Conference GSI Courses

A q-Analogue of the Family of Poincaré Distributions on the Upper Half Plane

Explore q-analogues of Poincaré distributions on the upper half plane, delving into mathematical concepts and their applications in geometric analysis.

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

The Momentum Mapping of the Affine Real Symplectic Group

Explore the momentum mapping of the affine real symplectic group, delving into its mathematical properties and applications in geometric analysis.

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

Poisson Geometry of the Statistical Frobenius Manifold

Explore Poisson geometry's application to statistical Frobenius manifolds, delving into advanced mathematical concepts and their intersections.

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

A Discrete Version for Vortex Loops in 2D Fluids

Explore a discrete model for vortex loops in two-dimensional fluid dynamics, examining mathematical concepts and computational applications.

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

Stratified Spaces for Frugal Learning with Brain Signals

Explore frugal learning techniques using brain signals and stratified spaces to enhance cognitive processes and optimize data interpretation.

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

Twistor Spaces on Foliated Manifolds - Geometric Science of Information

Explore twistor spaces on foliated manifolds and their applications in geometric information science. Delve into advanced mathematical concepts and their relevance to information theory.

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

Geometry of Saccades and Saccadic Cycles

Explore the intricate geometry of saccades and saccadic cycles, delving into the fascinating mechanics behind rapid eye movements and their cyclical patterns.

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

A Sub-Riemannian Model of the Functional Architecture of M1 for Arm Movement Direction

Explore a sub-Riemannian model of M1's functional architecture for arm movement direction, gaining insights into neural mechanisms and motor control.

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

Differential Operators Heterogeneous in Orientation and Scale in the Cortical V1 Cortex

Explore differential operators in the V1 cortex, examining their heterogeneity in orientation and scale for advanced neuroscience insights.

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

Gabor Frames and Contact Structures - Signal Encoding and Decoding in the Primary Visual Cortex

Explore signal encoding and decoding in the primary visual cortex through Gabor Frames and Contact structures.

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

Nonholonomic Systems with Inequality Constraints

Explore nonholonomic systems with inequality constraints, delving into advanced concepts and applications in control theory and robotics.

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

Virtual Affine Nonholonomic Constraints

Explore virtual affine nonholonomic constraints in mechanical systems, examining their mathematical foundations and practical applications in robotics and control theory.

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

Spotting Expressivity Bottlenecks and Fixing Them Optimally

Discover techniques to identify and optimally resolve expressivity bottlenecks, enhancing system performance and efficiency.

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

On Canonical Parameterizations of 2D Shapes

Explore canonical parameterizations of 2D shapes, delving into mathematical concepts and applications in geometry and computer graphics.

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

Three Methods to Put a Riemannian Metric on Shape Space

Explore three approaches for applying Riemannian metrics to Shape Space, enhancing understanding of geometric analysis in shape theory.

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