============================================================ Seminário de Teoria da Computaçăo e Combinatória (TCC) Tarde de Combinatória Extrema e Métodos Probabilísticos ============================================================ Título: Extremal problems for random discrete structures Palestrante: Mathias Schacht Universität Hamburg Hora e Data: 14h00, sexta-feira, 13 de novembro de 2009 Local: Auditório do NUMEC Resumo: We study thresholds for extremal properties of random discrete structures. We determine the threshold for Szemerédi's theorem on arithmetic progressions in random subsets of the integers and its multidimensional extensions and we determine the threshold for Turán-type problems for random graphs and hypergraphs. In particular, we verify a conjecture of Kohayakawa, Luczak, and Rödl for Turán-type problems in random graphs. Similar results were obtained by Conlon and Gowers