標(biāo)題：Leibniz $2$-algebras, linear $2$-racks and the Zamolodchikov Tetrahedron equation
報(bào)告時(shí)間：2025年11月9日（星期日）15:00-16:00
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院317教室
主講人： 生云鶴
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
First we show that a central Leibniz 2-algebra naturally gives rise to a solution of the Zamolodchikov Tetrahedron equation. Then we introduce the notion of linear 2-racks and show that a linear 2-rack also gives rise to a solution of the Zamolodchikov Tetrahedron equation. We show that a central Leibniz 2-algebra gives rise to a linear 2-rack if the underlying 2-vector space is splittable. Finally we discuss the relation between linear 2-racks and 2-racks, and show that a linear 2-rack gives rise to a 2-rack structure on the group-like category. A concrete example of strict 2-racks is constructed from an action of a strict 2-group.
主講人簡(jiǎn)介：
生云鶴，吉林大學(xué)數(shù)學(xué)學(xué)院副院長(zhǎng)、教授、博士生導(dǎo)師，吉林省政府津貼專(zhuān)家。主要研究領(lǐng)域?yàn)?/span>Poisson幾何、非線(xiàn)性李理論、高階李理論與數(shù)學(xué)物理等。在《Adv. Math.》《Math. Ann.》《Comm. Math. Phys.》《Trans. Amer. Math. Soc.》《Int. Math. Res. Not. IMRN》、《J. Noncommut. Geom.》《J. Algebra》《Pacific J. Math.》等著名期刊發(fā)表學(xué)術(shù)論文90余篇。主持國(guó)家自然科學(xué)優(yōu)秀青年基金、面上項(xiàng)目、青年項(xiàng)目、天元項(xiàng)目以及博士后基金項(xiàng)目等多項(xiàng)，并擔(dān)任《數(shù)學(xué)進(jìn)展》、《J. Nonlinear Math. Phys.》雜志編委。
