Mini-workshop: Combinatorial and algebraic structures in rough analysis and related fields. Abstracts from the mini-workshop held November 26 -- December 2, 2023
DOI10.4171/owr/2023/54zbMATH Open1546.00049MaRDI QIDQ6613398
No author found.
Publication date: 2 October 2024
Published in: Oberwolfach Reports (Search for Journal in Brave)
Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to combinatorics (05-06) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Proceedings, conferences, collections, etc. pertaining to probability theory (60-06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to category theory (18-06) Hopf algebras and their applications (16T05) Rough paths (60L20) Operads (general) (18M60) Signatures and data streams (60L10) 2-groups, crossed modules, crossed complexes (18G45) Regularity structures (60L30) Algebraic structures and computation (60L70)
Cites Work
- Unnamed Item
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- Homotopy Batalin-Vilkovisky algebras
- A theory of regularity structures
- Smooth functors vs. differential forms
- An invitation to higher gauge theory
- Proof of the Bogoliubov-Parasiuk theorem on renormalization
- Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
- Ramification of rough paths
- Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
- Stochastic calculus in manifolds. With an appendix by P.A. Meyer
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Differential equations driven by rough signals
- Hopf algebras, renormalization and noncommutative geometry
- Trees, free right-symmetric algebras, free Novikov algebras and identities
- Low regularity exponential-type integrators for semilinear Schrödinger equations
- Quasilinear SPDEs via rough paths
- An analyst's take on the BPHZ theorem
- Algebraic renormalisation of regularity structures
- Homotopy invariant algebraic structures on topological spaces
- Finite dimensional comodules over the Hopf algebra of rooted trees
- Controlling rough paths
- The minimal model for the Batalin-Vilkovisky operad
- Rough solutions for the periodic Korteweg-de Vries equation
- Quasi-shuffle products
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models
- Error analysis of a class of semi-discrete schemes for solving the Gross-Pitaevskii equation at low regularity
- Langevin dynamic for the 2D Yang-Mills measure
- Enriched pre-Lie operads and freeness theorems
- Nondivergence form quasilinear heat equations driven by space-time white noise
- Word operads and admissible orderings
- A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation
- Operadic twisting -- with an application to Deligne's conjecture
- Geometric versus non-geometric rough paths
- Recursive formulae in regularity structures
- An isomorphism between branched and geometric rough paths
- A rough path perspective on renormalization
- Convergence of Bogoliubov's method of renormalization in momentum space
- Homology and minimal model of Gerstenhaber algebras.
- Higher Koszul algebras and \(A\)-infinity algebras.
- An inequality of the Hölder type, connected with Stieltjes integration.
- Renormalising SPDEs in regularity structures
- Noncommutative differential calculus, homotopy BV algebras and formality conjectures
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- A Survey on Koszul Algebras and Koszul Duality
- On the Lie enveloping algebra of a pre-Lie algebra
- Geometric Quantization and No Go Theorems
- VARIETIES OF SIGNATURE TENSORS
- Strongly homotopy lie algebras
- A General Framework of Low Regularity Integrators
- Resonance-based schemes for dispersive equations via decorated trees
- A first-order Fourier integrator for the nonlinear Schrödinger equation on 𝕋 without loss of regularity
- A symmetric low-regularity integrator for nonlinear Klein-Gordon equation
- F‐Manifolds and geometry of information
- Geometric stochastic heat equations
- A Solution Theory for Quasilinear Singular SPDEs
- HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS
- Geometric Numerical Integration
- Rigidity of Generalized Uniserial and Frobenius Algebras
- An Algebraic Theory of Integration Methods
- Koszul Resolutions
- Homotopy Associativity of H-Spaces. I
- Hopf-algebraic Deformations of Products and Wick Polynomials
- Stochastic quantization of Yang–Mills
- A course on rough paths. With an introduction to regularity structures
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
- Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
- The structure group for quasi-linear equations via universal enveloping algebras
- Quasi-geometric rough paths and rough change of variable formula
- Approximations of dispersive PDEs in the presence of low-regularity randomness
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