Speaker
Maxim Kontsevich
Description
Ivan Todorov was deeply interested in the axiomatic approach to Quantum Field Theory, and in particular to Conformal Field Theory. In my talk I will try to push this to maximal generality, discarding even rotational invariance and positivity (and generalizing the approach with complex metrics developed by G. Segal and myself). Conjecturally, in each dimension there exists a canonical — though not yet fully characterized — moduli space of theories in real affine space, covariant only under translations and scaling. One can place such a theory on a general manifold using a universal OPE formalism.