Supergeometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Splitting of Supervector Bundles on Projective Superspaces

Explore the splitting properties of supervector bundles on projective superspaces through advanced algebraic geometry techniques and theoretical frameworks.

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

Instituto de Matemática Pura e Aplicada

The Stack of Stable Supermaps

Explore the mathematical theory of stable supermaps through advanced algebraic geometry, examining their stack structure and applications in modern geometric frameworks.

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

NCCR SwissMAP

Supergeometry - Oddities of the Square

Dive into advanced mathematical physics concepts focusing on supergeometry and unique properties of squares, designed for graduate-level exploration and theoretical understanding.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Fields Institute

Derived Differential Geometry and the Quantization of Gauge Field Theories

Explore advanced mathematical concepts in derived differential geometry and their applications to quantizing gauge field theories in physics.

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

Fields Institute

Local Structures of Z-Graded Q-Manifolds

Explore Z-graded Q-manifolds' local structures, delving into advanced mathematical concepts within supergeometry and bracket structures in physics.

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

Fields Institute

Finite-Dimensional Representations of the Queer Lie Supergroup Q-N

Explore finite-dimensional representations of Q(n), including G-modules, Qn modules, Vera's theorem, and the typical lemma in supergeometry and bracket structures.

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

Fields Institute

Super Quantization

Explore supergeometry, representations of supergroups, and super quantization in this advanced mathematics lecture on super Harish-Chandra pairs and unitary representations.

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

Fields Institute

Shadow Sequences of Integers

Explore integer shadow sequences, cluster algebras, and supergeometry in this advanced mathematics talk, delving into coordinate transformations and hypergraphs.

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

Fields Institute

Some Open Problems in the Geometry of Complex Supercurves

Explore complex supercurves, including split and elliptic types, spectral curves, divisors, and line bundles. Discover open problems in supergeometry and their connections to physics.

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

Fields Institute

Cluster Algebra Structures from Decorated Super-Teichmüller Spaces

Explore cluster algebra structures derived from decorated super-Teichmüller spaces, examining dimer models and labels in the context of supergeometry and bracket structures.

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

Galileo Galilei Institute

Super Stable Maps of Genus Zero - Moduli Spaces and Normal Bundles

Explore moduli spaces and normal bundles of super stable maps in genus zero, delving into advanced mathematical concepts and their applications.

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

Galileo Galilei Institute

Moduli of Stable Supercurves and the Superstring Measure - Lecture 2

Explore moduli of stable supercurves and superstring measure in this advanced mathematical lecture, delving into complex geometric structures and their applications.

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

Galileo Galilei Institute

Moduli of Stable Supercurves and the Superstring Measure - Part 3

Explore moduli of stable supercurves and superstring measure in this advanced mathematical lecture, delving into complex geometric and algebraic concepts.

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

Galileo Galilei Institute

Moduli of Stable Supercurves and the Superstring Measure - Lecture 1

Explore moduli of stable supercurves and superstring measure in this advanced mathematical lecture, delving into complex geometric and algebraic concepts.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Video

Fields Institute

Super Geometry - Fields Institute Lecture 2024

Explore advanced concepts in super geometry with renowned mathematician Ron Donagi, delving into cutting-edge research and applications in mathematical physics.

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