Cluster structures on spinor helicity and momentum twistor varieties

Time：Fri., 15:30-16:30, Mar. 28, 2025

Venue：B626, Shuangqing Complex Building A

Organizer：Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan

Speaker：Jianrong Li

Geometric Representation Theory Seminar

Organizers：

Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan

Speaker：

Jianrong Li (University of Vienna)

Time：

Fri., 15:30-16:30, Mar. 28, 2025

Venue：

B626, Shuangqing Complex Building A

Title:

Cluster structures on spinor helicity and momentum twistor varieties

Abstract：

We study cluster structures on spinor helicity and momentum twistor varieties which describe the kinematic spaces of massless scattering. Both varieties are certain partial flag varieties. We exhibit embeddings of the corresponding cluster algebras into cluster algebras of sufficiently large Grassmannians and show how the former is obtained by freezing certain cluster variables from the latter. This is joint work with Lara Bossinger.

Link: https://ymsc.tsinghua.edu.cn/info/1053/3211.htm

DATEMarch 27, 2025

Related News

0
Relative Cluster categories and Higgs categories
Tsinghua-BIMSA symplectic geometry seminarOrganizers：Kenji Fukaya, Honghao Gao, Hang YuanSpeaker：Yilin Wu (USTC)Time：Wed., 14:00-15:00Dec. 4, 2024Venue：C548, Shuangqing Complex Building ATitle: Relative Cluster categories and Higgs categoriesAbstract:Cluster categories were introduced in 2006 by Buan-Marsh-Reineke-Reiten-Todorov in order to categorify acyclic cluster algebras without coeffi...
1
Cluster Nature of Quantum Groups
AbstractWe present a rigid cluster model to realize the quantum group $U_q(g)$ for $g$ of type ADE. That is, we prove that there is a natural Hopf algebra isomorphism from the quantum group to a quotient algebra of the Weyl group invariants of a Fock-Goncharov quantum cluster algebra. By applying the quantum duality of cluster algebras, we show that the quantum group admits a cluster canonical ...