University of Miami Courses

Interpolation for Polynomials in Two Variables

1 review

Join University of Miami's brief session with Rick Miranda on Interpolation for Polynomials in Two Variables, covering topics from the Picard Group to the A-Conjecture.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

Equivariant Birational Geometry of 3-Dimensional Projective Space

1 review

Explore the G-equivariant birational geometry of 3D projective space with Ivan Cheltsov from the University of Edinburgh, offered by the University of Miami.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

D-Modules and Toric Schobers

Explore classical mirror symmetry results with the University of Miami. Learn about perverse sheaves of categories and schobers in less than an hour.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Model Theory: From Logic to Geometric Stability Theory and O-Minimality II

Explore model theory principles with an emphasis on o-minimality, stability, and categoricity theory in relation to complex geometry, offered by the University of Miami.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Online Course

The P=W Conjecture in Genus Two and the Hodge Numbers of O'Grady 10

Explore the P=W conjecture and Hodge numbers of O'Grady 10 with the University of Miami. Dive into moduli of sheaves, singular cohomology, and Non Abelian Hodge Theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Hodge-Theoretic Aspects of Mirror Symmetry

Explore Hodge theory and mirror symmetry for Fano varieties in this brief, high-level offering from the University of Miami. Delve into conjectures and their proofs.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

Higher Chow Cycles Arising from Some Laurent Polynomials

Explore the construction of Calabi-Yau hypersurface sections and higher Chow cycles with the University of Miami. Delve into arithmetic mirror conjecture and rationality problems.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

Atiyah Class and Sheaf Counting on Local Calabi-Yau 4 Folds

Explore Donaldson-Thomas invariants of torsion sheaves on a smooth projective surface with Harvard's Artan Sheshmani in this 1-2 hour study from the University of Miami.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Online Course

Tame Geometry and Hodge Theory II

Explore tame geometry's applications in Hodge theory with this minicourse from the University of Miami. Learn about o-minimal structures, algebraization results, and period maps.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course

Degenerating Complex Variations of Hodge Structure

Explore complex variations of Hodge structure with Christian Schnell from SUNY Stony Brook in this 1-2 hour material from the University of Miami.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Remarks on Degenerations of K-Trivial Varieties

Explore degenerations of K3 surfaces and Hyperkaehler manifolds with Radu Laza from SUNY Stony Brook, in a 1-2 hour session offered by University of Miami.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Archimedean Height Pairings for Higher Cycles

Explore Archimedean height pairings on higher cycles in algebra with the University of Miami. Understand the asymptotic behavior of height pairing in Hodge-Tate structures.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Non-Simplicial Quantum Toric Varieties

Explore quantum toric varieties with Antonie Boivin from Universite Angers in this short lecture offered by the University of Miami.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Irrational Toric Varieties and the Secondary Polytope

Explore irrational toric varieties and their association with arbitrary fans in R^n in this 1-2 hour material from the University of Miami. Delve into the parallels with classical theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Basic Cohomology of Moment-Angle Manifolds

Explore the basic cohomology of moment-angle manifolds with UCLA's Roman Krutowski in this under 1-hour material from the University of Miami. Dive into calculations, theorems, and generalizations.

• YouTube
• 37 minutes
• On-Demand
• Free Online Course