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Spectral genus of isolated singularity

组织者

丘成栋

演讲者

胡创强

时间

2024年05月31日 10:30 至 11:30

地点

清华理科楼A-304

摘要

This presentation aims to delve into the groundbreaking work encapsulated in the paper, 'The Spectral Genus of an Isolated Hypersurface Singularity and Its Implications on the Milnor Number Conjecture.' Our focus centers around the innovative concept of the spectral genus, $ilde{p}_g$, introduced as a pivotal characteristic of deformations of germs associated with isolated singularities. By meticulously examining this newly defined invariant, we endeavor to substantiate a compelling conjecture that posits the Milnor number, $mu$, when scaled by the reciprocal of $(n+2)!$, surpasses the value of the spectral genus. Through rigorous analysis and illustrative examples, we will traverse the intricate landscape of these mathematical singularities, shedding light on their profound implications for topology and algebraic geometry.

演讲者介绍

胡创强，2021年秋季入职BIMSA。主要研究领域包括：编码理论，函数域及数论，奇点理论。近年来在量子码，代数几何码，Drinfeld模，椭圆奇点，丘-李代数等课题研究中取得了一系列学术成就。在《IEEE Trans. on IT.》《Finite Fields and Their Applications》《Designs, Codes and Cryptography》等著名学术期刊上发表论文13篇。先后多次应邀出席国内外学术会议并作大会报告。