TRANSVERSE POISSON STRUCTURES TO ADJOINT ORBITS IN A COMPLEX SEMI-SIMPLE LIE ALGEBRA
Explore transverse Poisson structures in complex semi-simple Lie algebras, focusing on adjoint orbits and their nilpotent cases. Discover determinantal formulas and quasihomogeneous polynomials in this advanced mathematical topic.
A Variational Symplectic Scheme Based on Simpson's Quadrature
Explore a variational symplectic scheme utilizing Simpson's quadrature, delving into its mathematical foundations and practical applications in numerical analysis.
Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups
Explore variational integrators for stochastic Hamiltonian systems on Lie groups, gaining insights into advanced mathematical concepts and their applications.
Infinite Dimensional Lagrange-Dirac Mechanics with Boundary Conditions
Explore infinite dimensional Lagrange–Dirac mechanics, focusing on boundary conditions in this advanced mathematical analysis.
Full Set of Invariants Characterizing Sp(n)-Orbits in Real Grassmannians GR(k, 4n)
Explore invariants characterizing Sp(n)-orbits in real Grassmannians GR(k, 4n), focusing on Hermitian quaternionic structures, isoclinic subspaces, and canonical I-decomposition.
The Momentum Mapping of the Affine Real Symplectic Group
Explore the momentum mapping of the affine real symplectic group, delving into its mathematical properties and applications in geometric analysis.
Poisson Geometry of the Statistical Frobenius Manifold
Explore Poisson geometry's application to statistical Frobenius manifolds, delving into advanced mathematical concepts and their intersections.
Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰
Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.
The Spectral Norm, Rigidity and Related Phenomena in Hamiltonian Dynamics
Explore the spectral norm's behavior in Hamiltonian diffeomorphisms, its applications to dynamics, and connections to invariant sets, pseudo-rotations, and rigidity.
Symplectic Capacities of Domains Close to the Ball and Quasi-Invariant Contact
Explore symplectic capacities of domains near balls and quasi-invariant contact forms in this advanced mathematical discussion on symplectic dynamics and Reeb geometry.
Homotopy Rigidity of Nearby Lagrangian Fibers
Explore homotopy rigidity of nearby Lagrangian fibers in this advanced mathematical talk by Yash Deshmukh, delving into complex geometric structures and topological relationships.
Rabinowitz Floer Complex for Lagrangian Cobordisms
Explore Lagrangian cobordisms in symplectization, examining SFT pseudo-holomorphic discs and A_∞ structures. Delve into continuation elements for transverse push-offs.
Tropical Fukaya Algebras
Explore multiple cut operations on symplectic manifolds and their impact on curve count-based invariants, focusing on Fukaya algebras and tropical graph representations.
Symplectic Geometry of the Teichmueller Space of Hyperbolic 0-Metric
Explore symplectic geometry of Teichmueller space for hyperbolic 0-metric, delving into quantisation of moduli spaces from various perspectives.
Nonequilibrium Thermodynamics as a Symplecto-Contact Reduction and Relative Information Entropy
Explore nonequilibrium thermodynamics through symplecto-contact reduction and relative information entropy. Gain insights from Y. G Oh's research at IBS and Postech.
Poincaré Series and Linking of Legendrian Knots
Explore analytic techniques in dynamics and geometry, focusing on Poincaré series and linking of Legendrian knots with G. Rivière.
Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries
Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
Stein and Weinstein Manifolds - An Introduction to Topological and Symplectic Aspects
Explore topological and symplectic aspects of Stein manifolds, including handlebody construction, Weinstein manifolds, and flexibility versus rigidity in complex variables theory.
A Higher Dimensional Generalization of the Birkhoff Attractor
Explore higher-dimensional generalizations of the Birkhoff attractor using spectral metrics for conformal symplectic maps and damped Hamiltonian systems.
Hodge Theory and Lagrangian Fibrations in Holomorphic Symplectic Manifolds
Explore Hodge theory and Lagrangian fibrations in holomorphic symplectic manifolds. Delve into conjectures, isomorphisms, and decomposition theorems in this advanced mathematical discourse.
Chain Level String Bracket and Punctured Holomorphic Discs
Explore Audin's conjecture and its generalization to Liouville manifolds. Discover connections between holomorphic discs and string topology operations, focusing on chain level string brackets.