標(biāo)題：Dynamical Cuntz semigroups and regularity of C*-dynamical systems
報(bào)告時(shí)間：2024年11月15日（星期五）10：00-11：00
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議（會(huì)議ID：917-834-040，會(huì)議密碼：241115）
主講人：吳健超
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
Regularity properties of C*-algebras, e.g., Z-stability and strict comparison, have played crucial roles in the Elliott classification program. The equivalences (or at least close relations) between regularity properties of very different natures were predicted by the Toms-Winter conjecture and have been a central topic in the structure theory of simple nuclear C*-algebras in the last 15 years. I will discuss ways to transport these ideas to the setting of C*-dynamical systems. More precisely, I will talk about dynamical Cuntz semigroups, dynamical strict comparison, and the notion of almost elementary C*-dynamical systems, which generalizes Kerr's almost finiteness for topological dynamical systems and can be viewed as a dynamical analogue of Z-stability. This is joint work with Bosa, Perera, and Zacharias.
主講人簡(jiǎn)介：
吳健超，復(fù)旦大學(xué)上海數(shù)學(xué)中心青年研究員，研究領(lǐng)域?yàn)榉墙粨Q幾何和算子代數(shù)，入選國(guó)家級(jí)青年人才計(jì)劃，主持科技部國(guó)家重點(diǎn)研發(fā)青年項(xiàng)目，在Geom. Funct. Anal., Adv. Math., Comm. Math. Phys., Trans. Amer. Math. Soc.等知名數(shù)學(xué)期刊發(fā)表多篇論文。
