Colloquium: Tuesday, December 21, 2021. Speaker: Liran Shaul (Charles University). Title: “The Cohen-Macaulay property, its applications”.
The next colloquium for this semester will be held ONLINE on 21.12.2021 at 14:00 (Tuesday).
Speaker: Liran Shaul (Charles University)
Date: Tuesday, December 21, 2021
Title: The Cohen-Macaulay property, its applications and generalizations
Abstract: In classical linear algebra, the maximal number of independent linear equations we can impose on R^n is equal to the dimension n.
Generalizing this simple fact to commutative algebra and algebraic geometry leads to the notions of Cohen-Macaulay rings and Cohen-Macaulay varieties.
In this talk we explain this notion, discuss its algebraic and geometric meaning, and demonstrate its various applications in algebra, geometry and combinatorics.
Finally, we discuss a recent generalization of this notion to derived algebra, and some of its applications.