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.
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.
Homological Mirror Symmetry - Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future research and collaboration in this mathematical field.
Rouquier Dimension Equals Krull Dimension for Toric Varieties
Explore the equality of Rouquier and Krull dimensions for toric varieties, delving into homological mirror symmetry and a multi-graded version of Hilbert's syzygy theorem.
Brill-Noether Reconstruction for Fano Threefolds and Applications
Explore Brill-Noether reconstruction for Fano threefolds, focusing on Kuznetsov components and Bridgeland moduli spaces. Learn about applications in categorical Torelli theorems and auto-equivalences.
Unavoidable Mathematics - Exploring Derived Concepts from Simple Theories
Exploring fundamental mathematical concepts that arise naturally from simple theories, revealing unexpected connections and rich structures in algebra, category theory, and computer science.
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 mathematics.
Homological Mirror Symmetry - Recent Developments and Future Directions
Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions in this mathematical field. Honors Jeffrey Fuqua's contributions to the subject.
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.
Dialectica Categories for All
Explore dialectica categories and their applications in logic, mathematics, and computer science with expert Valeria de Paiva in this insightful talk.
Combinatorial Approach to Categorical Möbius Inversion and Magnitude
Explore categorical Möbius inversion and magnitude through a combinatorial lens, uncovering new interpretations of Möbius coefficients and their implications for magnitude homology.
How to Enhance Categories and Why - Localization and Homotopical Enhancement
Exploring alternative techniques for enhancing localized categories using Grothendieck's derivator concept, offering a conceptually clearer approach than infinity-categories or quasicategories.
Milnor Spheres - 60 Years Later
Explore Milnor Spheres through a category theory lens, examining recent findings and insights in this seminar on classical differential topology by Ludmil Katzarkov.
Support Varieties and the Tensor Product Property - Lecture
Explore support varieties in representation theory, focusing on tensor product properties and indecomposable periodic objects. Discover applications in finite groups and tensor categories.
Induced Functors on Drinfeld Centers via Monoidal Adjunctions
Explore induced functors on Drinfeld centers through monoidal adjunctions, examining their compatibility with braiding and preservation of commutative objects in tensor categories.
Chinese Remainder Theorem and Carlson's Theorem for Monoidal Triangulated Categories
Explore Carlson's connectedness theorem generalization for monoidal triangulated categories, including a Chinese remainder theorem version and Balmer support properties.
Vector Delannoy Categories and Further Developments
Exploration of quantum analogues of Delannoy categories, focusing on constructions, properties, and connections to related mathematical concepts in symmetric tensor categories.
Pre-Galois Categories and Discrete Categories - Lecture on Symmetric Tensor Categories
Exploration of symmetric tensor categories, oligomorphic groups, and their connections, with insights into potential classification methods in representation theory.
Oligomorphic Groups and Tensor Categories
Explore oligomorphic groups and tensor categories, focusing on joint work attaching symmetric tensor categories to oligomorphic groups with measures, leading to new and interesting mathematical discoveries.
The Delannoy Category - Symmetric Tensor Categories and Representation Theory
Explore the Delannoy Category in symmetric tensor theory, featuring classification of simple objects, tensor product rules, and a combinatorial model using Delannoy paths.
A Braided Monoidal 2-Category via Soergel Bimodules
Explore braided monoidal 2-categories through Soergel bimodules, examining quantum group representations and categorification in relation to Hecke algebras and quantum link invariants.