Isotropic Killing Vector Fields and Related Structures on Complex Surfaces
Exploration of isotropic Killing vector fields on complex surfaces, examining integrable structures, topology, and geometric properties in 4-dimensional manifolds with split-signature metrics.
Generalized Logarithmic Transformation in Exotic Spheres and Homotopy Hopf Manifolds
Explore generalized logarithmic transformations in topology, including $\star$-diagrams, spherical T-duality, and applications to exotic spheres and homotopy Hopf manifolds.
Spherical T-Duality Meets Exotic Spheres and Homotopy Hopf Manifolds
Explore spherical T-duality, its relation to 7-dimensional homotopy spheres, and implications for complex structures on exotic manifolds in this advanced mathematical discussion.
A Formula for the Circumference of an Ellipse
Explore the mathematical derivation of an approximate formula for calculating the circumference of an ellipse, including its historical context and practical applications.
Cohomological Donaldson-Thomas Invariants of 3-Manifolds - Part 2
Explore Morse homology of complex Chern-Simons functional, its connections to supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.
A Web of Spherical Functors in Toric Birational Geometry
Explore spherical functors in toric birational geometry, expanding on Aspinwall, Plesser and Wang's conjecture. Discover numerical and mirror symmetric evidence in this joint work with Ludmil Katzarkov.
Josef Svoboda, University of Miami - Q-Series Invariants and Abelian Covers
Explore q-series invariants of plumbed 3-manifolds, examining their behavior under abelian covers and deriving formulas for Seifert manifolds, with applications to vanishing results.
Equivariant Genera, Spectrum of Isolated Singularities & Hybrid Models
Explore equivariant genera, singularity spectra, and hybrid models in algebraic geometry. Delve into GIT quotients, McKay correspondence, and LG/CY correspondence for weighted projective spaces.
The Langlands Program
Explore the Langlands Program, a grand unified theory of mathematics, with Professor Edward Frenkel. Discover connections between different mathematical fields and their profound implications.
Finding the 2319th Digit of 1000 Factorial
Explore a fascinating mathematical problem: determining a specific digit in the factorial of 1000, using advanced number theory and logarithmic techniques.
Tangent Groupoid in Noncommutative Geometry - Lecture 5
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Distributed Graph Techniques in the MPC Model
Explore advanced distributed graph algorithms in the Massively Parallel Computation model, focusing on efficiency and scalability for large-scale data processing.
Numerical Modelling of Earthquake Ground Motion
Explore advanced discontinuous Galerkin methods for modeling seismic wave propagation in complex geological domains, addressing challenges in geometry representation and solution accuracy.
Seminar in the Analysis and Methods of PDE - Christopher K.R.T. Jones
Explore stability indices for nonlinear waves and patterns in PDEs, focusing on Evans Function and Maslov Index approaches, their geometric interpretations, and recent advancements in complex problem analysis.
Stability and Lifting Properties for C*-Algebras and Groups - Lecture 1
Explore stability and lifting properties in C*-algebras and groups, focusing on advanced mathematical concepts and their applications in operator theory.
Bundles vs Cosheaves
Explore the relationship between bundles and cosheaves in operator algebras, focusing on their applications in group actions and mathematical structures.
Poincaré Duality of Self-Similar Actions
Explore Poincaré duality in self-similar actions, examining its applications in operator algebras and group theory with insights from Mike Whittaker of the University of Glasgow.
Classification of Embeddings for a Family of Property T Group Factors
Explore the classification of embeddings for property (T) group factors, delving into advanced operator algebra concepts and their applications in group theory.
The Strange Utility of This Mutant Matrix
Explore the unexpected applications and properties of an unusual matrix, uncovering its unique characteristics and potential uses in mathematical problem-solving.
Tensor Category Equivariant Z-Stability
Explore tensor category equivariant Z-stability in operator algebras, focusing on advanced mathematical concepts and their applications in this specialized field.
Infinitesimal Operators - Part II
Explore advanced concepts in operator algebra with James Mingo's in-depth lecture on infinitesimal operators, building upon previous discussions in this specialized seminar series.