Tony Feng- A New Approach to Breuil-Mezard Cycles
Explore a novel local and group-theoretic approach to the Breuil-Mezard Conjecture, connecting it to quantum groups and homological mirror symmetry in algebraic number theory.
A Web of Spherical Functors in Toric Birational Geometry
Explore spherical functors in toric birational geometry, expanding on Aspinwall, Plesser and Wang's conjecture. Discover numerical and mirror symmetric evidence in this joint work with Ludmil Katzarkov.
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.
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.
A New Perspective on Exotic Manifolds - Spherical Duality and Torus Links
Explore exotic manifolds through spherical duality and torus links. Discover new perspectives on homotopy spheres, O(3)-actions, and connections to singularity theory and mirror symmetry.
Asymptotics in Hitchin's Moduli Space
Explores asymptotic behavior in Hitchin's moduli space, comparing different notions of ideal points at infinity and examining the extension of the nonabelian Hodge correspondence between partial compactifications.
Commutative Algebra and Algebraic Geometry - 15th ALGA Meeting
Explore mirror symmetry, curve counting, and Landau-Ginzburg models in algebraic geometry. Delve into advanced mathematical concepts with expert insights from Tyler Kelly's ALGA conference talk.
Equivariant Lagrangian Correspondences and Applications
Explore equivariant Lagrangian correspondences and their applications in mathematics, focusing on advanced concepts and theoretical frameworks.
Mirror Symmetry via Floer Theoretic Invariants
Explore generalized Delzant subdomains, relative symplectic cohomology, and mirror symmetry construction using Floer theoretic invariants. Delve into HMS functor and local generation concepts.
Structural Features of 3D Mirror Symmetry
Explore homological 3d mirror symmetry, its equivalences, and applications in toric settings. Uncover connections to hypertoric Koszul duality and Tate's thesis.
The Closed String Mirror Construction
Explore the closed string mirror construction in symplectic geometry, examining its relation to the SYZ conjecture and potential applications in mirror symmetry.
Enumerative Invariants from Categories
Explore enumerative predictions in Mirror Symmetry through categorical approaches, focusing on Gromov-Witten invariants and their analogues in dg or A-infinity Calabi-Yau categories.
Towards 2-Categorical 3D Mirror Symmetry
Explore 2-categorical aspects of 3d mirror symmetry in geometry and representation theory, focusing on boundary conditions in 3d N=4 SUSY QFTs and their connections to hyperkähler geometry.
Equivariant Fukaya Categories at the Singular Value
Explore equivariant Fukaya categories, relating wrapped Fukaya categories of symplectic manifolds with Hamiltonian S^1 actions to their Hamiltonian reductions. Discover new conjectures and examples.
Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry
Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
Open/Closed Correspondence and Mirror Symmetry in Gromov-Witten Theory
Explore open/closed correspondence in Gromov-Witten theory, examining numerical invariants, generating functions, and compatibility with mirror symmetry in toric Calabi-Yau manifolds.
Homological Mirror Symmetry and Quantum Link Invariants
Explore homological mirror symmetry, categorification of quantum link invariants, and new mirror pairs in this advanced mathematical lecture by Mina Aganagic.
Prospects for Spectral Mirror Symmetry
Explore advanced Fukaya categories, spectral ring coefficients, and mirror symmetry in symplectic geometry. Delve into cutting-edge research on generalizing Lagrangian Floer theory.
An Update on SYZ Mirror Symmetry and Family Floer Theory
Explore Strominger-Yau-Zaslow approach to homological mirror symmetry, focusing on Lagrangian torus fibrations and Fukaya-Floer algebra construction for mirror symmetry in complex geometry.
The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces
Explore the KSBA moduli space of stable log Calabi-Yau surfaces, delving into its properties, connections to toric varieties, and recent developments in algebraic geometry and mirror symmetry.
DT Invariants and Holomorphic Curves in Complex Integrable Systems
Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, focusing on mirror symmetry and applications in enumerative geometry.