Results 51 to 60 of about 1,701 (164)
Conformal optimization of eigenvalues on surfaces with symmetries
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source
Discretised sum‐product theorems by Shannon‐type inequalities
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract By making use of arithmetic information inequalities, we give a strong quantitative bound for the discretised ring theorem. In particular, we show that if A⊂[1,2]$A \subset [1,2]$ is a (δ,σ)$(\delta,\sigma)$‐set, with |A|=δ−σ$|A| = \delta ^{-\sigma }$, then A+A$A+A$ or AA$AA$ has δ$\delta$‐covering number at least δ−c|A|$\delta ^{-c}|A|$ for ...
András Máthé, William O'Regan
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Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
7‐Location, weak systolicity, and isoperimetry
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract m$m$‐Location is a local combinatorial condition for flag simplicial complexes introduced by Osajda. Osajda showed that simply connected 8‐located locally 5‐large complexes are hyperbolic. We treat the nonpositive curvature case of 7‐located locally 5‐large complexes.
Nima Hoda, Ioana‐Claudia Lazăr
wiley +1 more source
International Journal Of Mathematical Combinatorics, Vol.3A
, 2009 Linfan Mao
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Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
International Journal Of Mathematical Combinatorics, Volume 3, 2012
, 2012 Linfan Mao
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International Journal Of Mathematical Combinatorics, Volume 3, 2009
, 2009 Linfan Mao
openalex +1 more source