Fillable Contact Structures From Positive Surgery
Exploring conditions for fillable contact structures from positive surgery on Legendrian knots, with applications to topological consequences and lens space surgeries.
Rational Slice Genus Bounds from Knot Floer Homology
Exploring rational slice genus of knots using relative adjunction inequalities and knot Floer homology, with applications to Floer simple knots and insights from 4-dimensional topology.
PL-Surfaces in Homology 4-Balls
Exploration of PL-surfaces in homology 4-balls, discussing minimum genus of PL surfaces and their bounds in homology balls using Heegaard Floer homology. Joint research findings presented.
Equivariant Rokhlin, Eta, and Kappa Invariants of Seifert-Fibered Homology Spheres
Explore equivariant Rokhlin, eta, and kappa invariants of Seifert-fibered homology spheres in this advanced topology talk, delving into gauge theory applications and low-dimensional manifold properties.
Characterizing Slopes for Alternating Knots
Exploration des pentes caractérisantes pour les nœuds alternés, examinant leur unicité lors de chirurgies rationnelles et discutant des progrès récents dans ce domaine de la topologie.
Four-Genus Bounds from the 10/8+4 Theorem
Explore knot slicing obstructions and four-ball genus bounds using the 10/8+4 theorem. Learn about advanced techniques in gauge theory and low-dimensional topology.
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.
Complex Surfaces with P_g=Q=0 via Birational Geometry, Derived Category and Gauge Theory
Exploration of complex surfaces with p_g=q=0, examining their significance and recent developments through birational geometry, derived category, and gauge theory perspectives.
Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry II
Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.
Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry I
Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.
Quasi-Crystals, Fractals, and Other Beauties by Cristiane Morais Smith
Explore quasi-crystals, fractals, and related mathematical structures in this lecture by Cristiane Morais Smith, delving into their fascinating properties and applications in physics and beyond.
Asymptotics in Hitchin's Moduli Space
Explores asymptotic behavior in Hitchin's moduli space, comparing different notions of ideal points at infinity and examining the extension of the nonabelian Hodge correspondence between partial compactifications.
Introduction to Chern Simons Theory and Topology
Explore Chern Simons Theory and its connections to topology with renowned physicist Edward Witten in this advanced workshop on quantum information and physics.
Some Reflections on the Moduli Spaces of Flat Connections with Involutions
Explore moduli spaces of flat connections with involutions, examining their geometric properties and mathematical implications in this advanced mathematical lecture.
Integrability in Gauge and String Theory - Uniform Transcendentality and Correlation Functions in N=4 SYM
Explore uniform transcendentality and correlation functions in N=4 SYM, delving into advanced concepts in gauge and string theory.
Integrability of Open^2 Quantum Circuits
Explore integrability of open^2 quantum circuits with Chiara Paletta, delving into advanced concepts in gauge and string theory.
Integrability in Gauge and String Theory - New Approach to Strongly Coupled N=4 SYM via Integrability
Explore a novel approach to strongly coupled N=4 supersymmetric Yang-Mills theory using integrability techniques in gauge and string theory.
Integrability and AdS/CFT - Class 3
Explore advanced concepts in integrability and AdS/CFT correspondence with expert Konstantin Zarembo in this in-depth lecture from the Holography@25 School.
Integrability and AdS/CFT - Class 4
Explore advanced concepts in integrability and AdS/CFT correspondence with expert Konstantin Zarembo in this final lecture of the series.
Integrability and AdS/CFT - Class 1
Explore integrability and AdS/CFT correspondence in this advanced physics lecture, part of a series on holography and string theory.
Noncommutative U(1) Gauge Theory in the Semiclassical Limit
Explore U(1) gauge theory on Poisson manifolds as a semiclassical limit of noncommutative spacetimes. Examine gauge potentials, transformations, and symplectic realizations in Poisson electrodynamics.