Results 11 to 20 of about 61 (61)
Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023 Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
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Arithmetic and metric aspects of open de Rham spaces
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 958-1027, October 2023., 2023 Abstract In this paper, we determine the motivic class — in particular, the weight polynomial and conjecturally the Poincaré polynomial — of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on the trivial rank n$n$ bundle on P1$\mathbb {P}^1$.
Tamás Hausel +2 more
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Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor
Mathematische Nachrichten, Volume 296, Issue 7, Page 2975-3002, July 2023., 2023 Abstract We show that the stability conditions on the Kuznetsov component of a Gushel–Mukai threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL2+(R)$\text{GL}^+_2(\operatorname{\mathbb {R}})$.
Laura Pertusi, Ethan Robinett
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On the BPS Sector in AdS3/CFT2 Holography
Fortschritte der Physik, Volume 71, Issue 4-5, May 2023., 2023 Abstract The BPS sector in AdS3/CFT2$AdS_3/CFT_2$ duality has been fertile ground for the exploration of gauge/gravity duality, from the match between black hole entropy and the CFT elliptic genus to the construction of large families of geometrical microstates and the identification of the corresponding states in the CFT.
Emil J. Martinec +2 more
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A Teichmüller space for negatively curved surfaces
Proceedings of the London Mathematical Society, Volume 126, Issue 3, Page 900-922, March 2023., 2023 Abstract We first describe the action of the fundamental group of a closed surface Σ$\Sigma$ of variable negative curvature on the oriented geodesics in its universal covering in terms of a naturally defined flat connection whose holonomy lies in the group of Hamiltonian diffeomorphisms of S1×R$S^1\times \mathbf {R}$.
Nigel Hitchin
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Inducing Coverings on Hilbert Schemes
Mathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
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Simple normal crossing Kähler–Einstein metrics and RCD spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We show that Kähler–Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define Riemannian Curvature Dimension (RCD) spaces, both in the compact setting and in certain non‐compact cases, thereby producing many examples of Einstein RCD spaces. In particular, we show the existence of smooth non‐compact 4‐manifolds
Martin de Borbon, Cristiano Spotti
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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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
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Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
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