應(yīng)yl7703永利官網(wǎng)李萬同教授和王智誠教授的邀請，復(fù)旦大學(xué)張國華教授將于2024年1月2日-5日訪問蘭州大學(xué)，期間于1月3日舉辦專題學(xué)術(shù)報(bào)告。

報(bào)告題目：Tiling structure of amenable groups and its applications

時(shí) 間：1月3日16:00

地 點(diǎn)：理工樓631

報(bào)告摘要：The concept of amenable groups was introduced by von Neumann in 1929 while studying the Banach-Tarski paradox. However, the structure of amenable groups has been a bit mysterious since then. In their seminal work published in 1987 Donald Ornstein and Benjamin Weiss developed the machinery of quasitilings for it. Along with my colleagues we solved a question about tileability of countable amenable groups using finitely many tiles with good invariance properties. The problem was open for a long time, but it was overshadowed by another, more difficult, problem about tileability using only one tile. In this talk, I will report our finitileability theorem for amenable groups and some of its applications, including the study of symbolic extensions of amenable group actions and new dynamical characterizations of amenable groups.

歡迎廣大師生光臨!

報(bào)告人簡介

張國華，2007年7月博士畢業(yè)于中國科學(xué)技術(shù)大學(xué)數(shù)學(xué)系（現(xiàn)為數(shù)學(xué)科學(xué)學(xué)院），入選全國百篇優(yōu)秀博士論文，2013年起任職復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授。研究方向是拓?fù)鋭恿ο到y(tǒng)，主要研究動力系統(tǒng)的復(fù)雜性理論和可數(shù)離散群作用動力系統(tǒng)的熵理論。在Memoirs Amer. Math. Soc., J. Reine Angew. Math., Adv. Math., Ergod. Th. Dynam. Systems, J. Mod. Dyn., J. Funct. Anal., J. Differential Equations等國際知名刊物上發(fā)表論文30余篇。承擔(dān)了國家自然科學(xué)基金優(yōu)秀青年基金、面上項(xiàng)目等多項(xiàng)科研項(xiàng)目。

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2023年12月27日