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For oscillatory functions on local fields coming from motivic exponential functions, we show that integrability over $Q_p^n$ implies integrability over $F_p ((t))^n$ for large $p$, and vice versa. More generally, the integrability only…

Algebraic Geometry · Mathematics 2015-01-14 Raf Cluckers , Julia Gordon , Immanuel Halupczok

For finite coverings we elucidate the interaction between transferred Chern classes and Chern classes of transferred bundles. This involves computing the ring structure for the complex oriented cohomology of various homotopy orbit spaces.…

Algebraic Topology · Mathematics 2014-10-01 Malkhaz Bakuradze , Stewart Priddy

This is a short presentation of the results for the pion-nucleon distribution amplitudes which are expressed in terms of the nucleon distribution amplitudes with the help of current algebra. Everything is considered to be at threshold.

High Energy Physics - Phenomenology · Physics 2017-08-23 Andreas Peters

We study the noncommutative generalization of (euclidean) integrable models in two-dimensions, specifically the sine- and sinh-Gordon and the U(N) principal chiral models. By looking at tree-level amplitudes for the sinh-Gordon model we…

High Energy Physics - Theory · Physics 2015-06-26 I. Cabrera-Carnero , M. Moriconi

We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and integrable systems…

Mathematical Physics · Physics 2013-03-22 G. Sardanashvily

In this paper, we study properties of nodal orders defined over arbitrary base fields. In particular we give a classification of complete real nodal orders.

Rings and Algebras · Mathematics 2024-10-10 Igor Burban , Yuriy Drozd

We give a construction of a Poisson transform mapping density valued differential forms on generalized flag manifolds to differential forms on the corresponding Riemannian symmetric spaces, which can be described entirely in terms of finite…

Differential Geometry · Mathematics 2017-01-25 Christoph Harrach

We construct N-complexes of non completely antisymmetric irreducible tensor fields on $\mathbb R^D$ generalizing thereby the usual complex (N=2) of differential forms. These complexes arise naturally in the description of higher spin gauge…

Quantum Algebra · Mathematics 2007-05-23 Michel Dubois-Violette , Marc Henneaux

This article, is devoted to $n$-EP and $n$-hypo-EP operators. We give some characteristic properties of these two classes and various links with other known classes in the literature, especially the classes of EP, SD, hypo-EP and $n$-normal…

Functional Analysis · Mathematics 2024-10-29 Rachid Semmami , Hamid Ezzahraoui , El Hassan Zerouali

In the spirit of the Ax-Kochen-Ershov principle, we show that in certain cases the burden of a Henselian valued field can be computed in terms of the burden of its residue field and that of its value group. To do so, we first see that the…

Logic · Mathematics 2020-11-24 Pierre Touchard

We study the p-adic valuation of the values of normalised Hecke eigenforms attached to non-isotrivial elliptic curves defined over function fields of transcendence degree one over finite fields of characteristic p. We derive upper bounds on…

Number Theory · Mathematics 2010-01-09 Ambrus Pal

We provide a far reaching derived equivalence classification of the cluster-tilted algebras of Dynkin type D and suggest standard forms for the derived equivalence classes. We believe that the classification is complete, but some subtle…

Representation Theory · Mathematics 2015-03-17 Janine Bastian , Thorsten Holm , Sefi Ladkani

We characterize intrinsically the truncation structures on valued fields arising from embeddings into Hahn fields with truncation closed image.

Logic · Mathematics 2025-12-30 Lou van den Dries

Given a scheme over a complete discrete valuation ring of mixed characteristic with perfect residue field, the Greenberg transform produces a new scheme over the residue field thicker than the special fiber. In this paper, we will…

Number Theory · Mathematics 2024-08-29 Alessandra Bertapelle , Takashi Suzuki

We discuss the virtual Compton scattering reaction $e^-p\to e^-p\gamma$ at low energies. We present results for the generalized polarizabilities of the nucleon obtained in heavy baryon chiral perturbation theory at $O(p^3)$.

High Energy Physics - Phenomenology · Physics 2009-10-30 T. R. Hemmert , B. R. Holstein , G. Knoechlein , S. Scherer

In this paper we introduce the notion of admissible skein modules associated to an ideal in a pivotal category. We explain how these modules are generalizations of the Kauffman skein algebra and how they relate to renormalized quantum…

Geometric Topology · Mathematics 2023-02-10 Francesco Costantino , Nathan Geer , Bertrand Patureau-Mirand

Let $p$ be a prime. In this paper we give a proof of the followingresult: A valued field $(K,v)$ of characteristic $p \textgreater{} 0$ is$p$-henselian if and only if every element of strictly positivevaluation if of the form $x^p - x$ for…

Logic · Mathematics 2015-09-16 Zoé Chatzidakis , Milan Perera

We develop a theory of generalized characters of local systems in $\infty$-categories, which extends classical character theory for group representations and, in particular, the induced character formula. A key aspect of our approach is…

Algebraic Topology · Mathematics 2025-06-04 Shachar Carmeli , Bastiaan Cnossen , Maxime Ramzi , Lior Yanovski

The general formalism for the description of neutrino oscillations in arbitrary rapidly varying external fields is elaborated. We obtain the new effective Hamiltonian which determines the evolution of the averaged neutrino wave function.…

High Energy Physics - Phenomenology · Physics 2016-12-07 Maxim Dvornikov

We relate the recognition principle for infinite $\mathbf P^1$-loop spaces to the theory of motivic fundamental classes of D\'eglise, Jin, and Khan. We first compare two kinds of transfers that are naturally defined on cohomology theories…

Algebraic Geometry · Mathematics 2020-03-25 Elden Elmanto , Marc Hoyois , Adeel A. Khan , Vladimir Sosnilo , Maria Yakerson