Interesting and unusual things to do for a fiver or less this week.
CHELSEA FRINGE: Horticultural happenings across with capital continue this week with Chelsea Fringe festival. There are dozens of events daily to choose from, most of which are free, so take a look and see what tickles your tillage. Until 9 June.
Monday 20 May
PROGRESSIVE CAPITALISM: London School of Economics eases us into the week with a lecture on progressive capitalism, hosted by Lord Sainsbury. Free, just turn up, 6.30pm
Tuesday 21 May
DAFT PUNK: Oval Space are celebrating Daft Punk's new album launch by opening their venue doors for all to listen to the music, have some food, and maybe indulge in a little dancing too. Free, prebook, 6pm
SHORT FILM: Bar Shorts is a free short film and animation screening that showcases some of the best shorts from award-winning directors. Free, prebook, 7pm
Wednesday 22 May
LONDON ARCHAEOLOGY: This 45 minute talk, delivered by a partner from L-P Archaeology, focuses on archaeology in London and how it plays an important role in the formation of new developments. Free, just turn up, 6.30pm
BOGOF COMEDY: Get two for the price of one with Invisible Dot’s Two Previews for Five Pounds. Tonight you can enjoy Claudia O'Doherty and James Acaster on the stage. £5, prebook, 7.45pm
GIG: Blake Robson, front man of folk, rock'n'blues band Black River Wild, performs at The Narrow Pub and Restaurant. Free, just turn up, 8pm
Thursday 23 May
LIVE COOKING: To support the Love Your Local Market 2013 campaign, Borough Market holds a live demonstration kitchen today with resident chef, Hayley Edwards, showing shoppers how to create dishes with seasonal produce. Various traders will also be giving advice on the best ways to use their produce. Free, just turn up, 12-2pm
PICASSO: The Courthauld Gallery's incredibly popular Picasso exhibition runs its final late event tonight, so you can explore this world-famous gallery after hours. Tickets cost £6/£5 but if you dress as a 1901 Parisian you get in for free! Just turn up but get there early, from 6pm
COMEDY: Tall Tales at the Good Ship in Kilburn has launched several Radio 4 series (like: Warhorses of Letters, Before They Were Famous). See what John Finnemore, Ian Leslie, Gareth Edwards, Helen Arney, Viv Groksop, Toby Davies, Susannah Pearse and host Robert Hudson are working on now - plus the further adventures of Copenhagen and Marengo. £5, prebook, 8pm
FREE FILM: Mamma Mia screens at a pop-up cinema in Vauxhall Pleasure Gardens tonight. Head along to nab a deckchair and enjoy the free film. Free, just turn up, from 6pm but film starts at 8.30pm
Friday 24 May
JAZZ: The Royal Albert Hall’s free ignite jazz series continues today with the Peter Michaels Trio, who explore the elements which unite music from across the world. Free, just turn up, 12pm
Saturday 25 May
THE SUPREME COURT: Take a free nosey inside The Supreme Court today to begin Guildhall's centenary celebrations. The courtrooms, library, exhibition area will all be open to visitors, as well as a wide range of portraits from the Middlesex Guildhall Art Collection being on show. Free, just turn up, 10am-4.30pm
48 HOUR FILM FINALE: A couple of weeks ago we told you about Herne Hill Free Film Festival's 48 hour film competition, where you had 48 hours to make your own short film. The results will be screened and the winners announced tonight. Free, just turn up, 8pm
Sunday 26 May
WALK LONDON: A fantastic series of free, guided walks are being put on this weekend by Walk London's Spring into Summer campaign. Ramble your day away on a long jaunt or join them for a short stroll. The lengths, routes and topics all vary so there is something to suit everyone. Free, just turn up, 25 and 26 May.
Check out our map of free things to do in London for more frugal fun.