Проф. Александър Стоименов (Dongguk University, WISE Campus, Republic of Korea) ще изнесе следните две лекции във ФМИ:
- Introduction to Knots
Кога: 4 април, петък, 13:00 часа
Къде: ауд. 500, ФМИ - Introduction to 4-dimensional genera
Кога: 7 април, понеделник, 18:00 часа
Къде: ауд. 325, ФМИ
Резюмета на лекциите:
Introduction to Knots
This is the first of two lectures, an introduction to knots. The level of the lectures is suitable for students. In the first lecture I will explain very simply what knots are (from the mathematicians' point of view), diagrams, Reidemeister moves, what invariants are, what they are used for, compiling the knot tables, and I plan to end by showing Chuck Livingston's KnotInfo site, and his notes on my contributions to the computation of (smooth) 4-dimensional genera.
Introduction to 4-dimensional genera
This is a continuation of the first lecture, in which I explain the methods for computing 4-dimensional genera based on signatures and Donaldson's theorem, which leads to a criterion for the integer factorization of Goeritz matrices. Here I will talk about how to efficiently implement the search for such factorizations.