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However, we will work principally over C and can talk about further subjects from the analytic theory of theta functions and Siegel modular forms. We will study manifolds with positive scalar curvature and related topics with an emphasis on minimal floor approach. This is at present a very active space of research attracting a broad range of mathematicians and physicists. K.Kaveh, A.Khovanskii. Newton–Okounkov our bodies, semigroups of integral points, graded algebras and intersection concept, Annals of Mathematics, V. 176, No 2, 925–978, 2012. In the final twenty years there's a rising interest within the connection between these two fields analogous to the one found in the 1970's by Furstenberg for the Szemeredi theorem however now with the roles reversed. The course will start with the basic Model theory of Fraisse constructions and their limits after which proceed with study of Logic actions of those limits.