講座主題：Constructing stable Hilbert bundles with irrational slopes
專(zhuān)家姓名：馬飆
工作單位：北京大學(xué)北京國(guó)際數(shù)學(xué)研究中心
講座時(shí)間：2025年06月30日 15:00-16:00
講座地點(diǎn)：數(shù)學(xué)院大會(huì)議室341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
On any complex smooth projective curve with positive genus, we construct Hilbert bundles that admit Hermitian-Einstein metrics with irrational slopes. A main constructive step is by investigating the arithmetic property of the upper half plane in Bridgeland's definition of stability conditions. The main analytic ingredient in our proof is a notion called a well-approximation stable bundle. This notion helps us to apply the Diophantine approximation to Donaldson's functional and bound the L∞ norm of Hermitian-Einstein metrics. We further study smooth and holomorphic structures on such Hilbert bundles, and their connections to noncommutative geometry. This talk is based on a work joint with Yucheng Liu.
主講人介紹：
馬飆，現(xiàn)為北京國(guó)際數(shù)學(xué)研究中心博士后。研究方向?yàn)閹缀畏治觥?/p>
