Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture
Explore the concept of Lagrangian realization in tropical geometry through this M-Seminar talk by Jeff Hicks from the University of Edinburgh. Delve into the relationship between tropical curves in the base of a Lagrangian torus fibration and their corre…
Tropical Functions on Skeletons
Explore tropical functions on skeletons in valued fields with Antoine Ducros' insightful mathematical conference talk from CIRM's Audiovisual Mathematics Library.
Complex Dynamics in the Tropics - Structures on 2- and 3-Manifolds Coming from Dynamical Systems
Explore complex dynamics in the tropics, focusing on structures in 2- and 3-manifolds derived from dynamical systems. Gain insights into multimodal maps, hyperbolic groups, and related mathematical concepts.
Commutative Algebra and Algebraic Geometry - 15th ALGA Meeting
Explore geometric methods and tropical geometry in algebraic curves, focusing on Abel maps and Jacobians. Compare algebraic and tropical approaches for deeper mathematical insights.
Tropical Vector Bundles and Matroids
Delve into advanced geometric concepts exploring toric vector bundles, matroids, and their tropical counterparts through classification, equivariant K-theory, and characteristic classes.
Cohomologically Tropical Varieties and Mixed Hodge Structures
Delve into advanced geometric concepts exploring tropicalizations of torus subvarieties, focusing on Poincaré duality and mixed Hodge structures in relation to hyperplane arrangements.
Tropicalizing Principal Minors of Positive Definite Matrices
Delve into advanced mathematical concepts exploring tropicalization of principal minors, M-concave functions, and their relationship with tropical Grassmannian and Flag varieties.
Face Structures of Tropical Polyhedra
Explore tropical polyhedra's face structures, focusing on monomial tropical polyhedra to overcome issues in classical definitions and investigate combinatorial properties.
Enumerative Geometry and the Quantum Torus
Explore enumerative geometry through tropical curves, pseudotropical curves, and their connection to Lie algebras and quantum torus. Discover innovative approaches to classical counting problems in algebraic geometry.
A Tropical Approach to Homological Mirror Symmetry of Quadrics
Tropical geometry approach to homological mirror symmetry of quadrics, exploring new anti-canonical divisor and potential construction. Compares with previous work and discusses exceptional collections.
Birational Geometry of Moduli Spaces via the Essential Skeleton
Explore the essential skeleton in birational geometry, linking it to tropical geometry and moduli spaces, with a focus on $\mathcal{M}_{0,n}$ and potential applications to hyperplane arrangements.
The Positive Grassmannian, the Amplituhedron, and Cluster Algebras
Explore the positive Grassmannian and amplituhedron, delving into their combinatorial structures and connections to physics, integrable systems, and scattering amplitudes using oriented matroids, tropical geometry, and cluster algebras.
Tropical Geometry of Phylogenetic Tree Spaces
Explore tropical geometry's application to phylogenetic tree spaces, examining BHV space, tropical Grassmannians, and their implications for computational biology and statistics.
Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety
Explore Kirchhoff's theorem, metric graphs, and tropical Prym varieties. Delve into divisors, Jacobians, and double covers, gaining insights into advanced algebraic geometry concepts.
Tropical Prym Varieties
Explore tropical geometry, divisors, chip firing, and Jacobians. Learn about double covers, induced maps, and generic curves in relation to Prym varieties.
The Tropical Limit of String Theory and Feynman Integrals
Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
Geometry of Tropical Varieties with Applications - Lecture 3
Explore advanced concepts in tropical geometry, including fans, fanfolds, and tropical modifications. Learn about operations, constructions, and theorems applicable to tropical varieties and their geometric properties.
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.
Top Weight Cohomology of M_g
Explore the top-graded weight filtration on open moduli spaces, with applications to exponential growth in H^{4g-6}(M_g, Q) dimensions, disproving previous conjectures.
Tropical Analog of the Hodge Conjecture for Smooth Algebraic Varieties Over Trivially Valued Fields
Explore tropical geometry's approach to cycle class maps, focusing on a proof of the Hodge conjecture's tropical analog for smooth algebraic varieties over trivially valued fields.
Tropical Geometry & Artificial Life
Explore self-organized criticality in artificial life models through tropical geometry, examining its applications and implications for understanding complex systems.