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#4-Manifolds

Showing: 16 courses
Centre de recherches mathématiques - CRM

Algebraization of Low-Dimensional Topology - Part I

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Explore algebraic presentations of cobordism categories in low-dimensional topology. Learn about 3- and 4-modular Hopf algebras and their role in classifying TQFTs.
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1 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

On the Lusternik-Schnirelmann Theory of 4-Manifolds

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Explore Lusternik-Schnirelmann category in 4-manifolds, focusing on covers, fillings, and Gay-Kirby trisections. Gain insights into decompositions of 4-manifolds into 1-handlebodies.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Danny Ruberman- Diffeomorphism Groups of 4-Manifolds

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Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ICTP Mathematics

Math Associates Seminar- Bubbling of Q-Curvature Equation on 4-Manifolds in the Null Case

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Explore the Q-curvature equation on 4-manifolds, focusing on solution behavior as ε approaches zero. Gain insights into the Paneitz operator and sign-changing functions in mathematical analysis.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Diffeomorphism Groups of 4-Manifolds and Embedding Spaces

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Explore the intricate relationship between diffeomorphism groups of 4-manifolds and embedding spaces in this advanced topology lecture by Daniel Ruberman.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Bridging the Gap Between Homology Planes and Mazur Manifolds

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Explore the connection between homology planes and Mazur manifolds, focusing on Kirby-Ramanujam spheres and their implications in complex surfaces and 4-manifolds.
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1 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Symplectic Geometry and Quantization - Blitz Session

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Explore advanced topics in symplectic geometry and quantization through four concise talks on stratified quantization, complex Lagrangian Grassmannians, integral Chang-Skjelbred computations, and symplectic circle actions.
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4 Lesons
42 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Scalar Curvature Rigidity and Extremality in Dimension 4

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Explore scalar curvature rigidity in 4D using Finsler-Thorpe trick and twisted spinor methods. Discover area-extremal properties of 4-manifolds with nonnegative sectional curvature.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometric Structures Associated to Anosov Representations

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Explore geometric structures linked to Anosov representations, focusing on domains of discontinuity and their quotients as smooth fiber bundles over closed hyperbolic manifolds.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory

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Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology and complex Chern-Simons theory.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Stony Brook Mathematics

On Exotic Embeddings of Submanifolds in 4-Manifolds

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Explore exotic embeddings of submanifolds in 4-manifolds, focusing on phenomena that survive stabilizations. Delve into advanced 4-dimensional topology concepts and recent research findings.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Banach Center

Symmetries of 4-Manifolds - Part 1

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Explore symmetries of 4-manifolds with Mark Powell from University of Glasgow, delving into advanced mathematical concepts and their applications.
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1 Lesons
45 minutes
On-Demand
Free-Video
Banach Center

Detecting Corks Using Heegaard Floer Homology

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Explore Heegaard Floer homology's role in detecting corks and discover new examples addressing Gompf's question in 4-manifold exotic smooth structures.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Banach Center

Symmetries of 4-Manifolds - Part 2

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Explore advanced concepts in 4-manifold symmetries, building on previous knowledge and delving into complex mathematical theories.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Algebraization of Low-Dimensional Topology - Part II

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Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
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1 Lesons
49 minutes
On-Demand
Free-Video
BIMSA

Pseudo-Isotopy and Diffeomorphisms of 4-Manifolds

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Explore recent advancements in pseudo-isotopy theory and its applications to studying diffeomorphisms of 4-manifolds with David Gabai.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video