ICTP Mathematics Courses

Slope Detection in 3-Manifolds

Explore key concepts in 3-manifold topology, including slope detection, Lagrangian theory, and foliations. Learn about conjectures, theorems, and algorithms in this advanced mathematical field.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Brownian Motion, Evolving Geometries and Entropy Formulas - A. Thalmaier

Explore Brownian motion, stochastic processes, and related mathematical concepts in this comprehensive lecture on evolving geometries and entropy formulas.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Mirror Symmetry for Fano Orbifolds - Lecture 01

Explore mirror symmetry for Fano orbifolds, covering key concepts like differential operators and torque variety in this advanced mathematics lecture.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Applications of Homogeneous Dynamics - Lecture 1

Explore homogeneous dynamics and its applications in number theory and statistical mechanics, covering key concepts, theorems, and real-world implications.

• YouTube
• 59 minutes
• On-Demand
• Free Video

On the Resurgence and Asymptotic Resurgence of Homogeneous Ideals

Explore the mathematical concepts of resurgence and asymptotic resurgence in homogeneous ideals, delving into advanced algebraic geometry and commutative algebra theories.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Nash Blowups in Prime Characteristic

Explore Nash blowups in prime characteristic, delving into advanced algebraic geometry concepts with insights from speaker L. Núñez-Betancourt of CIMAT, Mexico.

• YouTube
• 27 minutes
• On-Demand
• Free Video

General Hyperplane Section of Log Canonical Threefolds in Positive Characteristic

Explore log canonical threefolds in positive characteristic, focusing on general hyperplane sections. Gain insights into advanced algebraic geometry concepts and their applications.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Frobenius Maps on the Rings of Invariants

Explore Frobenius maps and their applications to invariant theory, focusing on algebraic structures and group actions in characteristic p.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Normal and Tight Hilbert Polynomials

Explore normal and tight Hilbert polynomials with P.H. QUY from FPT University, Vietnam. Gain insights into this specialized mathematical topic through an expert presentation.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Residual Intersections

Explore residual intersections in mathematics with expert M. CHARDIN, delving into advanced concepts and their applications in algebraic geometry.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

The Mathematical Contributions of Craig Huneke - A Sampler

Explore the significant mathematical contributions of Craig Huneke, focusing on his influential work in commutative algebra and algebraic geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Geometry of the Tight Closure Operation

Explore the geometric aspects of tight closure operations in mathematics, delving into advanced algebraic concepts and their applications.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Singularities and Hilbert Functions

Explore the mathematical concepts of singularities and Hilbert functions, delving into their properties, applications, and interconnections in algebraic geometry and commutative algebra.

• YouTube
• 36 minutes
• On-Demand
• Free Video

On a Generalization of Two Results of Happel to Commutative Rings

Explore generalizations of Happel's results in commutative ring theory, expanding mathematical understanding and applications in algebraic structures.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Finite Presentation for the Tame Fundamental Group in Positive Characteristic

Explore the tame fundamental group in positive characteristic, focusing on finite presentations and their implications for algebraic geometry and number theory.

• YouTube
• 58 minutes
• On-Demand
• Free Video