Smooth Closing Lemma for Area-Preserving Diffeomorphisms of Surfaces
Explore the smooth closing lemma for area-preserving diffeomorphisms on surfaces, featuring a proof based on Weyl formula and Seiberg-Witten Floer homology. Joint work with Cristofaro-Gardiner and Prasad.
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.
Nearly Parallel G2-Structures on 7-Manifolds - Associative 3-Folds in Aloff-Wallach Spaces
Explore nearly parallel G2-structures on 7-manifolds, focusing on Aloff-Wallach spaces and Sasaki-Einstein manifolds. Learn about associative 3-folds and their construction in these spaces.
Coassociative Fibrations in G2 Geometry
Explore G2 geometry in 7D spaces, focusing on coassociative submanifolds. Learn about their properties, deformation theory, and constructions forming fibrations with singular fibers in 7-manifolds.
Tight Contact Structures on Hyperbolic 3-Manifolds - IMSA Topology Seminar
Exploring tight contact structures on hyperbolic 3-manifolds via Dehn surgery on genus one fibered knots in lens spaces, with insights on classification and Stein fillability.
Quasipositive Surfaces and Decomposable Lagrangians in Topology - IMSA Seminar
Explore Legendrian links, knot Floer homology, and Lagrangian link cobordisms in topology. Learn about braiding techniques and the comultiplication property in this advanced mathematical seminar.
Linearized Instability for Neutral Functional Differential Equations with State-Dependent Delays
Lecture on linearized instability for neutral functional differential equations with state-dependent delays, presenting recent research findings in advanced mathematics.
An Introduction to Delay Differential Equations - Motivation and Applications
Explore delay differential equations, their applications, and open problems in this insightful lecture by Jacqueline Godoy Mesquita, offering a comprehensive introduction to this mathematical field.
Andras Szenes- Intersection Cohomology of the Moduli Spaces of Stable Bundle II
Exploration of intersection cohomology in moduli spaces of semistable bundles on Riemann surfaces, featuring new formulas for intersection Betti numbers and geometric insights.
Intersection Cohomology of the Moduli Spaces of Stable Bundle I
Explore intersection cohomology of semistable bundle moduli spaces on Riemann surfaces, including Decomposition Theorem analysis and new formula for intersection Betti numbers.
Symmetric Unions and Ribbon Knots
Explore symmetric unions in knot theory, focusing on ribbon knots. Learn about classification, composite types, and infinite families of ribbon knots that defy simple symmetric union diagrams.
Generalized Calabi-Yau Problem
Explore advanced concepts in generalized complex geometry, focusing on holomorphically trivial generalized canonical bundles, Calabi-Yau structures, and the current status of the Calabi-Yau problem.
Generalized Kaehler and Bihermitian Structures
Explore generalized Kaehler structures, their properties, and similarities to Kaehler case. Covers stability under deformations, Calabi-Yau problem, and period map in complex geometry.
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.
Functions on Commuting Stacks via Mirror Symmetry
Explores complex reductive groups, commuting stacks, and G-local systems on tori. Utilizes mirror symmetry and Betti geometric Langlands to calculate global functions on commuting stacks.
A Splitting Formula for Punctured Gromov-Witten Invariants
Explore punctured Gromov-Witten theory and its role in mirror symmetry. Learn about a new formula for reconstructing invariants, generalizing Jun Li's degeneration formula.