報告題目：Lie brackets on affine spaces
報 告 人：Tomasz Brzeziński
所在單位：Swansea University and University of Białystok
報告時間：2024年3月7日 20:00-22:00
報告地點：ZOOM Id：904 645 6677，Password：2024
會議鍊接：
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=87511211646
報告摘要: Abstract: We first explore the definition of an affine space which makes no reference to the underlying vector space and then formulate the notion of a Lie bracket and hence a Lie algebra on an affine space in this framework. Since an affine space has neither distinguished elements nor additive structure, the concepts of antisymmetry and Jacobi identity need to be modified. We provide suitable modifications and illustrate them by a number of examples from matrix algebra and geometry.
報告人簡介：Tomasz Brzeziński is a Professor of Mathematics at Swansea University (UK) and University of Białystok (Poland). He is a mathematician specialising in Algebra (in particular studies of various algebraic structures such as rings, modules, corings, comodules, Hopf algebras etc.), Noncommutative Geometry (both algebraic and differential, with particular stress put on symmetry aspects), Category Theory and some aspects of Mathematical Physics (quantum groups, integrable systems). He is the author or co-author of a monograph and over 110 papers (written with ca 45 co-authors). One of his notable achievement is the revival and significant development of the theory of corings (new AMS classification category has been created for corings and comodules as a result of this activity).
