CORDIS Project
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This project seeks to explore counterexamples to the Baum-Connes conjecture, a significant concept in mathematics linking analytic and topological properties of manifolds. It focuses on enhancing cohomological rigidity properties and aims to identify new groups and actions that challenge existing theories.
The Atiyah-Singer index theorem was one of the most spectacular achievements of mathematics in the XXth century, connecting the analytic and topological properties of manifolds.
The Baum-Connes conjecture is a hugely successful approach to generalizing the index theorem to a much broader setting.
It has remarkable applications in topology and analysis.
For instance, it implies the Novikov conjecture on the homotopy invariance of higher signatures of a closed manifold and the Kaplansky-Kadison co…
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
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