Enumerative Geometry Courses and Certifications

BIMSA

Motivic Homotopy Theory and Quadratic Enumerative Geometry

Explore how motivic homotopy theory revolutionizes quadratic enumerative geometry through advanced mathematical frameworks and computational techniques.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

BIMSA

Enumerative Geometry, Statistical Physics, and Quantum Mechanics

Explore connections between enumerative algebraic geometry, Gromov-Witten theory, matrix models, statistical physics paradigms, and quantum mechanics applications.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Refined Enumerative Geometry

Explore Milnor-Witt sheaves, motivic homotopy theory, and Chow-Witt groups. Gain insights into refined enumerative geometry and its applications in algebraic geometry and topology.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Fields Institute

Equivariant Enumerative Geometry

Explore equivariant enumerative geometry, delving into advanced mathematical concepts and their applications in arithmetic and geometry.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Motivic, Equivariant and Non-commutative Homotopy Theory - Summer School 2020

Explore advanced topics in motivic, equivariant homotopy theory and non-commutative geometry through expert lectures covering latest developments in mathematical foundations and applications.

• YouTube
• 1 day 9 hours 42 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Basic Notions Seminar on Tropical Geometry

Introduction to tropical geometry, focusing on plane tropical curves as piecewise linear graphs and their applications in enumerative geometry. Explores the combinatorial aspects that reflect properties of algebraic varieties.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Stony Brook Mathematics

Counting Curves in Calabi-Yau Threefolds

Explore enumerative invariants and a universal approach to counting curves in Calabi-Yau threefolds. Discover how cluster formalism aids computations and potentially simplifies conjectural identities between invariants.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Harvard CMSA

Donaldson-Thomas and Gromov-Witten Theories

Explore advanced mathematical theories connecting Donaldson-Thomas and Gromov-Witten invariants through K3 fibrations, stable pairs, and S-duality conjectures in algebraic geometry.

• YouTube
• 12 hours 37 minutes
• Self-Paced
• Free Video

Stony Brook Mathematics

Mini-School in Geometry

Dive into advanced geometric concepts through expert lectures on GIT stability, K-stability, dynamics, enumerative geometry, and singular Hermitian metrics.

• YouTube
• 1 day 7 hours 4 minutes
• Self-Paced
• Free Video

IMSA

Homological Mirror Symmetry - DT Invariants & Holomorphic Curves

Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, with applications in enumerative geometry and insights from quantum field theories.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

IMSA

Quivers, Curve Counting, and Fermionic Sums in Topology

Explore connections between quantum groups, vertex algebras, and quiver representations in topology. Discover how fermionic forms link these areas, shedding new light on enumerative geometry and curve counting.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

IMSA

Universally Counting Curves in Calabi-Yau Threefolds

Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Brauer Groups, Twisted Derived Categories, and Hodge Theory

Explore recent developments in Brauer group theory, examining the period-index problem through derived categories, Hodge theory, and enumerative geometry methods.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Fields Institute

A Numerical Toolkit for the Likelihood Correspondence

Explore numerical methods for analyzing likelihood correspondences in statistical models, focusing on applications in enumerative geometry and algebraic statistics.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Fields Institute

Galois Groups of Lacunary Sparse Polynomial Systems

Explore Galois groups in lacunary sparse polynomial systems, examining their properties and applications in algebraic geometry and number theory.

• YouTube
• 45 minutes
• Self-Paced
• Free Video