|Support type:||Scholarships in Brazil - Post-Doctorate|
|Effective date (Start):||August 01, 2010|
|Effective date (End):||January 31, 2013|
|Field of knowledge:||Physical Sciences and Mathematics - Mathematics - Geometry and Topology|
|Principal researcher:||Mauro Spreafico|
|Grantee:||Fabio Ferrari Ruffino|
|Home Institution:||Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil|
We study the geometry of "non-integral" bundles and gerbes with connection. Such objects naturally arise as trivializations of flat gerbes in the abelian case, and we try to investigate, at least for vector bundles, the non-abelian generalization. We then discuss the relations between differential cohomology classes and non-integral gerbes, and the relations between non-integral bundles and twisted bundles.