【讲座预告】Key results and recent advances in Dynamic Geometry
日期： 2024年04月03日 10:30 浏览量：
报告题目：Key results and recent advances in Dynamic Geometry 
报告人:Ovidiu Bagdasar
E-mail: ob115@leicester.ac.uk
报告时间：2024年4月8日（周一）15:30
报告地点：A01-N405
邀请人：张金涛
报告摘要：
Dynamic geometry is primarily concerned with processes defined in the complex plane, in which, starting from a given configuration F0 and a sequence of transformations (Tn)n≥0, one obtains a configuration Fn+1 by applying the transformation Tn to shape Fn, giving Fn+1=Tn(Fn).
Several questions now arise:
1) Can we find the exact shape after n iterations?
2) Does the sequence (Fn)n≥0 converge to a fixed configuration?
3) Does (Fn)n≥0 converge to a fixed shape?
4) If convergent, can we identify the limit of (Fn)n≥0?
5) Can we recover the initial configuration based on the configuration obtained after n steps, and the information on the iterations (Tn)n≥0?
These questions will be discussed in the context of simple but surprising triangle iterations, like the dynamic geometries generated by Kasner triangles, the bisector triangle, or by cevians defined with points located on the power curve. Finally, we show connections to fixed-point theory, non-expansive mappings, and explainable AI.
报告人简介：
Ovidiu Bagdasar is an Associate Professor in Mathematics at the University of Derby in the United Kingdom, where he is the Turing Scheme Lead for Mathematics, Computing, and Engineering, and associate member of staff at the University of Leicester.
He is a Fellow of the Institute of Mathematics and its Applications (FIMA), Senior Fellow of the Higher Education Academy (SFHEA), and in September 2023 he was one of the recipients of the Transilvania fellowship for Visiting Professors.
Ovidiu's research encompasses fundamental, applied, and educational research in mathematics, and is disseminated through international conferences, journals, and books. Ovidiu also works with ed-tech companies to fulfill the dream of “a world where everyone enjoys maths”, presenting at events in the UK, China, Thailand, India, Romania, or Ethiopia.
