Hodge Structures in 8-Dimensional Homotopy Hopf Manifolds
Explore Hodge structures on 8-dimensional homotopy Hopf manifolds, examining connections between these structures and K3 surfaces, with implications for Homological Mirror Symmetry.
Geometry of the South
Explore the intricacies of Southern geometry in this engaging lecture, delving into mathematical concepts unique to the region's landscape and cultural influences.
The KSBA Moduli Space of Log Calabi-Yau Surfaces - Part 1
Explore the KSBA moduli space of log Calabi-Yau surfaces, delving into its properties, conjectures, and recent developments in algebraic geometry and mirror symmetry.
Probabilistic Methods in Hyperbolic Geometry
Explore probabilistic approaches to solve geometric and topological questions in hyperbolic manifolds, bridging mathematics domains through innovative analytical techniques.
Local Uniqueness Results for Centroid Bodies
Explore local uniqueness of centroid bodies through hyperplane conditions, examining volume, area, inertia, and distance properties to determine if specific combinations imply a Euclidean ball shape.
Introduction to Discrete Integrable Systems - Part 2
Explore fundamental concepts of discrete integrable systems in differential geometry, focusing on applications in statistical mechanics and geometric structures.
Effective Topological Complexity and Effective Lusternik-Schnirelmann Category
Exploring effective topological complexity and Lusternik-Schnirelmann category in motion planning, focusing on symmetries in configuration spaces and their impact on problem complexity.
Holomorphic Discs of Negative Maslov Index and Extended Deformations in Mirror Symmetry
Explore holomorphic discs of negative Maslov index and their impact on mirror symmetry, focusing on extended deformations of Landau-Ginzburg models and family Floer theory in complex geometry.
Extremizers in Fenchel and Bezout-Type Inequalities
Exploration of affine invariant ratios in mixed volumes, focusing on minimizers and maximizers in Fenchel and Bezout-type inequalities. Discusses open problems and characterizations of geometric shapes.
Pierre Calka- Close-Up on Random Convex Hulls
Explore random convex hulls, Hausdorff distance, and asymptotic expansions in this mathematical talk on geometric probability and stochastic geometry.
Homological Mirror Symmetry: Recent Developments and Future Directions
Explore recent developments in Homological Mirror Symmetry with Constantin Teleman. Survey new results and discover potential directions for future research and collaboration.
Fourier Analysis of Equivariant Quantum Cohomology II - 1-27-2024
Explore advanced concepts in Fourier analysis and equivariant quantum cohomology, building on previous research in homological mirror symmetry and mathematical physics.
Homological Mirror Symmetry - Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative field of mathematics.
Homological Mirror Symmetry - Recent Developments and Future Directions
Explores recent developments in Homological Mirror Symmetry, surveying new results and opening directions for future research in this mathematical field.
Geometry in Everyday Life - Past, Present, and Future
Explore the past, present, and future of geometry with Yang-Hui He and Madeleine Hall. Discover how geometric principles shape our world, from ancient postulates to modern applications in nature and science.
Simplicial Complexes and Face Rings - January 29, 2024
Explore simplicial complexes and face rings, including stars and links, and their correspondence in Stanley-Reisner rings. Gain insights into fundamental concepts of algebraic topology.
Dispatches from the Ends of the Stability Manifold - Part II
Explores noncommutative minimal model program, stability manifolds, and multi-scale decompositions in triangulated categories. Discusses augmented stability conditions and their potential implications for moduli spaces.
Limit Theorems for the Volumes of Small Codimensional Random Sections of Lpn-Balls
Explore central limit theorems for volumes of random sections in high-dimensional geometry, with insights on open questions and recent research developments.
Combinatorial Geometry Workshop - Lecture by Dasha Poliakova
Explore combinatorial geometry in this workshop, delving into advanced concepts and techniques with expert guidance from Dasha Poliakova of SDU Denmark.
Anisotropy, Biased Pairings and the Lefschetz Property - January 30, 2024
Explore anisotropy in face rings of simplicial spheres, biased pairing property, and Hall-Laman relations. Discover their connections to the Lefschetz property in advanced mathematics.
The Aleksandrov Projection Theorem for Convex Lattice Polygons
Explore the discrete analogue of Aleksandrov's projection theorem for convex lattice polygons, examining counterexamples and their implications in Z^2.