraction of explicit computational content from given ...
• #### 2039 - Discrete Geometry (hybrid meeting) ﻿

[OWR-2020-30] (2020) - (20 Sep - 26 Sep 2020)
A number of important recent developments in various branches of discrete geometry were presented at the workshop, which took place in hybrid format due to a pandemic situation. The presentations illustrated both the ...
• #### 1950 - Random Matrices ﻿

[OWR-2019-56] (2019) - (08 Dec - 14 Dec 2019)
Large complex systems tend to develop universal patterns that often represent their essential characteristics. For example, the cumulative effects of independent or weakly dependent random variables often yield the Gaussian ...
• #### 1947 - Heat Kernels, Stochastic Processes and Functional Inequalities ﻿

[OWR-2019-54] (2019) - (17 Nov - 23 Nov 2019)
The aims of the 2019 workshop \emph{Heat Kernels, Stochastic Processes and Functional Inequalities} were: (a) to provide a forum to review recent progresses in a wide array of areas of analysis (elliptic, subelliptic and ...
• #### 1946c - Mini-Workshop: Seshadri Constants ﻿

[OWR-2019-53] (2019) - (10 Nov - 16 Nov 2019)
Seshadri constants were defined by Demailly around 30 years ago using the ampleness criterion of Seshadri. Demailly was interested in studying problems related to separation of jets of line bundles on projective varieties, ...
• #### 1946b - Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups ﻿

[OWR-2019-52] (2019) - (10 Nov - 16 Nov 2019)
Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups $\operatorname{SL}_2(k)$. The most interesting examples arise from exceptional algebraic groups of relative rank ...
• #### 1945 - Analytic Number Theory ﻿

[OWR-2019-50] (2019) - (03 Nov - 09 Nov 2019)
Analytic number theory is a subject which is central to modern mathematics. There are many important unsolved problems which have stimulated a large amount of activity by many talented researchers. At least two of the ...
• #### 1944 - Subfactors and Applications ﻿

[OWR-2019-49] (2019) - (27 Oct - 02 Nov 2019)
The theory of subfactors connects diverse topics in mathematics and mathematical physics such as tensor categories, vertex operator algebras, quantum groups, quantum topology, free probability, quantum field theory, ...
• #### 1942 - Arbeitsgemeinschaft: Zimmer's Conjecture ﻿

[OWR-2019-48] (2019) - (13 Oct - 18 Oct 2019)
The aim of this Arbeitsgemeinschaft was to understand the recent progress on Zimmer's conjecture in [1,2]. The week focuses on the cocompact case from [1].
• #### 1941c - Mini-Workshop: Self-adjoint Extensions in New Settings ﻿

[OWR-2019-47] (2019) - (06 Oct - 12 Oct 2019)
The main focus of the workshop is on the analysis of boundary value problems for differential and difference operators in some non-classical geometric settings, such as fractal graphs, sub-Riemannian manifolds or non-elliptic ...