Results 41 to 50 of about 14,098 (157)
Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
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Iwasawa Dieudonné theory of function fields
, 2022 Let $k$ be a perfect field of characteristic $p$ and $Γ$ an infinite, first countable pro-$p$ group. We study the behavior of the $p$-primary part of the "motivic class group", i.e. the full $p$-divisible group of the Jacobian, in any $Γ$-tower of function fields over $k$ that is unramified outside a finite (possibly empty) set of places $Σ$, and ...
openaire +2 more sources
Explicit computations in Iwasawa theory [PDF]
The Open Book Series, 2019 to appear in proceedings of ANTS ...
Broker, Reinier +2 more
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Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
Pseudo-modularity and Iwasawa theory [PDF]
American Journal of Mathematics, 2018 Changes to section 5.9; typos corrected. To appear in Amer. J. Math.
Wake, P, Wang-Erickson, C
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Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley +1 more source
Parity of ranks of Jacobians of curves
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
Iwasawa theory for $K(1)$-local spectra [PDF]
Transactions of the American Mathematical Society, 2007 This 32-page long paper is concerned with a connection between Iwasawa theory and \(p\)-adic \(K\)-theory. According to the authors this connection seems to have already been pointed out in the papers by \textit{A. K. Bousfield} [Topology 18, 257--281 (1979; Zbl 0417.55007)] and \textit{D. C. Ravenel} [Am. J. Math. 106, 351--414 (1984; Zbl 0586.55003)].
Hahn, Rebekah, Mitchell, Stephen
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Ecology and Evolution, Volume 15, Issue 8, August 2025.We used genetic analysis to evaluate interspecific hybridization in the genus Pelophylax reported as contact/overlapped areas in the central Japanese Archipelago and compared the results with those from a survey conducted in 2010. The results showed slightly different hybridization progression patterns in the two hybridization zones in the study area ...
Shonosuke Shigeta +3 more
wiley +1 more source