The Klein j-Function is not Pfaffian over the Real Exponential Field

Christoph Kesting, McMaster University

James Freitag showed that the Klein j-function is not pfaffian over the complex numbers. In this talk, I will give a brief introduction to pfaffian functions, their current place in model theory and Freitag's result. Then I will discuss recent work expanding Freitag's result to a restriction of the j-function to the imaginary interval (0, i) not being pfaffian over the real exponential field.

MC 5479