?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
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
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 11606
146 weekplan_672_2020 secret qsms 2020.11.18 0
145 [초청강연 2020.11.27] Zeta함수와 L함수에 대한 역사적 고찰II qsms 2020.11.23 34523
144 [초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰 qsms 2020.11.18 6220
143 [정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV qsms 2021.07.29 4347
142 [사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry qsms 2021.07.05 3925
141 [SNU Topology seminar 2024-03-20] Topology of singularities of complex hypersurfaces / The monodromy conjecture for simplicial nondegenerate singularities qsms 2024.03.05 2656
140 [SNU Number Theory Seminiar] 2021.10.15 qsms 2021.09.09 3814
139 [SNU Number Theory Seminiar] 2021.10.08 qsms 2021.08.23 24202
138 [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility file qsms 2021.10.29 3968
137 [SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions qsms 2021.10.20 3681
136 [SNU Number Theory Seminar 6 ~ 7 Feb] Prismatic F-crystals and applications to p-adic Galois representations qsms 2023.02.13 3348
135 [SNU Number Theory Seminar 31 Mar] Height gap theorem and almost law qsms 2023.03.02 3294
134 [SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami? qsms 2023.06.26 3319
133 [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line qsms 2023.04.20 3216
132 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 3268
131 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 3297
130 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 3421
129 [SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one qsms 2022.11.28 3082
» [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 3185
127 [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions qsms 2022.10.27 3028
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8