International Centre for Theoretical Sciences Courses

Duality and Stratification in Commutative Algebra - Lecture 3

Explore duality and stratification in commutative algebra, focusing on derived categories, Grothendieck duality, and connections to algebraic topology and representation theory.

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

Boundary Problems for Incompressible Fluids by Senjo Shimizu

Exploration of free boundary problems in incompressible fluid dynamics, discussing mathematical approaches and recent developments in this complex area of fluid mechanics.

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

Stretch Factors of Graph Maps and Free Group Automorphisms by Radhika Gupta

Explore stretch factors in graph maps and free group automorphisms, delving into mathematical concepts and their applications in topology and group theory.

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

Compressible CFD - Two Different Approaches for Solving the Problem of the Flow

Explore two approaches for solving compressible flow problems in computational fluid dynamics, focusing on practical applications and advanced numerical techniques.

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

Spatio Temporal Model Development in the Data Science Era by Budi Nurani Ruchjana

Explore spatio-temporal model development in the data science era, focusing on innovative approaches and applications in analyzing complex spatial and temporal data patterns.

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

Some Special Cases of the Abhyankar-Sathaye Conjecture by Neena Gupta

Exploration of specific instances of the Abhyankar-Sathaye Conjecture, delving into mathematical intricacies and potential implications for algebraic geometry research.

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

Mixed Type PDEs and Compressible Flows

Explore mixed type PDEs and compressible flows with Myoungjean Bae, delving into advanced mathematical concepts and their applications in fluid dynamics.

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

Asymptotics of Large Autocovariance Matrices by Monika Bhattacharjee

Explore the mathematical intricacies of large autocovariance matrices and their asymptotic behavior in this insightful talk by Monika Bhattacharjee, part of the Asian-Oceanian Women in Mathematics inaugural meeting.

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

An Age-Structured Model of COVID-19 Transmission with Optimal Vaccination

Explore an age-structured model for COVID-19 transmission and optimal vaccination strategies, presented by Polly Sy as part of the inaugural Asian-Oceanian Women in Mathematics meeting.

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

Resolution of Singularities and the McKay Correspondence by Yukari Ito

Explore resolution of singularities and McKay correspondence in algebraic geometry with Yukari Ito's insightful lecture, part of the inaugural Asian-Oceanian Women in Mathematics meeting.

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

Filament Structure in Random Plane Waves by Melissa Tacy

Explore filament structures in random plane waves with Melissa Tacy. Gain insights into this mathematical concept and its implications in a concise, engaging presentation.

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

Residues and Trace Maps in Grothendieck Duality - Lecture 4

Explore residues and trace maps in Grothendieck Duality, advancing understanding of algebraic geometry and commutative algebra concepts within the broader context of dualities in topology and algebra.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

Ambidexterity III by Neil Strickland

Explore advanced concepts in algebraic topology, focusing on ambidexterity and its applications in duality phenomena within tensor-triangulated categories.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Quillen Stratification Theorems - Lecture 4

Explore Quillen Stratification Theorems in algebraic topology, examining their applications and implications for understanding cohomological support varieties and triangulated categories.

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

Small Scale Formations for the Incompressible Boussinesq Equation by Yao Yao

Explores small scale formations in incompressible Boussinesq equations, discussing mathematical insights and implications for fluid dynamics and atmospheric sciences.

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