Results 31 to 40 of about 840,424 (97)

Algebraic chromatic homotopy theory for $BP_*BP$-comodules

, 2017
In this paper, we study the global structure of an algebraic avatar of the derived category of ind-coherent sheaves on the moduli stack of formal groups.
Barthel, Tobias, Heard, Drew
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A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

Units in group rings and blocks of Klein four or dihedral defect

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3470-3489, November 2025.
Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley   +1 more source

Stable‐limit partially symmetric Macdonald functions and parabolic flag Hilbert schemes

Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.
Abstract The modified Macdonald functions H∼μ$\widetilde{H}_{\mu }$ are fundamental objects in modern algebraic combinatorics. Haiman showed that there is a correspondence between the (C∗)2$(\mathbb {C}^{*})^2$‐fixed points Iμ$I_{\mu }$ of the Hilbert schemes Hilbn(C2)$\mathrm{Hilb}_{n}(\mathbb {C}^2)$ and the functions H∼μ$\widetilde{H}_{\mu ...
Milo Bechtloff Weising, Daniel Orr
wiley   +1 more source

Hypermatrix factors for string and membrane junctions

, 2010
The adjoint representations of the Lie algebras of the classical groups SU(n), SO(n), and Sp(n) are, respectively, tensor, antisymmetric, and symmetric products of two vector spaces, and hence are matrix representations.
, Aharony O, Bastianelli F, Capdevielle B, Cayley A, Daniel Thompson, de Medeiros P, Egorov G V, Fehér L M, Fulton W, Green M, Henningson M, Herz C, Hisham Sati, Hitchcock F L, Katanova A A, Nurmiev A G, Onishchik A L, Redelmeier D, Revoy Ph, Sati H, Shir Levkowitz, Sokolov N P, Vinberg E B, Vinberg E B, Vinberg E B, West P, Yuhan Fang   +27 more
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A note on local formulae for the parity of Selmer ranks

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.
Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
wiley   +1 more source

Motivic p$p$‐adic tame cohomology

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3194-3210, October 2025.
Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
wiley   +1 more source

The relative Hodge–Tate spectral sequence for rigid analytic spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley   +1 more source

Formal equivalence of Poisson structures around Poisson submanifolds [PDF]

, 2010
Let (M, {\pi} ) be a Poisson manifold. A Poisson submanifold $P \in M$ gives rise to an algebroid $AP \rightarrow P$, to which we associate certain chomology groups which control formal deformations of {\pi} around P .
Marcut, Ioan
core