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Central extensions using holonomy preserving di?eomorphisms in in?nite dimensions
时间  Datetime
2017-11-16 16:00 — 17:00 
地点  Venue
Large Conference Room
报告人  Speaker
Tobias Diez
单位  Affiliation
Max Planck Institute, Leipzig, Germany
邀请人  Host
Tudor Stefan Ratiu
报告摘要  Abstract

I'll present a geometric approach to construct central  
extensions of the group of Hamiltonian symplectomorphisms and of the  
group of exact volume-preserving diffeomorphisms. The idea is to  
consider an infinite-dimensional symplectic manifold where those  
groups act and construct a prequantum bundle over it. The central  
extensions are then obtained as the pull-back of Kostant's prequantum  
central extension. We will use Cheeger-Simons differential characters  
as a tool to construct prequantum bundles over function spaces via a  
modified transgression map.