Nilpotent Groups Courses and Certifications

Banach Center

On Recurrence and Nilsystems

Explore recurrence and nilsystems in topological dynamics, examining their connections and implications for ergodic theory and combinatorics.

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

Banach Center

Approximation of Vertex-Transitive Graphs by Nilpotent Groups and Applications to Probability

Explore vertex-transitive graph approximation using nilpotent groups and its probabilistic applications in this mathematical research presentation.

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

Banach Center

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 2

Explore advanced concepts in spectral multipliers and wave equations for sub-Laplacians, building on previous knowledge and delving into complex mathematical theories.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory

Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) groups.

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

Simons Semester on Dynamics

Distribution of Translation Orbits Along Good Averaging Sequences

Delve into advanced mathematical concepts exploring translation orbit distributions and averaging sequences, featuring insights from University of Memphis expert Mate Wierdl.

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

Simons Semester on Dynamics

The Ergodic Hierarchy of Mixing, van der Corput's Difference Theorem, and the Ergodic Theory of Noncommuting Operators

Delve into advanced ergodic theory concepts, exploring mixing hierarchies, van der Corput's difference theorem, and noncommuting operators through expert mathematical analysis.

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

Simons Semester on Dynamics

Automatic Sequences from the Point of View of Higher Order Fourier Analysis

Delve into advanced mathematical concepts exploring automatic sequences through higher order Fourier analysis, featuring insights on nilpotent structures and topological dynamics.

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

Simons Semester on Dynamics

Approximation of Vertex Transitive Graphs by Nilpotent Groups and Applications to Probability

Delve into advanced mathematical concepts exploring vertex-transitive graphs, their approximation through nilpotent groups, and probabilistic applications in topological dynamics.

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

Simons Semester on Dynamics

Separating Recurrence Properties in Dynamical Systems

Explore advanced mathematical concepts in topological dynamics and ergodic theory, focusing on separating recurrence properties in nilpotent structures.

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

Simons Semester on Dynamics

Cubespaces and Homotopy Theory

Delve into advanced mathematical concepts exploring the intersection of cubespaces and homotopy theory, with insights from topological dynamics and ergodic theory applications.

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

Simons Semester on Dynamics

On Elliott's Conjecture and Applications

Delve into advanced mathematical concepts exploring Elliott's conjecture, its theoretical foundations, and practical applications in topological dynamics and ergodic theory.

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

Simons Semester on Dynamics

Joint Ergodicity Beyond Polynomials

Delve into advanced mathematical concepts of joint ergodicity, exploring extensions beyond polynomial structures through theoretical frameworks and dynamic systems analysis.

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

Simons Semester on Dynamics

Modern Tools in the Joint Ergodicity Problem

Explore advanced mathematical concepts and tools for solving joint ergodicity problems, focusing on nilpotent structures in topological dynamics and ergodic theory.

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

Simons Semester on Dynamics

Infinite Sumsets and Cubic Measures

Delve into advanced mathematical concepts exploring infinite sumsets and cubic measures, featuring insights from Northwestern University's Bryna Kra on nilpotent structures and topological dynamics.

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

Simons Semester on Dynamics

Disintegrating Cubic Measures for Sumsets

Explore advanced mathematical concepts in cubic measure disintegration and their applications to sumset analysis through Robertson's theoretical framework and methodologies.

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