北京雁栖湖应用数学研究院

黄林哲 , 刘正伟 , 塞巴斯蒂安·帕尔库 , 王亦龙 , 吴劲松

陈权

2022年10月12日 09:30 至 10:30

1120

Zoom 537 192 5549 (BIMSA)

Given a W*-category C, we construct a unitary braided tensor category End_loc(C) of local endofunctors on C, which is a new construction of a braided tensor category associated with an arbitrary W*-category. For the W*-category of finitely generated projective modules over a von Neumann algebra M, this yields a unitary braiding on Popa's χ~(M), which extends Connes' χ(M) and Jone's kappa invariant. Given a finite depth inclusion M_0\subset M_1 of non-Gamma II_1 factors, we show that χ~(M_\infty) is equivalent to the Drinfeld center of the standard invariant, where M_infty is the inductive limit of the Jones tower of basic construction. This is joint work with Corey Jones and David Penneys (arXiv: 2111.06378).

陈权自2026年6月起担任北京雁栖湖应用数学研究院（BIMSA）助理教授。他曾于2023年秋季起在范德堡大学从事博士后研究，师从Dietmar Bisch教授。他于2023年春季获得俄亥俄州立大学数学博士学位，导师为David Penneys教授。他的研究兴趣涵盖算子代数、子因子理论和量子代数。