BIMSA >
Seminar on Algebraic, Complex Geometry and Singularities
Spectral genus of isolated singularity
Spectral genus of isolated singularity
Organizer
Speaker
Time
Friday, May 31, 2024 10:30 AM - 11:30 AM
Venue
清华理科楼A-304
Abstract
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.
Speaker Intro
Hu chuangqiang joined Bimsa in the autumn of 2021. The main research fields include: coding theory, function field and number theory, singularity theory. In recent years, he has made a series of academic achievements in the research of quantum codes, algebraic geometric codes, Drinfeld modules, elliptic singular points, Yau Lie algebras and other studies. He has published 13 papers in famous academic journals such as IEEE Trans. on IT., Final Fields and their Applications, Designs, Codes and Cryptography. He has been invited to attend domestic and international academic conferences for many times and made conference reports.