This was a wonderful meeting, bringing together researchers from the theory of operator algebras, representation theory, commutative algebra, and algebraic geometry. Thanks to the many wonderful talks and the one-on-one conversations, I got to learn about developments that, at first glance, seemed far from my area of speciality, but in fact turned out to be quite related. I am looking forward to continuing collaborating with at least some of the researchers I met at the workshop.

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The most important feature of this meeting was the strong interdisciplinary profile. The organizers managed to bring together experts from different areas, and foster a true exchange. This is real progress and hope in an area threatened by sclerosis. From my narrow perspective, this may be the basis of new, future collaborations.

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The workshop was very interesting and useful, I learned a lot on nearby fields, their results and approaches to attack the problems. It was nice as well to meet old friends and to get acquainted with new ones.

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The meeting last week was a rare and wonderful gathering of people from several mathematical disciplines. Different aspects of multivariable spectral theory and representation theory were presented, and that enables us to gain an overview of the subject matter. Some new connections of the theory were also proposed at some of the talks, such as connections with complex geometry, complex dynamics, cluster algebra, commutative algebras. We will study these connections in more details in the years to come. In addition, there were also very interesting talks on more classical topics such as moments problem, positivity preserver, operator model theory, analytic function spaces, etc. We all very much appreciate the support of Banff International Research Station to our endeavor in this research. Thank you!

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