Combinatorial limits

The theory of combinatorial limits provides analytic tools to represent and analyze large discrete objects. Such tools have found important applications in various areas of computer science and mathematics. They also led to opening new links between algebra, analysis, combinatorics, ergodic theory, group theory and probability theory. During the course, we will focus in more detail on the more understood case of limits of dense structures and the flag algebra method, which changed the landscape of extremal combinatorics. We will also provide a brief overview of results and open problems concerning sparse structures.

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