BIMSA Courses

Functoriality and Sheaf Property for Wrapped Fukaya Categories

Explore functorial and sheaf-theoretic properties of wrapped Fukaya categories, surveying key results and insights in this advanced mathematical topic.

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

The Vanishing of the Genus Two Summand of the Cosmological Constant in Perturbative Supersymmetric String Theory

Explore the genus two summand of the cosmological constant in perturbative supersymmetric String Theory, focusing on its rigorous definition and computation.

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

Function Spaces on Quantum Tori and Their Applications

Explore Sobolev, Besov, and Triebel-Lizorkin spaces on quantum tori, examining their properties and applications in pseudo-differential theory and noncommutative geometry.

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

2D Percolation, Random Triangulation, and Liouville Quantum Gravity

Explore 2D random geometry, Liouville quantum gravity, and their connections to discrete random surfaces, with insights on percolation and triangulation scaling limits.

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

Polynomial Time Cryptanalytic Extraction of Neural Network Models

Explore polynomial-time techniques for extracting neural network parameters, improving upon previous methods and demonstrating practical efficiency on a CIFAR10 classifier.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

From the Sachdev-Ye-Kitaev Model to a Universal Theory of Strange Metals

Explore the Sachdev-Ye-Kitaev model's impact on quantum phase transitions in metals and its connection to strange metal states in correlated electron compounds and black hole theory.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Elliptic Cohomology and Enumerative Geometry

Explore the intersection of elliptic cohomology and enumerative geometry, focusing on stable envelopes and their role in understanding q-difference equations.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Critical Phenomena from the Perspective of Fuzzy Sphere Regularization - ICBS 2024

Explore critical phenomena and phase transitions using fuzzy sphere regularization, focusing on 3D Ising model and conformal field theory applications.

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

Dynamical Degrees - #ICBS2024

Explore dynamical degrees, comparing them to other dynamics concepts and delving into key findings using ideas from dynamics, Hodge theory, and geometries.

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

Measure Rigidity Beyond Homogeneous Dynamics

Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.

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

Causal Inference with Mendelian Randomization in Biomedical Studies

Explore Mendelian Randomization for causal inference in biomedical research. Learn innovative methods, overcome challenges, and gain insights into complex disease relationships through simulation and case studies.

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

Tilting Theory Revisited - Developments in Real Grothendieck Groups

Explore recent developments in tilting theory, focusing on real Grothendieck groups and 2-term silting complexes. Gain insights into g-fans, representation theory, and connections with canonical decompositions.

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

Fracton Quantum Order

Explore fracton phases in quantum systems, their restricted mobility excitations, and ground-space degeneracy. Review key developments and unifying perspectives on these emergent phases.

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

Constraints on Quantum Gravity

Explore constraints on quantum gravity theories, focusing on AdS/CFT correspondence and recent progress in holographic approaches. Examine symmetry constraints and the Distance Conjecture proof.

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

The Langlands Project - Connecting Automorphic Forms and Number Theory

Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.

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