BIMSA Courses

On the p-adic Local Langlands Correspondence

Explore the $p$-adic local Langlands correspondence for ${\mathrm GL}_2({\mathbb Q}_p)$, focusing on geometric constructions from joint works with Dospinescu and Niziol.

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

How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function

Explore the precise determination of photon distribution in protons using electron-proton scattering data, enhancing our understanding of particle physics at the Large Hadron Collider.

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

L^2-Invariants and Dynamical Invariants in Algebraic Actions

Explore connections between $L^2$-invariants in operator algebra and entropy/mean dimension in topological dynamical systems, focusing on algebraic actions of discrete groups.

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

Artistic Robotic Drawing on Large, Non-Planar Canvases

Explore innovative robotic drawing systems for large, non-planar canvases. Discover techniques like impedance control and TSP-pen art, and witness how robots mimic human artists in stroke-based drawing.

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

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
• Self-Paced
• Free Video

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