Diastolic Geometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Rigidity and Flexibility of Periodic Hamiltonian Flows

Delve into rigidity and flexibility of periodic Hamiltonian flows with Gabriele Benedetti, exploring key concepts in systolic geometry and their applications to mathematical problems involving volume, length, and area comparisons.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - How Packing Simplices Helps to Study Symplectic Systoles

Dive into how packing simplices contributes to the study of symplectic systoles in this mathematical exploration by Alexey Balitskiy from Luxembourg, presented at IMPA's Systolic and Diastolic Geometry event.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Growth of k-dimensional Systoles in Congruence Coverings

Explore Mikhail Belolipetsky's lecture on growth of k-dimensional systoles in congruence coverings, part of the "Systolic and Diastolic Geometry" event at IMPA examining geometric comparison problems.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - The Toda Lattice and Symplectic Balls

Dive into the mathematical exploration of the Toda lattice and its relationship with symplectic balls in this lecture by Yaron Ostrover from Tel Aviv University, part of the Systolic and Diastolic Geometry event.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Free Curvature Generalizations of Hyperbolic Identities

Explore free curvature generalizations of hyperbolic identities in this mathematical lecture by Florent Balacheff, part of the "Systolic and Diastolic Geometry" event at IMPA focusing on geometric comparison problems.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Half-volume Spectrum and Constant Mean Curvature Hypersurfaces

Delve into the mathematical exploration of half-volume spectrum and constant mean curvature hypersurfaces in this lecture by Xin Zhou from Cornell University, part of the Systolic and Diastolic Geometry event at IMPA.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Viterbo's Inequality and Finsler Systolic Inequalities on RP^n

Dive into Viterbo's inequality and Finsler systolic inequalities on RP^n with Shira Tanny's mathematical exploration of geometric comparison problems between volume and length/area relationships.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Minimal Area of Finsler Disks with Minimizing Geodesics

Delve into the mathematical exploration of minimal area in Finsler disks with minimizing geodesics, presented by Stéphane Sabourau as part of the Systolic and Diastolic Geometry event at IMPA.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Spectral Optimization with Respect to the Metric on Surfaces

Delve into spectral optimization with respect to metrics on surfaces of any topology, exploring geometric problems that compare volume and length/area in mathematical spaces.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Eigenvalues and Minimal Surfaces

Delve into the relationship between eigenvalues and minimal surfaces in systolic and diastolic geometry with Mikhail Karpukhin's mathematical exploration of geometric comparison problems.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Area Rigidity of Minimal Surfaces

Delve into André Neves' lecture on area rigidity of minimal surfaces, part of the "Systolic and Diastolic Geometry" event exploring geometric problems related to volume, length, and area comparisons in mathematical spaces.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Min-max Widths Compared to Other Geometric Invariants

Explore Rafael Montezuma's lecture on min-max widths compared to other geometric invariants, part of the "Systolic and Diastolic Geometry" event at IMPA examining relationships between volume and length/area in geometric spaces.

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

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Capacities of Disc Tangent Bundles of Symmetric R-Spaces

Explore Johanna Bimmermann's lecture on capacities of disc tangent bundles of symmetric R-spaces, part of the Systolic and Diastolic Geometry event at IMPA examining geometric comparison problems.

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

Instituto de Matemática Pura e Aplicada

Systolic Inequalities in Reeb Dynamics

Delve into systolic inequalities in Reeb dynamics with Alberto Abbondandolo, exploring geometric problems that compare volume of spaces with lengths of curves they contain.

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

Instituto de Matemática Pura e Aplicada

Stability of Systolic Inequalities for the Klein Bottle

Explore stability of systolic inequalities for the Klein bottle in this mathematical presentation by Jan Eyll from Ruhr-Universität Bochum, part of the Systolic and Diastolic Geometry conference at IMPA.

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