Text only print
Full screen print
Colloquium
Seminar information archive ～06/14｜Next seminar｜Future seminars 06/15～
| Organizer(s) | AIDA Shigeki (chair), IKE Yuichi, IMAI Naoki, HAYASHI Shuhei |
|---|---|
| URL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium_e/index_e.html |
Future seminars
2026/06/26
15:30-16:30 Room #NISSAY Lecture Hall (Graduate School of Math. Sci. Bldg.)
Bez Neal (Graduate School of Mathematical Sciences, The University of Tokyo)
The Kakeya conjecture and the Brascamp-Lieb inequality (日本語)
Bez Neal (Graduate School of Mathematical Sciences, The University of Tokyo)
The Kakeya conjecture and the Brascamp-Lieb inequality (日本語)
[ Abstract ]
Despite being ostensibly a problem in geometric measure theory,
the Kakeya conjecture has huge significance in modern Fourier analysis.
After discussing this connection,
I will explain the relevance of the Brascamp-Lieb inequality in this context
and introduce some recent progress in the theory of this inequality.
Despite being ostensibly a problem in geometric measure theory,
the Kakeya conjecture has huge significance in modern Fourier analysis.
After discussing this connection,
I will explain the relevance of the Brascamp-Lieb inequality in this context
and introduce some recent progress in the theory of this inequality.
2026/07/17
15:30-16:30 Room #NISSAY Lecture Hall (Graduate School of Math. Sci. Bldg.)
Hiroki Matui (Graduate School of Mathematical Sciences, The University of Tokyo)
Topological Full Groups and C*-Algebras Arising from Dynamical Systems (日本語)
Hiroki Matui (Graduate School of Mathematical Sciences, The University of Tokyo)
Topological Full Groups and C*-Algebras Arising from Dynamical Systems (日本語)
[ Abstract ]
From a minimal dynamical system on a Cantor set, one can construct a countably infinite group called the topological full group. This group has the remarkable property that its commutator subgroup is simple, and various dynamical systems thus give rise to infinite groups with interesting properties. Taking as a main example the Stein groups introduced by Stein in 1992, I will survey and discuss some recent developments in this area. Time permitting, I will also touch on connections with C*-algebras constructed from dynamical systems and their K-groups, as well as with the homology groups of the dynamical systems themselves.
From a minimal dynamical system on a Cantor set, one can construct a countably infinite group called the topological full group. This group has the remarkable property that its commutator subgroup is simple, and various dynamical systems thus give rise to infinite groups with interesting properties. Taking as a main example the Stein groups introduced by Stein in 1992, I will survey and discuss some recent developments in this area. Time permitting, I will also touch on connections with C*-algebras constructed from dynamical systems and their K-groups, as well as with the homology groups of the dynamical systems themselves.
