IMSA Courses

Mapping Spaces and E_2 Algebras

Explore mapping spaces, spectral sequences, and E_2 algebras in topology. Discover connections between configuration spaces, cochains, and factorization homology in this advanced mathematical lecture.

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

Danny Ruberman- Diffeomorphism Groups of 4-Manifolds

Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.

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

Low Dimensional Topology and Circle-Valued Morse Functions

Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

Low Dimensional Topology and Circle-Valued Morse Functions

Explore Morse normal form for branched surfaces and its application in constructing taut foliations, building on Charles Delman's work. Gain insights into advanced topics in low-dimensional topology.

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

Low Dimensional Topology & Circle-valued Morse Functions

Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.

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

Low Dimensional Topology and Circle-valued Morse Functions

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Conference Talk

Low Dimensional Topology and Circle-valued Morse Functions

Explore taut foliations in 3-manifolds with Heegaard genus two, examining the connection between left-orderable fundamental groups and co-orientable taut foliations in closed, orientable, irreducible 3-manifolds.

• YouTube
• 1 hour
• On-Demand
• Conference Talk

Low Dimensional Topology and Circle-valued Morse Functions

Explore the Margulis constant in hyperbolic geometry, its significance, and ongoing research to determine its precise value through computational methods and theoretical analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Conference Talk

Holomorphic Lagrangian Foliation and Gaiotto's Conformal Limit

Explore holomorphic Lagrangian foliation and Gaiotto's conformal limit in this advanced mathematics lecture by UC Davis professor Motohico Mulase.

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

Mathematical Modeling of Pandemics, COVID-19, and Social Consequences Across the Americas

Explore mathematical modeling of pandemics, focusing on COVID-19's impact and social consequences in the Americas with experts from University of Miami and Princeton University.

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

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

Quantum Toric Geometry I

Explore the fascinating world of Quantum Toric Geometry, a generalization of Classical Toric Geometry using quantum tori, and its implications for constructing moduli spaces of toric varieties.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Mirror Symmetry and Cluster Varieties

Explore symplectic geometry of cluster varieties and their applications to mirror symmetry, including homological mirror symmetry for Gross-Hacking-Keel cluster varieties.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

A Construction of Apéry Constants from Landau Ginzberg Models

Explores construction of Apéry constants from Landau-Ginzberg models, linking quantum differential equations of Fano threefolds to mirror symmetry and geometric higher normal functions.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Topological Recursion for Masur-Veech Volumes

Explore geometric recursion's impact on multicurve length statistics and Masur-Veech volumes in moduli spaces of quadratic differentials, based on collaborative research findings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video