An award for artists whose work engages with "social reality, lived experience and the human condition" has been won by a Mexican forensic technician whose works deals intimately with her country’s brutal drug wars. Britain’s most valuable art award to a single artist, the Cardiff-based Artes Mundi Prize, saw nominees this year from Cuba, England, India, Lithuania, Slovenia and Sweden. But the winning works by Mexico’s Teresa Margolles were the ones that responded most directly and dramatically to the competition’s challenging premise.

There are two films in the Turner Prize exhibition and taken together and watched end-to-end they last just under three hours. That sounds gruelling for an art exhibition, but they’re from the strongest two candidates on this year’s shortlist. And since neither is one of those poorly filmed and edited pieces that are best viewed as moving wallpaper as you drift in and out of the gallery, both are worth devoting time to.

On the evidence of this Serpentine exhibition of huge sculptures, small sculptures, photographs, drawings, watercolours and prints, the German artist Thomas Schütte is obsessed, but obsessed, with faces. It is billed as the first show to focus entirely on his portraiture, of himself, his friends, and from the imagination. And the focus helps the visitor to grasp how playfully serious – or seriously playful – the artist is.  

Lindsay Seers is one of the most exciting artists to have emerged in Britain over the last 10 years. Preoccupied with big philosophical questions, her work explores notions of truth, memory, imagination and history. Nowhere Less Now, commissioned by Artangel, is her first new work in London since Extramission was shown at Tate Britain in 2009. It is no ordinary work.

Giving his press conference speech at the opening of Kiev’s first international art biennale, David Elliott, the seasoned British curator charged with its organisation, looked exhausted, though far from triumphant and more than a little irate. “It’s not the way I usually handle things,” he said. He had opened his speech with an apology – some of the exhibits were still not ready. Meanwhile, the attendant press, who had come from as far as Tokyo, New York and London, were perhaps also a little disgruntled.

There was something perverse about the opening of Liza Lou’s show at White Cube in Hoxton Square on a wet Thursday evening. It was as quiet as I’ve ever known it inside, while outside, barred from drinking among Lou’s fragile works, a throng of people guzzled free beer on the other side of the street in the rain.

I come not to praise Jamie but to Shovl'im… Jamie Shovlin's new show of covers for unpublished books in the Fontana Modern Masters series would seem to have everything for the viewer who prides himself on his good taste: serialism, mathematics, intellectuals, paint applied by the artist himself. The shame is that it's all a hoax, and not in the manner of Shovlin's earlier projects concerned with fictional people: the maths is cod, the belief absent - even the pauses for thought are artificial.

As Damien Hirst’s Tate retrospective looms large on the horizon, the million-dollar question is whether the work has withstood the test of time. Will exciting and provocative sculptures like the pickled shark, which became an icon of Brit Art the minute it swam into view at the Saatchi Gallery in 1992, still send shivers down the spine, or has it become too familiar to arouse anything more than a yawn of recognition?

The first major retrospective of the videos, photographs and sculptures of Gillian Wearing is a deeply disturbing experience. Her videos can be just a few minutes, or as long as an hour, but are not sequential narratives. They can be dipped in and out of - unlike many video artists you do not have to acquiesce to her time scale. But take a lot of time: they are more than worth it, and repay repeated viewings.

Group shows can be strained: the rubric can be so narrow that it has to be stretched to accommodate the artists at hand. That is one reason why Haunch of Venison's new show, Mixed Media, is so pleasing: it features contemporary sculpture with an emphasis on the varied materials in use today, a capacious but not unlimited mission. The other reason is that the work is just damned good.