?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2022-11-11
일정종료 2022-11-11
배경색상 #FF5733
  • 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

List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 2461
62 [QSMS Seminar 20220721] Finding ALL solutions qsms 2022.07.14 1385
61 [SNU Number Theory Seminar 2022-06-21] Arithmetic local systems over the moduli space of curves qsms 2022.07.21 840
60 [SNU Number Theory Seminar 2022-08-08] Geometry of the $B_{dR}^+$-Grassmannian qsms 2022.08.04 867
59 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 851
58 [QSMS Seminar 2022-08-24] Vector bundles and representation theory on a curve qsms 2022.08.13 835
57 [QSMS Seminar 2022-08-31] Localization of the category of modules over quiver Hecke algebras qsms 2022.08.25 835
56 [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 750
55 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 701
54 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 670
53 [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 611
52 [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 579
51 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 589
50 [QSMS Monthly Seminar 2022-09-30] Monotone Lagrangians via toric degenerations: algebraic approach qsms 2022.09.30 671
49 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 548
» [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 647
47 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 629
46 [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions qsms 2022.10.27 717
45 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 543
44 [QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction qsms 2022.11.25 597
43 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 609
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8