The article offers an overview of the studies dedicated to Plato's legacy in Russian culture and humanities. The well-known concept of Platonico-Byzantine roots of Russian intellectual and spiritual culture is analyzed. Attention is paid to the 'discovery of Plato' in Russia in the xviii-xix centuries, and the history of translations of Platonic corpus into Russian. The authors also review the vicissitudes of studies of Plato's legacy and assessments of Plato's philosophy in the Soviet period. But primarily, the article focuses on the current state of the 'Platonic question'. The main approaches and trends which started emerging in the 1980s, as well as new ones, especially characteristic of the 2010s, are analyzed. The article describes the history of institutionalization of these studies in Russia in academic, educational, publishing, and social contexts. It is shown how the traditional analysis of Plato's teaching (the so-called 'development approach') is evaluated and used in Russian humanities, and what role the Tübingen assessment of Plato's 'unwritten philosophy' has played. The authors mention the growing influence of the 'analytical approach' to Platonic texts and outline the specifics of the 'analytical history of philosophy' in Russia. Special attention is paid to the formation in Russian humanities of the 'institutional approach' and to the expanding influence of the 'dramatic' reading of Plato's texts - not only in the context of metaphysics but also in connection with the philosophy of politics, the philosophy of mathematics.