Orbifolds Courses and Certifications

IMSA

The Stringy Spectrum of Orbifolds

Explore the stringy spectrum as an additive invariant of orbifolds, its properties, and its connection to isolated hypersurface singularities through examples and explanations.

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

IMSA

Orbifolds as Stacks & Stringy Cohomology and Localization

Explore orbifolds as stacks, twisted sectors, stringy cohomology, and localization methods in advanced mathematics with expert Ernesto Lupercio from CINVESTAV.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Fields Institute

Bordism of Orbifolds - Lecture 2

Explore the concept of bordism in orbifolds with Stanford's Mohammed Abouzaid, delving into advanced mathematical theories and their applications in toric topology and geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

The Stringy Spectrum of Orbifolds

Dive into the stringy spectrum of orbifolds, exploring its motivic measure properties and connection to Steenbrink spectrum of isolated hypersurface singularities.

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

IMSA

Ernesto Lupercio, CINVESTAV - Stringy Motives

Explore the localization principle for orbifolds in this advanced mathematical survey, featuring joint research on stringy motives and their applications.

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

IMSA

Alberto Verjovsky- Hilbert-Blumenthal and Bianchi Quaternionic Orbifolds

Explore recent advancements in quaternionic orbifolds, generalizing Hilbert-Blumenthal varieties to Hamilton quaternions and quaternion algebras over number fields, with insights on cusps and ongoing research.

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

Fields Institute

Bordism of Derived Orbifolds - Lecture 3

Explore advanced mathematical concepts in bordism theory and derived orbifolds with Stanford University expert Mohammed Abouzaid in this Fields Institute lecture.

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

Michael Penn

Permutation Orbifolds of Vertex Operator Algebras

Explore permutation orbifolds in vertex operator algebras, delving into advanced algebraic structures and their applications in mathematical physics and string theory.

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

Hausdorff Center for Mathematics

Gonçalo Tabuada: Additive invariants of orbifolds

Explore additive invariants of orbifolds in algebraic geometry and number theory with Gonçalo Tabuada's insightful lecture from the Hausdorff Trimester Program workshop.

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

Kavli Institute for Theoretical Physics

Designing Gravitational Theories via Symmetric Product Orbifolds - Alejandra Castro

Explore symmetric product orbifolds in gravitational theory design. Discover innovative approaches to holography and quantum gravity, bridging conformal field theory with modern theoretical physics concepts.

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

Hausdorff Center for Mathematics

Skew-Gentle Algebras and Surface Orbifolds, Claire Amiot

Explore skew-gentle algebras and their geometric models in derived categories, extending concepts from gentle algebras to skew-group algebras. Joint work with Thomas Brüstle.

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

ICTP Mathematics

Mirror Symmetry for Fano Orbifolds - Lecture 01

Explore mirror symmetry for Fano orbifolds, covering key concepts like differential operators and torque variety in this advanced mathematics lecture.

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

Fields Institute

On Integral Cohomology of Weighted Grassmann Orbifolds

Explore integral cohomology of weighted Grassmann orbifolds in this advanced mathematics talk, delving into complex topological structures and their properties.

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

Fields Institute

Homotopy Types of Toric Orbifolds from Weyl Polytopes

Explore homotopy types of toric orbifolds derived from Weyl polytopes in this advanced mathematical talk, delving into complex geometric structures and their topological properties.

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

International Centre for Theoretical Sciences

Convex Real Projective Structures on Reflection Orbifolds

Explore convex real projective structures on reflection orbifolds in this advanced lecture from the "New trends in Teichmüller theory" program, covering cutting-edge research in geometric theory.

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