I algebraic geometry


Research mission and objectives



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Research mission and objectives:

Noncommutative Geometry is a modern and highly advanced branch of mathematics extending classical geometry to the realm of functional analysis and noncommutative algebra. It is motivated by the need to reconcile the languages of General Relativity (geometry) and Quantum Mechanics (operator algebras) in order to provide mathematical tools for the much desired fundamental physical theory.

Our main goal is the discovery and classification of new structures on quantum spaces by means of analysing symmetry and computing invariants. This should allow the development of new tools to solve problems beyond the reach of currently available methods.


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