ICTP Mathematics Courses

ICTP-IGAP Seminar on Algebraic Geometry - Representations of the Diagonal for Moduli Spaces of Sheaves

Dive into Algebraic Geometry with ICTP Mathematics, exploring Lie algebra actions, Chern classes, and Lefschetz operators in a 1-2 hour seminar led by Alina Marian.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Online Course

Moduli Spaces of Sheaves, Vafa-Witten Formula and Virtual Invariants

Dive into Algebraic Geometry with ICTP Mathematics, exploring moduli spaces of sheaves, Vafa-Witten formula, and virtual invariants in a 1-2 hour seminar.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Online Course

ICTP-IGAP Seminar on Algebraic Geometry - The SL(2) Action on the Chow Ring of an Abelian Variety

Dive into Algebraic Geometry with ICTP Mathematics, exploring the sl(2) action on the Chow ring of an abelian variety in a 1-2 hour seminar.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Online Course

Mixing Rates for Symplectic Almost Anosov Maps - ICTP 2021

Dive into symplectic almost Anosov maps with Peyman Eslami in this 1-2 hour material from ICTP Mathematics.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Online Course

Dynamics of Smooth Surface Diffeomorphisms: Strong Positive Recurrence - ICTP 2021

Explore the dynamics of smooth surface diffeomorphisms with Sylvain Crovisier from Un. Paris_Saclay, France. Offered by ICTP Mathematics, expect 1-2 hours of material.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Online Course

On the Thermodynamical Formalism for Expanding Measures - ICTP 2021

Dive into thermodynamical formalism for expanding measures with Vilton Pinheiro in this 1-2 hour ICTP Mathematics session.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021

Explore geodesic flows on non-positively curved surfaces with Yakov Pesin in this 1-2 hour material from ICTP Mathematics.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Online Course

Dynamics of Smooth Surface Diffeomorphisms: Entropy Continuity of Exponents - ICTP 2021

Explore the dynamics of smooth surface diffeomorphisms with Jerome Buzzi from Un Paris-Saclay, France. Offered by ICTP Mathematics, expect 1-2 hours of material.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

From Knots to Number Theory I

Explore the intriguing connections between quantum invariants of knots, 3-manifolds, and high-level number theory with ICTP Mathematics. No prior knowledge required.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Online Course

Reversible D-Dimensional CA Over the Ring ZM and Some Applications in Ergodic Theory

Explore the ergodic properties and entropies of 1D cellular automata with ICTP Mathematics. Learn about invertibility, entropy concepts, and topological entropy in under an hour.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Basic Notions Seminar - Orientations in the Plane as Quantum States

Explore fundamental quantum physics concepts using plane orientations with ICTP Mathematics. Understand quantum states dynamics and light linear polarisation. Less than 1hr workload.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Conditional Measures for the Zero Set of the Gaussian Analytic Function

Explore complex Gaussians and their zero set distributions with Alexander Bufetov from Aix-Marseille University in this 1-2 hour material from ICTP Mathematics.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

Probability Invariant Measure, Dynamical Partition and Hitting Times of Circle Map with Singularities

Explore circle dynamics and new findings in circle maps with break or critical points in this 1-2 hour material from ICTP Mathematics.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

On the Resurgence and Asymptotic Resurgence of Homogeneous Ideals

Dive into the resurgence and asymptotic resurgence of homogeneous ideals with A.V. Jayanthan from IIT Madras, India. Offered by ICTP Mathematics, it's a short, under 1-hour study.

• YouTube
• 34 minutes
• On-Demand
• Free Online Course

Nash Blowups in Prime Characteristic

Dive into Nash Blowups in Prime Characteristic with L. NÚÑEZ-BETANCOURT from CIMAT, Mexico, in this short ICTP Mathematics offering.

• YouTube
• 27 minutes
• On-Demand
• Free Online Course