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Spherical Convex Analysis

發(fā)布者:文明辦發(fā)布時(shí)間:2022-12-22瀏覽次數(shù):775


主講人:國(guó) 起 蘇州科技大學(xué)教授


時(shí)間:2022年12月24日14:00


地點(diǎn):騰訊會(huì)議 850 6441 4458


舉辦單位:數(shù)理學(xué)院


主講人介紹:國(guó)起,先后獲哈爾濱工業(yè)大學(xué)博士學(xué)位和瑞典 Uppsala 大學(xué)博士學(xué)位;現(xiàn)任教于蘇州科技大學(xué)數(shù)學(xué)科學(xué)學(xué)院,二級(jí)教授;江蘇省“十三五重點(diǎn)建設(shè)學(xué)科項(xiàng)目”學(xué)科帶頭人。長(zhǎng)期從事局部凸(Banach)空間幾何理論、凸分析與凸幾何分析等領(lǐng)域的教學(xué)與研究工作,現(xiàn)研究興趣是球面空間凸性理論。 主持完成國(guó)家基金面上項(xiàng)目2項(xiàng),在研1項(xiàng),參與完成國(guó)家基金面上項(xiàng)目2項(xiàng),主持完成江蘇省“聘外專(zhuān)項(xiàng)重點(diǎn)項(xiàng)目”2項(xiàng)。發(fā)表論文80余篇。


內(nèi)容介紹:This talk is a brief introduction to the spherical convex analysis, mainly collecting the attempts on establishing systematic convex analysis on spherical spaces. The main contents include the basic properties of spherically convex sets and functions, such as the combinatoric and structural properties of spherically convex sets; the Lipschitz continuity of spherically convex functions and the criterions of convexity of functions on spheres; the differentiability of functions on spheres etc. Some topics in spherical convex geometry will also be mentioned.