Results 41 to 50 of about 114 (105)

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

Noncommutative Main Conjectures of Geometric Iwasawa Theory [PDF]

, 2012
Notes from the "Instructional workshop on the noncommutative main conjectures" held in M\"unster, April 26 - 30, 2011, http://wwwmath.uni-muenster.de/u/schneider/Workshop_2011/index.html. Changes according to the suggestions of the referee, in particular, correcting the statement of Prop. 2.4 and adding more details to its proof.
openaire   +2 more sources

A main conjecture in non-commutative Iwasawa theory

, 2023
Wir formulieren eine neuartige äquivariante Hauptvermutung der Iwasawa-Theorie über Zahlkörpern und studieren deren Eigenschaften. Dies wird für beliebige eindimensionale p-adische LieErweiterungen L∞/K durchgeführt, welche die zyklotomische Zp-Erweiterung des Grundkörpers enthalten.
openaire   +4 more sources

The growth of Tate–Shafarevich groups of p$p$‐supersingular elliptic curves over anticyclotomic Zp${\mathbb {Z}}_p$‐extensions at inert primes

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
wiley   +1 more source

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

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

An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture

Documenta Mathematica, 2013
We formulate and prove an Equivariant Main Conjecture (EMC) for \it all prime numbers p under the assumptions \mu = 0
openaire   +2 more sources

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, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source

Changes Over a 10‐Year Period in the Distribution Ranges and Genetic Hybridization of Three Pelophylax Pond Frogs in Central Japan

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, Tomoya Suzuki, Shohei Komaki, Koji Tojo   +3 more
wiley   +1 more source

A Main Conjecture in non-commutative Iwasawa theory

, 2022
We formulate a new equivariant Main Conjecture in Iwasawa theory of number fields and study its properties. This is done for arbitrary one-dimensional $p$-adic Lie extensions $L_\infty/K$ containing the cyclotomic $\mathbb{Z}_p$-extension $K_\infty$ of the base field.
openaire   +2 more sources