Algebraic geometry II - schemes and sheaves

In lecture 11, we covered the following topics:

-the fiber product is not a set theoretic product, and example with affine spaces;

-notion of scheme theoretic fiber and sketch of the fact it is homeomorphic to the set theoretic fiber;

-notions of closed, generic, and geometric generic fibers with example;

-notion of general fiber over an algebraically closed field;

-example of empty fiber/empty fiber product;

-more examples of generic fiber VS geometric generic fiber;

-definition of affine and projective spaces over an arbitrary scheme.