Bruhat-Tits Theory Courses and Certifications

International Centre for Theoretical Sciences

Introduction to Bruhat-Tits Theory - Lecture 1

Comprehensive introduction to Bruhat-Tits theory, exploring its foundations and applications in algebraic groups and number theory. Ideal for advanced mathematics students and researchers.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Bruhat-Tits Theory - Lecture 3

Explore Bruhat-Tits theory in algebraic groups with Brian Conrad, focusing on applications to arithmetic, geometry, and number theory in this advanced mathematics lecture.

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

International Centre for Theoretical Sciences

Introduction to Bruhat-Tits Theory - Lecture 2

Explore Bruhat-Tits theory in this advanced mathematics lecture, focusing on Zariski dense subgroups and their applications in algebraic geometry and number theory.

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

International Centre for Theoretical Sciences

Zariski Dense Subgroups, Number Theory and Geometric Applications - 2024

Explore advanced topics in Zariski dense subgroups, arithmetic groups, and their geometric applications through expert lectures on algebraic geometry and number theory.

• YouTube
• 1 day 17 hours 53 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Central Extensions of Arithmetic Lattices by Matthew Stover

Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Arithmetic Groups of Higher Real Rank Are Not Left-orderable

Explore the non-left-orderability of arithmetic groups with higher real rank in this mathematical lecture, delving into advanced concepts in group theory and algebraic structures.

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

International Centre for Theoretical Sciences

CSP and Unipotent Generators for Higher Rank Nonuniform Arithmetic Groups

Exploration of CSP and unipotent generators in higher rank nonuniform arithmetic groups, discussing recent advancements and applications in algebraic and differential geometry.

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

International Centre for Theoretical Sciences

Hypergeometric Groups and their Arithmeticity

Explore hypergeometric groups and their arithmeticity in this advanced mathematics lecture, delving into Zariski-dense subgroups and their applications in geometry and number theory.

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

International Centre for Theoretical Sciences

Standard Compact Clifford-Klein Forms and Lie Algebra Decompositions

Explore Lie algebra decompositions and standard compact Clifford-Klein forms in this advanced mathematics lecture, delving into geometric applications of Zariski dense subgroups and number theory.

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

International Centre for Theoretical Sciences

The Genus of Division Algebras Over Discrete Valued Fields

Exploration of division algebras over discrete valued fields, focusing on their genus. Covers advanced algebraic concepts and their applications in number theory and field theory.

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

International Centre for Theoretical Sciences

Uniform Stability of Higher-rank Arithmetic Groups - Lecture 1

Explore uniform stability in higher-rank arithmetic groups. Delve into advanced mathematical concepts and their applications in algebraic and differential geometry.

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