A study on T-leaves
Grant Data
Project Title
A study on T-leaves
Principal Investigator
Professor Lu, Jianghua
(Principal Investigator (PI))
Duration
48
Start Date
2016-01-01
Amount
631972
Conference Title
A study on T-leaves
Presentation Title
Keywords
cluster algebras, flag varieties, moment maps, Poisson geometry, symplectic groupoids
Discipline
Pure Mathematics
Panel
Physical Sciences (P)
HKU Project Code
17304415
Grant Type
General Research Fund (GRF)
Funding Year
2015
Status
Completed
Objectives
1 To onstruct Poisson and symplectic groupoids of generalized Bruhat cells using generalized double Bruhat cells 2 To formulate the definition and develop a general theory on log-moment maps for T-leaves by first examining various examples related to semisimple Lie groups 3 To explore the relations between symplectic groupoids, log-moment maps, and cluster structures on T-leaves, by first answering some well-formulated questions based on generalized (double) Bruhat cells