Algebraization of Low-Dimensional Topology - Part I
Explore algebraic presentations of cobordism categories in low-dimensional topology. Learn about 3- and 4-modular Hopf algebras and their role in classifying TQFTs.
On the Lusternik-Schnirelmann Theory of 4-Manifolds
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.
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.
Math Associates Seminar- Bubbling of Q-Curvature Equation on 4-Manifolds in the Null Case
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.
Diffeomorphism Groups of 4-Manifolds and Embedding Spaces
Explore the intricate relationship between diffeomorphism groups of 4-manifolds and embedding spaces in this advanced topology lecture by Daniel Ruberman.
Bridging the Gap Between Homology Planes and Mazur Manifolds
Explore the connection between homology planes and Mazur manifolds, focusing on Kirby-Ramanujam spheres and their implications in complex surfaces and 4-manifolds.
Symplectic Geometry and Quantization - Blitz Session
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.
Scalar Curvature Rigidity and Extremality in Dimension 4
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.
Geometric Structures Associated to Anosov Representations
Explore geometric structures linked to Anosov representations, focusing on domains of discontinuity and their quotients as smooth fiber bundles over closed hyperbolic manifolds.
Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory
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.
On Exotic Embeddings of Submanifolds in 4-Manifolds
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.
Symmetries of 4-Manifolds - Part 1
Explore symmetries of 4-manifolds with Mark Powell from University of Glasgow, delving into advanced mathematical concepts and their applications.
Detecting Corks Using Heegaard Floer Homology
Explore Heegaard Floer homology's role in detecting corks and discover new examples addressing Gompf's question in 4-manifold exotic smooth structures.
Symmetries of 4-Manifolds - Part 2
Explore advanced concepts in 4-manifold symmetries, building on previous knowledge and delving into complex mathematical theories.
Algebraization of Low-Dimensional Topology - Part II
Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
Pseudo-Isotopy and Diffeomorphisms of 4-Manifolds
Explore recent advancements in pseudo-isotopy theory and its applications to studying diffeomorphisms of 4-manifolds with David Gabai.