Graph Theory Courses

BIMSA

Polynomial Bounds on Reidemeister Moves in Knot Theory

Explore polynomial bounds on Reidemeister moves in knot theory, examining algorithms for trivial knot recognition and the relationship between diagram complexity and move sequences.

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

BIMSA

Accelerating Materials Design with Crystal Graph Neural Networks

Explore Crystal Graph Convolutional Neural Networks for predicting material properties and their impact on graph neural networks and transformers in materials design.

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

BIMSA

Gravity as a Double Copy of Gauge Theory

Explore the gravitational double copy framework, connecting gravity to Yang-Mills theory and enabling advanced quantum computations and classical general relativity studies.

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

BIMSA

The Amplituhedron - Connecting Scattering Amplitudes and Quantum Field Theory

Explore the connection between scattering amplitudes and the Amplituhedron, a novel mathematical concept generalizing convex polytopes into Grassmannians.

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

BIMSA

Mathematical Theories for Metamaterials: From Condensed Matter Theory to Subwavelength Physics

Explore mathematical theories for metamaterials, bridging quantum and classical physics to revolutionize nanotechnology and subwavelength wave manipulation.

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

BIMSA

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
• On-Demand
• Free Video

BIMSA

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
• On-Demand
• Free Video

BIMSA

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
• On-Demand
• Free Video

BIMSA

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
• On-Demand
• Free Video

BIMSA

Recent Progress in Random Matrix Theory

Explore recent advancements in random matrix theory, focusing on spectral statistics of normalized adjacency matrices in random d-regular graphs and their eigenvalue rigidity.

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

BIMSA

Mathematical Theories for Metamaterials: From Condensed Matter Theory to Subwavelength Physics

Explore mathematical theories for metamaterials, bridging condensed matter theory and subwavelength physics. Gain insights into wave manipulation and nanotechnology advancements.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

BIMSA

Geometry and Integers - Connections Between Number Theory and Geometric Structures

Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

BIMSA

Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis

Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

What is an L-function? - An Introduction to Zeta and L-functions in Number Theory

Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.

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

Centre de recherches mathématiques - CRM

Corona Rigidity in Operator Theory and C*-Algebras

Explore corona rigidity in operator theory, examining extensions of Weyl-von Neumann theorem and its implications for C*-algebras, Calkin algebra, and isomorphisms of quotients.

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