Results 21 to 30 of about 44 (43)

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Abelian threefolds with imaginary multiplication

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
wiley   +1 more source

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Machine Learning Toolkits and Frameworks for Materials Design

WIREs Computational Molecular Science, Volume 16, Issue 2, March/April 2026.
Integrated machine learning toolkits for high‐throughput materials design. Major platforms for data acquisition, feature engineering, model development, interpretability, and automated workflows are summarized. Emerging directions include foundation models, self‐supervised learning, and next‐generation autonomous laboratories.
B. Moses Abraham, Yury Gogotsi
wiley   +1 more source

Projection‐based estimators for matrix/tensor‐valued data

Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 2152-2186, December 2025.
Abstract A general approach for extending estimators to matrix‐ and tensor‐valued data is proposed. The extension is based on using random projections to project out dimensions of a tensor and then computing a multivariate estimator for each projection. The mean of the obtained set of estimates is used as the final, joint estimate. In some basic cases,
Joni Virta, Stanislav Nagy, Klaus Nordhausen   +2 more
wiley   +1 more source

Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately 
Ulrich Derenthal, Florian Wilsch
wiley   +1 more source

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

The equivariant Chow rings of quot schemes

Pacific Journal of Mathematics, 2008
Frank Sottile, Tom Charles Braden
exaly