PREDNASAJUCI / LECTURER : Metod Saniga (1) Astronomical Institute, Slovak Academy of Sciences, 059 60 Tatranská Lomnica NAZOV / TITLE : Smallest Split Cayley Hexagon and Quantum Contextuality ABSTRAKT / ABSTRACT : In this talk, we will introduce an important finite-geometry called the split Cayley hexagon of order two, describe its two unequivalent embeddings into the three-qubit symplectic polar space and show how these embeddings are related with quantum contextuality in this space.