報告題目：Annihilation of rack and quandle homology groups of finite quasigroup quandles
報 告 人：Seung Yeop Yang副教授 Kyungpook National University
報告時間：2020年9月9日 13:00 - 14:00 PM
報告地點：Zoom ID：882 5486 0575; PW: 6VtwZq
校内聯系人：王骁 wangxiaotop@jlu.edu.cn
報告摘要：
It is a classical result in reduced homology of finite groups that the order of a group annihilates its homology. The first general results in this direction were obtained independently about 2001 by R. A. Litherland and S. Nelson, and P. Etingof and M. Grana. The result of Litherland-Nelson is generalized by Niebrzydowski and Przytycki and in particular, they prove that the torsion part of the homology of the dihedral quandle of order 3 is annihilated by 3. In Niebrzydowski-Przytycki's paper, it is conjectured that for a finite quasigroup quandle, torsion of its homology is annihilated by the order of the quandle. The conjecture is proved by T. Nosaka for finite Alexander quasigroup quandles. In this talk, we prove the conjecture in full generality, and find upper bounds for the torsion of rack homology of some finite quandles.
報告人簡介：
Seung Yeop Yang副教授，現任職于韓國Kyungpook National University。他主要從事低維拓撲與紐結理論的研究。
