International Mathematical Union Courses

Interpreting Deep Neural Networks Towards Trustworthiness

Explores methods for interpreting complex neural networks, introducing ACD and AWD techniques. Advocates for a quality-controlled data science lifecycle to ensure trustworthy model interpretation.

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

David Loeffler, Sarah Zerbes - Euler Systems and the Bloch-Kato Conjecture for Automorphic

Explore Euler systems and the Bloch-Kato conjecture in relation to automorphic forms, delving into advanced mathematical concepts and their applications.

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

Laurent Saloff-Coste - Breaking Heat Kernel Estimates Into Pieces

Breaking heat kernel estimates on Riemannian manifolds by analyzing pieces separately and reconstructing the whole. Explores Brownian motion within segments and transitions between them.

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

Formation and Development of Singularities for the Compressible Euler Equations

Explore the formation and evolution of singularities in compressible Euler equations, delving into mathematical intricacies and their implications for fluid dynamics.

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

What Is an I-Quantum Group and What Is It Good For?

Explore i-quantum groups, their properties, and applications in mathematics and physics. Gain insights into this advanced algebraic structure and its significance in quantum theory.

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

Homotopy Patterns in Group Theory

Explore homotopy patterns in group theory, delving into advanced mathematical concepts and their applications in topology and algebra.

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

Some Recent Developments in Ricci Flow

Explore recent advancements in Ricci flow theory with mathematician Richard Bamler, delving into cutting-edge research and its implications for geometric analysis.

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

The Mathematics of Hiding Secrets in Software

Explore indistinguishability obfuscation, a powerful cryptographic tool for transforming programs into incomprehensible yet functionally equivalent versions, and its applications in securing software.

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

Quantitative Invertibility of Non-Hermitian Random Matrices

Explore quantitative invertibility of non-Hermitian random matrices with Konstantin Tikhomirov in this mathematical lecture on advanced linear algebra concepts.

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

Second and Higher Order Statistical Methods in Some Once Differentiable Problems

Explores advanced statistical methods for high-dimensional data analysis, including bias correction in linear regression, bootstrap techniques for distribution approximation, and functional estimation of mean vectors.

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

Representations of Reductive Groups Over Local Fields

Explore reductive group representations over local fields with Tasho Kaletha, delving into advanced mathematical concepts and their applications in algebraic number theory.

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

Gideon Schechtman - The Number of Closed Ideals in the Alg. of Bounded Operators on Lebesgue Spaces

Explore the intricacies of closed ideals in bounded operators on Lebesgue spaces, delving into advanced mathematical concepts and their implications in functional analysis.

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

A Classical View on Derived Algebraic Geometry

Explore derived algebraic geometry from a classical perspective, gaining insights into this advanced mathematical field and its applications.

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

Quantitative Analysis of Field Concentration in Presence of Closely Located

Quantitative analysis of field concentration in composites with closely located inclusions, focusing on optimal estimates and asymptotic characterization in various physical contexts.

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

CWM-CoD Joint Panel - Best Practices Towards a More Diverse and Inclusive Mathematical Community

Experts discuss strategies for promoting diversity and inclusion in mathematics, addressing gender gaps, language barriers, and representation of underrepresented groups to foster a more equitable and innovative mathematical community.

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