### Stijn Cambie, Recent progress on the Union-closed conjecture and related

Room B332 IBS (기초과학연구원)We give a summary on the work of the last months related to Frankl's Union-Closed conjecture and its offsprings. The initial conjecture is stated as a theorem in extremal set theory; when a family F is union-closed (the union of sets of F is itself a set of $\mathcal F$), then $\mathcal F$ contains an …