Scaling limits of critical planar lattice models are conjectured to
be described by Conformal Field Theory (CFT). The most classical example is
the Ising model, which is expected to be described by a minimal model of CFT.
We will discuss some progress in this direction: the proof of the conjectured
formulae for the correlation functions using discrete complex analytic spinors
and ways to make sense of the very objects and methods of CFT. Based on joined
works with (mostly) Stéphane Benoist, Dmitry Chelkak, Konstantin Izyurov,
Kalle Kytölä and Stanislav Smirnov.
Giovanni Jona-Lasinio Università di Roma "La Sapienza"