| Grant number: | 15/02029-1 |
| Support Opportunities: | Regular Research Grants |
| Start date: | July 01, 2015 |
| End date: | July 31, 2017 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Pedro Paulo de Magalhaes Rios |
| Grantee: | Pedro Paulo de Magalhaes Rios |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
Research Project divided in four parts. The first part investigates some problems in microlocal analysis using Colombeau's theory of generalized functions. The second part aims at developing a complete treatment of symbol correspondences and their symbol products, in the context of the group $SU(1,1)$ and its coadjoint orbits, in particular the hyperbolic plane. Other groups (of compact type) may also be explored. The third part aims at developing a better definition for a mathematical object which has been ``defined'' over a decade ago as the ``blurred'' complex metaplectic group. The fourth part continues some investigations related to singularities of Wigner caustics. (AU)
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