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Explore a seminar talk where Andrew Snowden from the University of Michigan introduces the concept of measures on combinatorial structures like graphs and total orders. Learn about this innovative mathematical approach developed with Nate Harman that assigns numerical values to finite combinatorial structures following specific axioms. Understand how these measures enable the construction of interesting new tensor categories, despite the combinatorial challenges involved in fully comprehending them. Discover the current state of knowledge in this field and the significant open problems that remain to be solved. This Special Year Seminar II presentation from the Institute for Advanced Study delves into advanced mathematical concepts at the intersection of combinatorics and category theory.
