Università Cattolica del Sacro Cuore

Topics in symplectic and multisymplectic geometry

 10 gennaio 2017 Topics in symplectic and multisymplectic geometry

Ph.D. Course
Gennaio-Aprile 2017 Aula 7, ore 14.30 - 16.30
Via dei Musei 41 - Brescia

Prof. MAURO SPERA
Università Cattolica del Sacro Cuore

The course is intended as an introduction to the methods of symplectic and multisymplectic geometry, with a view to their multifaceted physical applications.
Here is a cursory and tentative list of the planned topics: Symplectic manifolds, moment maps and reduction, geometric fluid mechanics, covariant phase space, multisymplectic manifolds, conserved quantities, geometric quantization of line bundles and gerbes.

Basic acquaintance with differential geometry is required; however, specific technical tools will be developed when needed.
Handwritten lecture notes will be gradually made available online.

January 2017: Tue. 10, Wed. 11, Tue. 17, Wed. 18, Wed. 25, Tue. 31
February 2017: Wed. 1, Tue. 7, Tue. 14, Tue. 21, Wed. 22, Tue. 28
March 2017: Wed. 1, Tue. 7, Wed. 8, Tue. 14, Wed. 15, Tue. 21, Wed. 22
April 2017: Tue. 4, Wed. 5, Tue. 11, Wed. 12, Wed. 26

La locandina (pdf)