BIMSA Courses

Proof Mining - Applications of Logic to Nonlinear Analysis and Nonsmooth Optimization

Discover how proof mining techniques from logic revolutionize nonlinear analysis and nonsmooth optimization through advanced mathematical applications.

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

Nonparametric Inference Under Shape Constraints - Past, Present and Future

Explore nonparametric inference methods with shape constraints, covering historical developments, current techniques, and future research directions in statistical analysis.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Caratheodory and Kobayashi Metrics on Moduli Spaces of Riemann Surfaces

Explore Caratheodory and Kobayashi metrics on moduli spaces of Riemann surfaces through advanced mathematical analysis and geometric insights.

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

Machine Unlearning - History and Presence

Explore machine unlearning concepts, tracing its evolution from historical foundations to current applications and methodologies in modern AI systems.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Dynamics on Homogeneous Spaces - A Quantitative Viewpoint

Explore quantitative methods in dynamical systems theory applied to homogeneous spaces through advanced mathematical analysis and research perspectives.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Tame Categorical Local Langlands Correspondence

Explore the tame categorical local Langlands correspondence through advanced mathematical theory and its applications in algebraic geometry and representation theory.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Diffeomorphisms of 4-Manifolds

Explore advanced mathematical concepts in 4-dimensional topology through expert analysis of diffeomorphisms and their properties in manifold theory.

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

Applied ℓ-adic Cohomology

Explore advanced techniques in $\ell$-adic cohomology and their practical applications in modern algebraic geometry and number theory.

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

Topological 5D N=2 Gauge Theories - Mirror Symmetry and Langlands Duality of A-infinity Categories of Floer Homologies

Explore advanced connections between 5-dimensional supersymmetric gauge theories, mirror symmetry, and Langlands duality through A-infinity categories of Floer homologies.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

AdS Black Holes from QFT

Explore the theoretical connection between quantum field theory and Anti-de Sitter black holes in this advanced physics lecture from BIMSA's conference.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Quantum Topology and Hyperbolic Geometry

Explore the fascinating intersection of quantum topology and hyperbolic geometry through advanced mathematical concepts and their interconnected relationships.

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

Maximal Compact Subvarieties of Ag

Explore advanced algebraic geometry through Jacob Tsimerman's analysis of maximal compact subvarieties within moduli spaces of abelian varieties.

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

Stable Homotopy Groups of Spheres and the Kervaire Invariant Problem

Explore advanced algebraic topology through stable homotopy groups of spheres and the resolution of the Kervaire invariant problem in this mathematical lecture.

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

Recent Advances in the Theory of Quasi-Crystals and their Combinatorial Applications

Discover cutting-edge developments in quasi-crystal theory and explore their innovative combinatorial applications in this advanced mathematical presentation.

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

Collapsing Calabi-Yau Manifolds

Explore the geometric behavior of Calabi-Yau manifolds as they undergo collapsing processes in this advanced mathematical analysis.

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