数学科学研究所
Insitute of Mathematical Science

Seminar:Nonexistence of exceptional bundles on P^3 with maximal possible ranks

Time: Tuesday, Apirl 30th, 2024 , 15:00-16:00

LocationR101, Teaching Center 

Speaker: Yeqin Liu (UIC)
AbstractVector bundles E with Hom*(E, E)=C are called exceptional, and they play an important role in the study of derived categories and stable sheaves. Unlike P^1 and P^2, classifying exceptional bundles on P^3 is a challenging problem. In this talk we introduce new techniques to approach this problem, by studying stable spherical bundles on quartic surfaces. We show the first nonexistence results: there is no exceptional bundle on P^3 with degree d and maximal possible rank 2d^2+1 when |d|>3. We will also discuss many future developments on this program.


地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)