ICTP Mathematics Courses

Symbolic Powers of Ideals - Part 2

Explore advanced concepts in tight closure theory, focusing on symbolic powers of ideals and their applications in algebraic geometry and commutative algebra.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Symbolic Powers of Ideals - Part 3

Explore advanced concepts in tight closure theory, focusing on symbolic powers of ideals and their applications in algebraic geometry and commutative algebra.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Introduction to Hilbert-Kunz Multiplicity - Part 1

Explore the fundamental concepts and applications of Hilbert-Kunz Multiplicity in this graduate-level mathematics lecture, focusing on tight closure of ideals.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

The Localization Problem - Part 1

Explore the intricacies of the localization problem in mathematics, delving into its theoretical foundations and practical implications for advanced algebraic studies.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Briancon-Skoda Theorems - Part 2

Explore advanced concepts in tight closure theory, focusing on Briancon-Skoda theorems and their applications in algebraic geometry and commutative algebra.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Symbolic Powers of Ideals - Part 1

Explore the mathematical concept of symbolic powers of ideals, delving into advanced algebraic theory and its applications in graduate-level mathematics.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Briancon-Skoda Theorems

Explore advanced mathematical concepts in tight closure theory, focusing on Briancon-Skoda theorems and their applications in algebraic geometry and commutative algebra.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Uniform Artin-Rees Results - Part 2

Explore advanced concepts in tight closure theory, focusing on uniform Artin-Rees results and their applications in algebraic geometry and commutative algebra.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Cohen-Macaulayness of the Absolute Integral Closure in Characteristic P Major of 0

Explore Cohen-Macaulayness of absolute integral closure in characteristic p>0, delving into advanced algebraic geometry concepts and their applications in tight closure theory.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Briancon-Skoda Theorems - Part 1

Explore the Briancon-Skoda Theorems in this graduate-level mathematics lecture, delving into tight closure of ideals and their applications in algebraic geometry.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Introduction to Hilbert-Kunz Multiplicity - Part 2

Explore advanced concepts in algebraic geometry, focusing on Hilbert-Kunz multiplicity theory and its applications in tight closure of ideals.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

F-rational Rings and Rational Singularities - Part 2

Explore F-rational rings and rational singularities in depth, building on previous concepts and advancing understanding of tight closure theory in algebraic geometry.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

F-rational Rings and Rational Singularities - Part 3

Explore F-rational rings and rational singularities in this advanced mathematics lecture, delving into tight closure theory and its applications in algebraic geometry.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

F-Rational Rings and Rational Singularities - Part 1

Explore F-rational rings and rational singularities in this advanced mathematics lecture, delving into tight closure theory and its applications in algebraic geometry.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

An Overview of Tight Closure of Ideals - Part 1

Explore the fundamental concepts and applications of tight closure theory in commutative algebra, focusing on ideals and their properties in ring theory.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video