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The objective of the Workshop is to bring together active researchers in algebraic and enumerative combinatorics, as well as other areas of the mathematical sciences in which substantial enumerative questions with a strong algebraic or analytic foundation have arisen. The connections that have been made between algebraic combinatorics and other areas in the last few years have contributed to rich and significant lines of research. Such research requires a familiarity with several research disciplines, and the Workshop will strive to facilitate this contact between algebraic and enumerative combinatorics and other fields in an effective way. As part of this we have included on the list of invited participants a number of researchers from other areas such as algebraic geometry and mathematical physics.
We have selected three interrelated topics as the focus of the Workshop, namely,
Each of these is a substantial topic in which considerable progress has been made over the last few years. We hope that the Workshop will open up new areas of interest both for combinatorialists and for researchers from other areas.
There will be long enough periods of unscheduled time to allow for informal interaction between participants, and there will be a hike on Wednesday afternoon for anyone who is interested.
Final Report (in PDF format)