作用素環セミナー

過去の記録 ~02/06次回の予定今後の予定 02/07~

開催情報 水曜日 16:30~18:00 数理科学研究科棟(駒場) 122号室
担当者 河東 泰之
セミナーURL https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

2010年04月22日(木)

16:30-18:00   数理科学研究科棟(駒場) 128号室
Nigel Higson 氏 (Pennsylvania State Univ.)
The Baum-Connes Conjecture and Group Representations (ENGLISH)
[ 講演概要 ]
The Baum-Connes conjecture asserts a sort of duality between the reduced unitary dual of a group and (a variant of) the classifying space of the group. The conjectured duality occurs at the level of K-theory. For example, for free abelian groups it amounts to a K-theoretic form of Fourier-Mukai duality. The conjecture has well-known applications in topology and geometry, but it also resonates in various ways with Lie groups and representation theory. I'll try to indicate how this comes about, and then focus on a fairly new aspect of the relationship that develops some early ideas of Mackey.