The real achievement of this remarkable DVD release from the BFI is the fact that it brings the name of George Hoellering back to our attention as a director. His 1951 adaption of TS Eliot’s verse play Murder in the Cathedral has been virtually unavailable for years, and is the centrepiece of his career, while the accompanying documentaries here reveal a fascinating and diverse talent.

Here comes the President, and with him a timely reminder about what the Chinese have been digging up over the past 40 years or so to further demonstrate their exceptional imperial history over the past two millennia. Treasures of the Jade Empire rather breathlessly told us of revelatory excavations of the tombs of the Han Emperors, and the regional kings they nominated to act as surrogate rulers over their gigantic empire – its boundaries closely related to China today.

Unlike Venice, where colour reigned supreme among artists such as Titian and Veronese, Florence was the city where drawing – disegno – was held up as the cornerstone of the artist’s education. Think of the well-defined musculature of Michelangelo’s figures. Florentine artists of the Renaissance practiced an art of detailed precision, mastering clarity of line and structural rigour.

This programme was a puzzle. It didn't quite work, and it should have worked an absolute treat, as Buddhism is in some respects the religion, or rather the way of life, that has more and more caught the attention of the West in terms of scholarship and practitioners. It was an hour-long visual history, tracing in a trip through the subcontinent the life of the Buddha, presented by the charming and knowledgeable historian Bettany Hughes.

For all the wrong reasons, the work of Dexter Dalwood serves as a useful metaphor for this exhibition. Trite, tokenistic and desperate to look clever, Dalwood’s paintings are as tiresomely inward-looking as the show itself, which is a dismal example of curatorial self-indulgence at the expense of public engagement.

It’s far too easy to think about the history of art as a series of class acts, with one superlative achievement following another. Exhibitions tend to encourage this view, and the notion of a superstar artist is key to persuading us that the latest blockbuster is unmissable.

We think we know it when we see it. But how, pray, do we define beauty? The ancient Greeks thought they had the measure of it. In the 4^th century BC, the “chief forms of beauty,” according to Aristotle, were “order, symmetry and clear delineation.” A century earlier, during the golden age of Athens, Polykleitos, one of the ancient world’s greatest sculptors, set out the precise ratios for the ideal male form in a treatise he called The Canon.

Here is an exhibition that tells us how something we now take totally for granted actually came about: how our love affair with the Impressionists was masterminded by an art dealer, Paul Durand-Ruel (1831-1922). He was a prime mover in inventing the way art is dealt with by commercial galleries and even museums, and is credited as the inventor of the modern art market.

What does it mean to be a great artist? Is it enough for your work to be admired, studied, emulated and quoted by contemporaries and subsequent generations, or is the value of art judged by a more complex set of criteria? By considering the extent of Rubens’ influence on artists from Rembrandt to Klimt, the Royal Academy is having a go at skinning a very old and troublesome cat: the elevation of Rubens from gifted confectioner to worthy Old Master.

From an apparently simple idea stems a very confusing exhibition. Here’s the idea: taking the seminal black square painted by Russian artist Kazimir Malevich as its starting point – in fact, a rectangle, with the small and undated Black Quadrilateral the first of three Malevich paintings – we are invited, over the span of a century and across a number of continents, to explore the evolution of geometric abstraction and its relation to “ideas of utopia”.