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.
Finite Approximations as a Tool for Studying Triangulated Categories
Explore finite approximations in triangulated categories, covering metrics, Fourier series, and surprising new results with applications in algebraic geometry and category theory.
Drinfeld Center, Tube Algebra, and Representation Theory of Monoidal Categories
Explore connections between category theory, subfactor theory, and quantum groups. Learn about Drinfeld center, tube algebra, and representation theory of monoidal categories.
Sylvie Paycha: Re-Expansion Maps as Direct Connections
Explore re-expansion maps in groupoids, their connection to regularity structures, and interpretation as "gaugeoid fields" in gauge groupoids. Generalization to jet bundles in polynomial regularity structures.
Iva Halacheva - The Cactus Group, Crystals, and Perverse Equivalences
Exploring connections between cactus groups, crystals, and perverse equivalences in categorical actions of semisimple Lie algebras, focusing on Rickard complexes and their implications for derived categories.
Introduction to Fukaya Categories - James Pascaleff
Explore symplectic geometry fundamentals for Fukaya categories, covering symplectic manifolds, Lagrangian submanifolds, exactness conditions, and more in this comprehensive lecture.
Representations of Acyclic Quivers and Auslander-Reiten Sequences - Lecture 1
Explore representations of acyclic quivers, Auslander-Reiten sequences, and the Caldero-Chapoton formula in this advanced mathematics lecture on cluster algebras and quiver representations.
Comparative Stability of Two Zigzag Bottleneck Distances
Explores zigzag persistence in algebraic topology, comparing bottleneck distances for zigzag modules. Analyzes similarities and differences between approaches, focusing on Auslander-Reiten quiver perspective.
Holomorphic Floer Theory, Quantum Wave Functions and Resurgence
Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.
Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves
Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.
Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces
Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.
Mirrors of Curves and Their Fukaya Categories II
Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpl éctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.
Mirrors of Curves and Their Fukaya Categories I
Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.
Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces
Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.
Homological Mirror Symmetry - Yan Soibelman
Explore holomorphic Floer theory, wall-crossing structures, and their connections to Chern-Simons theory. Discover the interplay between complex symplectic geometry and quantum field theory in this advanced mathematics lecture.
On the Fukaya Categories
Explore Fukaya categories in symplectic geometry with Mohammed Abouzaid from Columbia University, delving into advanced mathematical concepts and their applications.
Structural Aspects of Fukaya Categories of LG Models
Explore Fukaya categories of Landau-Ginzburg models, monodromy, and related functors in this expository talk, covering work by Abouzaid-Seidel, Hanlon, Sylvan, Jeffs, and others.
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.
Intermediate Jacobians of Gushel-Mukai Varieties
Explore intermediate Jacobians of Gushel--Mukai varieties, focusing on threefolds and fivefolds. Discover their connection to Albanese varieties of double EPW surfaces and related birational and categorical aspects.
Finite-Dimensional DG Algebras and Their Properties
Explore finite-dimensional DG algebras, perfect complexes, and their role in noncommutative schemes. Discover connections to DG categories with (semi)exceptional collections.
Generation in Characteristic P
Explore techniques for constructing generators in derived categories in nonzero characteristic, including joint research findings on this advanced mathematical topic.