Iwasawa theory of automorphic representations of \(\mathrm{GL}_{2n}\) at non-ordinary primes
From MaRDI portal
Publication:2105826
DOI10.1007/s40687-022-00360-0OpenAlexW4309749629MaRDI QIDQ2105826
Publication date: 8 December 2022
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.00715
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Iwasawa theory (11R23) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rankin-Eisenstein classes in Coleman families
- Image of functoriality for general spin groups
- Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures
- Coleman maps and the \(p\)-adic regulator
- \((p,p)\)-Galois representations attached to automorphic forms on \(\text{GL}_n\)
- Euler systems for Rankin-Selberg convolutions of modular forms
- Iwasawa theory of crystalline representations. II.
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
- Systèmes d'Euler \(p\)-adiques et théorie d'Iwasawa. (\(p\)-adic Euler systems and Iwasawa theory.)
- Iwasawa theory of \(p\)-adic representations over a local field
- \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\)
- Iwasawa theory for elliptic curves at supersingular primes
- On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I.
- On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
- Bloch and Kato's exponential map: three explicit formulas
- Automorphic induction and Leopoldt type conjectures for \(\text{GL}(n)\)
- Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions
- Arithmetic of Weil curves
- Construction of some families of 2-dimensional crystalline representations
- Galois representations.
- Construction of semi-stable \(p\)-adic representations
- Euler systems for \(\mathrm{GSp}(4)\)
- Rankin-Eisenstein classes and explicit reciprocity laws
- Iwasawa theory for Rankin-Selberg products of \(p\)-nonordinary eigenforms
- Modularity lifting theorems for ordinary Galois representations
- Wach modules and Iwasawa theory for modular forms
- Construction of automorphic Galois representations. II
- Generic transfer for general spin groups
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- On the image of complex conjugation in certain Galois representations
- Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
- Iwasawa theory for modular forms at supersingular primes
- Limites de représentations cristallines
- On the Asymptotic Growth of Bloch-Kato-Shafarevich-Tate Groups of Modular Forms Over Cyclotomic Extensions
- Iwasawa Theory of Elliptic Modular Forms Over Imaginary Quadratic Fields at Non-ordinary Primes
- L-functions of GL2n: p-adic properties and non-vanishing of twists
- On the arithmetic of Shalika models and the critical values of L-functions for GL2n
- Rankin-Eisenstein classes for modular forms
- Local-global compatibility for $l=p$, II
This page was built for publication: Iwasawa theory of automorphic representations of \(\mathrm{GL}_{2n}\) at non-ordinary primes