Title: Category theory and its applications.
Time：April 17-26,2024
Location：The Fifth Seminar Room, the third floor of the Math Building
Speaker：Andrey Lazarev
Abstract: Category theory is a study of global aspects of mathematics and as such, it is relevant to all its subfields, especially algebra and geometry. From another point of view, category theory is a unifying language in which different, seemingly unrelated mathematical results and problems can be formulated and explained.
In this minicourse, fundamental concepts of categories, functors and natural transformations will be developed from scratch. Various examples will be given; in order to understand them it is useful to be familiar with such notions as groups, rings, vector spaces, topological spaces, homomorphisms and homeomorphisms. The category of topological spaces will be given as a primary example.
Lecture Information
報告人簡介：Andrey Lazarev is a professor of pure mathematics in the University of Lancaster. His recent research deals with homotopy theory of differential graded algebras and categories, derived categories and higher phenomena. It has applications in rational homotopy theory, theory of operads and operadic algebras, algebraic topology and pure algebra. Andrey Lazarev is the Managing Editor of the journal《Bulletin of the London Mathematical Society》, as well as a Member of the Editorial Board of the journal《Higher_Structures》.
