In my talk I will give details of a new (hypergeometric) construction of rational approximations to $\zeta(2)=\pi^2/6$ that leads to the new upper bound 5.095412 for the irrationality exponent of the number.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246