-
Date : 2022-11-11 (Fri) 16:00 ~ 17:00
-
Place : 27-325 (SNU)
- Speaker : Jungin Lee (KIAS)
- Title : Mixed moments and the joint distribution of random groups
- Abstract :
The moment problem is to determine whether a probability distribution is uniquely determined by its moments. Recently, the moment problem for random groups has been applied to the distribution of random groups, in particular the cokernels of random p-adic matrices. In this talk, we introduce the mixed moments of random groups and apply this to the joint distribution of random abelian and non-abelian groups. In the abelian case, we provide three universality results for the joint distribution of the multiple cokernels for random p-adic matrices. In the non-abelian case, we compute the joint distribution of random groups given by the quotients of the free profinite group by random relations. We also explain the universality of the cokernel of random Hermitian matrices over the ring of integers of a quadratic extension of Q_p, which is an analogue of the universality of random symmetric matrices over Z_p proved by Wood.
- Ref: https://sites.google.com/view/snunt/home
2022.10.24 10:52
[SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups
조회 수 1280 추천 수 0 댓글 0
일정시작 | 2022-11-11 |
---|---|
일정종료 | 2022-11-11 |
배경색상 | #FF5733 |
-
QSMS Mailing List Registration
-
weekplan_672_2020
-
[QSMS Monthly Seminar 2024-03-22] Lifting problem for universal quadratic forms / Poincare duality in Rabinowitz Floer homology
-
[SNU Topology seminar 2024-03-20] Topology of singularities of complex hypersurfaces / The monodromy conjecture for simplicial nondegenerate singularities
-
[QSMS Representation theory seminar 2024-03-29] Quantum Grothendieck rings of Hernandez-Leclerc Categories
-
[QSMS Representation theory seminar 2024-01-31] Kostant’s problem for Whittaker modules over Lie superalgebras
-
[QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~)
-
[QSMS Representation theory seminar 2023-12-28] Generalized polynomial functors
-
[QSMS Symplectic geometry seminar 2023-10-17, 18] New approaches to discovering symplectic non-convexity / Banach-Mazur distances in symplectic and contact geometry
-
[QSMS Monthly Seminar 2023-12-14] Simple singularity and their friends
-
[QSMS Monthly Seminar 2023-10-13] Quantum Grothendieck rings of Hernandez-Leclerc categories / Regular Schur labeled skew shape posets and their 0-Hecke modules
-
[QSMS Representation theory seminar - 2023-10-17] A Data-Scientific Approach to Representation Theory: Case Study of Kronecker Coefficients
-
[KMS Specical Conference with 2022 Fields Medalists] Related talks
-
[QSMS Monthly Seminar] Quiver Hecke algebras and open Richardson varieties
-
[QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians
-
[QSMS Monthly Seminar 2023-11-11] Cluster structures on polygon spaces / From classical to quantum integrability
-
[QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds
-
[QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism
-
[QSMS Seminar 2023-10-06, 11-03] Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups / Poisson q-W-algebras
-
[QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section
-
[QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts