報(bào)告人：王周 副教授

報(bào)告題目：Leavitt path algebras and Leavitt semigroups of separated graphs

報(bào)告時(shí)間：2026年3月29日上午8：45-9：25

報(bào)告地點(diǎn)：云龍校區(qū)6號(hào)樓304報(bào)告廳

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

王周，東南大學(xué)數(shù)學(xué)學(xué)院副教授，加州大學(xué)伯克利分校數(shù)學(xué)系博士后，美國(guó)《數(shù)學(xué)評(píng)論》評(píng)論員，江蘇省數(shù)學(xué)會(huì)理事。研究領(lǐng)域是環(huán)模理論和同調(diào)代數(shù)，成果發(fā)表在J. Algebra，J. Pure Appl. Algebra，Linear Algebra Appl.等雜志上。主持國(guó)家自然科學(xué)基金面上項(xiàng)目、國(guó)家自然科學(xué)基金青年項(xiàng)目、教育部高校博士點(diǎn)新教師基金等。主持國(guó)家級(jí)一流本科課程1門(mén)，多次獲東南大學(xué)“吾愛(ài)吾師-最受歡迎老師”等。

報(bào)告摘要：

In this talk, we first introduce Non-IBN (Invariant Basis Number) property of rings, and construct of Leavitt K-algebras of type (m, n) by Leavitt path algebras of separated graphs. Then we present a necessary and sufficient condition for Leavitt path algebras of separated graphs to be finite dimensional, and give a structural characterization of finite-dimensional Leavitt path algebras of separated graphs. Finally, we discuss the relations among separated graphs, Leavitt semigroups and Leavitt path algebras. This is a joint work with Qingqing Pan and Zeyuan Hou.