In pure mathematics, we usually want to study the properties and the structure of an
\nalgebraic, geometric or topological object. In order to study the relation between the object
\nand other similar objects or study some of its invariants we pass from the level of the abelian
\ncategories to the level of the triangulated categories. In 2004 Paul Balmer inspired the attachment
\nof a topological space, the so called Balmer\u2019s spectrum, to an abstract tensor triangulated
\ncategory K. Tensor triangular geometry is the study of the Balmer\u2019s spectrum. The talk is
\ndivided in three parts. First of all we will give two basic examples of tensor triangulated categories
\ncoming from the Representation Theory and the Commutative Algebra. Secondly we will
\npresent the basic points of Balmer\u2019s theory and finally we will apply the results of the theory
\ninto the distinguished examples of the first part.<\/p>\n","protected":false},"excerpt":{"rendered":"