The Institute of Mathematics of the Eötvös University is organizing a one week long summer school in mathematics entitled "Introduction to graph limits". A peculiar feature of the most interesting structures and phenomena of the world can be described by networks: a system of individuals with connections between certain pairs of them. These huge networks raise fairly novel, unconventional problems for the mathematician as, in contrast to traditional graph theoretical problems, very large networks (like the Internet) are never completely known, in most cases they are not even well defined. Besides the algorithmic treatment of very large networks, the notions of large graphs and their limits can also be applied successfully for problems from extremal graph theory or from statistical physics. The aim of the summer school is to give an introduction into the theory of large graphs through four minicourses and three talks, given by experienced senior and young researchers. The school is followed by the conference "Building Bridges II", celebrating the 70th birthday of László Lovász. The summer school is aimed at undergraduate and graduate students in Mathematics, Computer Science, Sciences, or in any related program. The mini courses we offer highlight areas of mathematics in which the Institute of Mathematics has a traditionally strong record. The goal of the courses is to introduce students to current directions in research that are accessible at undergraduate and graduate level. Invited talks: - Miklós Abért - László M. Lovász - Balázs Szegedy Lecturers and lecture titles: - Ágnes Backhausz: Limits of random graphs - Péter Csikvári: Statistical physics and graph limits - Péter Frenkel: Homomorphism numbers and graph convergence - Dávid Kunszenti-Kovács: From combinatorics to analysis Time and place: The school will be held between June 25th and June 29th, 2018, at the Institute of Mathematics of Eötvös Loránd University, Budapest (Hungary). Deadline for applications is June 15th 2018. Information for how to apply can be found at http://www.math.elte.hu/summerschool/.

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