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The mathematics of C*-algebras has proven to be particularly suitable to making precise the ideas arising in quantum theory. Indeed, their very beginnings can be traced back to the papers of Murray and von Neumann on the foundations of quantum mechanics. C*-algebras are an indispensable tool in noncommutative geometry, and, in turn, in applications to mathematical physics, including the standard model and quantum gravity.
The scientific focus of the workshop is on Cuntz–Pimsner algebras, a class of C*-algebras that combine a tractable structure with ample applicability. Their class is broad enough to encompass C*-algebras witnessing many of the most interesting and impressive aspects of C*-algebra theory and provide connections to gauge theory and quantum mechanics via Connes' noncommutative geometry.
The field of Cuntz–Pimsner algebras intersects a broad range of mathematical and physical research areas. The Cuntz–Pimsner Cross-Pollination workshop aims to further develop the general theory of Cuntz–Pimsner algebras by uniting this diversity of perspectives and facilitating a trans-generational transfer of knowledge.
By bringing together mathematician that represent several different approaches to Cuntz–Pimsner algebras, as well as a 50-50 mix of senior and early career researchers and of male and female mathematicians, the workshop Cuntz–Pimsner Cross-Pollination aims at
· extending what is known for specific examples and subclasses into a unified body of knowledge
of Cuntz–Pimsner algebras and their higher rank generalisations;
· finding new applications of Cuntz–Pimsner algebras;
· strengthening the ties between the different communities of researchers working on Cuntz–Pimsner algebras;
· highlighting the contributions of women researchers to the field of C*-algebras. Although this
field has historically suffered from a severe gender imbalance, many women have contributed to fundamental breakthroughs in Cuntz–Pimsner algebras.