数学科学研究所
Insitute of Mathematical Science

Colloquium: Kahler weighted right-angled Artin group

Seminar| Institute of Mathematical Sciences

Time: Wednesday, December 17th, 2025,16:00-17:00

LocationRS408, IMS

Speaker: Yongqiang Liu (刘永强), University of Science and Technology of China 

  

Abstract: It is a question of Serre to characterize finitely presented groups that can serve as the fundamental group of a compact Kahler manifold, called the Kahler groups. Dimca, Papadima and Suciu classified the Kahler groups in the class of right-angled Artin groups in 2009. We classify the Kahler groups contained in the class of weighted right-angled Artin groups. This class of groups comes from the edge-weighted finite simple graphs and is a natural generalization of the right-angled Artin groups. The proof uses tropical geometry and BNS invariants. This talk is based on a joint work with Yuan Liu.

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