The book contains a collection of the lectures and talks presented in the Tohoku Forum for Creativity, based on the program of the thematic year in the period of 2014-2016.The main subjects are Noncommutative Geometry and String Theory, including Quantum Field Theory, Poisson Geometry and Deformation Quantization. This book gives an overview of the recent developments in these subjects and thus, to simulate the exchange at new ideas between mathematicians and physicists.