【雲端學術 同心戰“疫”】數學學院線上學術講座專場

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顧曉峰👩🏼‍🎨，美國西佐治亞大學數學系副教授。2013年博士畢業於西弗吉尼亞大學👩🏻‍🦽，師從著名圖論學家賴虹建教授🍱。

主要從事組合和圖論及其應用方面的研究，特別是圖的偽隨機性以及圖譜相關的研究🪫，目前在European Journal of Combinatorics、Journal of Graph Theory🕌、SIAM Journal on Discrete Mathematics等期刊上發表論文30余篇，主持西蒙斯基金和美國數學學會基金各1項。

A bar-and-joint framework in the Euclidean plane is a pair (G, p), where G is a graph and p is a map from V(G) to the Euclidean plane. Given a framework (G, p), a natural question is to ask, is it rigid or flexible? This question has both combinatorial and geometric aspects. The rigidity in the Euclidean plane has been well studies and a combinatorial characterization has been obtained by Geiringer in 1927 and rediscovered by Laman in 1970. Several results on graph rigidity from eigenvalue perspectives will be presented in this talk.