Universality of the cokernels of random 𝑝-adic Hermitian matrices

DOI10.1090/tran/9031arXiv2205.09368OpenAlexW4385300737MaRDI QIDQ6062125

Jungin Lee

Publication date: 30 November 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09368

zbMATH Keywords

Hermitian matricesuniversalityrandom \(p\)-adic matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Relations with random matrices (11M50)

Related Items (1)

Mixed moments and the joint distribution of random groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group schemes and local densities of ramified Hermitian lattices in residue characteristic 2. I
• Constant rank-distance sets of Hermitian matrices and partial spreads in Hermitian polar spaces
• Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
• On a Cohen-Lenstra heuristic for Jacobians of random graphs
• On Hermitian forms over dyadic non-maximal local orders
• Linear codes over finite chain rings
• Cohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields
• Random integral matrices: universality of surjectivity and the cokernel
• Asymptotics for number fields and class groups
• \(p^\ell\)-torsion points in finite abelian groups and combinatorial identities
• Heuristics on class groups and on Tate-Shafarevich groups
• Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q
• The distribution of sandpile groups of random graphs
• Random integral matrices and the Cohen-Lenstra heuristics
• Orthogonal Matrices Over Finite Fields
• Hermitian Forms Over Local Fields
• Joint distribution of the cokernels of random \(p\)-adic matrices

This page was built for publication: Universality of the cokernels of random 𝑝-adic Hermitian matrices