Geometric Invariant Theory Courses and Certifications

Hausdorff Center for Mathematics

Equidistribution of Expanding Translates of Curves in Homogeneous Spaces

Explores equidistribution of expanding translates of non-degenerate real-analytic curves in semisimple group spaces, extending previous work and applying to Diophantine approximation on matrices.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

IMSA

Windows and Geometric Invariant Theory

Explore windows theory in algebraic geometry, its applications to GIT constructions, and its impact on derived categories and stability conditions in various mathematical contexts.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Fields Institute

Full Exceptional Collections on Linear GIT Quotients

Explore exceptional collections on linear GIT quotients, delving into advanced mathematical concepts with insights from Kimoi Kemboi's research at the Fields Medal Symposium.

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

IMSA

On Some Fans and Toric Varieties Related to Branching Laws for Reductive Groups

Explore algebraic group embeddings and their representation theory through Geometric Invariant Theory, focusing on H-invariant vectors and the GIT-fan's role in encoding information.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Quiver Moduli and Applications

Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.

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

Hausdorff Center for Mathematics

Felix Klein Lectures 2020 - Quiver Moduli and Applications

Explore quiver moduli spaces' construction, topology, and geometry, with focus on cohomology and applications to Gromov-Witten and Donaldson-Thomas theories via wall-crossing.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Felix Klein Lectures 2020- Quiver Moduli and Applications

Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

IMSA

Quantum Toric Geometry II - Non-Commutative Geometric Invariant Theory

Explore quantum geometric invariant theory, extending classical GIT to non-commutative cases. Gain insights into cutting-edge research in quantum toric geometry.

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

IMSA

Is There Geometric Recursion for the Moduli Space of Toric Varieties?

Explore moduli space of quantum toric varieties, drawing parallels with geometric recursion. Delve into quantum lattices, tori, and CP1, examining group actions, calibration, and quantum geometric invariant theory.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 4

Explore quotients of birational transformation groups in this advanced algebraic geometry lecture by Susanna Zimmermann, part of the V Latin American School of Algebraic Geometry at IMPA.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Moduli Spaces of Points on the Projective Line and Other Varieties with Many Symmetries

Explore equivariant birational geometry through recent results and constructions presented by Yuri Tschinkel from SCGP & NYU.

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

BIMSA

Structure of Equivariant Derived Categories - ICBS 2024

Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.

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

Centre de recherches mathématiques - CRM

A Canonical Form for Tensor Networks

Découvrez une forme canonique pour les réseaux de tenseurs, basée sur la théorie des invariants géométriques. Explorez ses applications potentielles, notamment pour améliorer la confidentialité dans l'apprentissage automatique.

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