Towards a Mathematical Theory of 3D Mirror Symmetry
Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.
Mirror Structure Constants via Non-Archimedean Analytic Disks
Explore mirror structure constants for smooth affine log Calabi-Yau varieties using non-archimedean analytic disks, generalizing previous constructions and discussing positivity, integrality, and potential extensions.
Spherical Functions and Mirror Symmetry
Explore spherical functions and mirror symmetry in mathematics, bridging quantum physics and the Langlands Program through innovative interdisciplinary approaches.
Recent Progress on Gamma Conjectures - ICBS 2024
Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
Functoriality for Fukaya Categories of Very Affine Hypersurfaces
Explore functoriality in Fukaya categories of very affine hypersurfaces, examining acceleration and restriction functors, gluings of Liouville sectors, and connections to mirror symmetry.
Mirror Symmetry for Hyperkahler Manifolds
Explore mirror symmetry in hyperkähler manifolds, delving into complex geometric structures and their dual counterparts in string theory.
Introduction to P=W and Mirror Symmetry
Explore topological mirror symmetry, character varieties, and the P=W conjecture in relation to Higgs bundle moduli spaces and Hitchin systems in this advanced mathematics lecture.
Deformed Hermitian Yang-Mills Equation on Rational Homogeneous Varieties
Explore the deformed Hermitian Yang-Mills equation on rational homogeneous varieties, its solutions, and algebraic obstructions to supercritical solutions using central charges defined by analytic subvarieties.
Mirror Symmetry and Big Algebras in the Hitchin System
Explore mirror symmetry, Hitchin systems, and algebraic structures in representation theory. Discover connections between equivariant cohomology, Kirillov algebras, and affine Schubert varieties.
Quantum Modularity and Fermionic Spectral Traces on Local P2
Explore quantum modularity and fermionic spectral traces on local P2, delving into advanced mathematical concepts and their applications in theoretical physics.
Motives of the Hitchin System
Delve into advanced algebraic geometry exploring the Hitchin system's topology, examining symmetries through algebraic cycles, Fourier-Mukai duality, and Springer theory applications.
Degeneration, Geometry and Duality in String Theory
Explore generalised T-dualities in string theory, focusing on type I' and IIA duality, SYZ interpretation of mirror symmetry, and geometric duals of strong-coupling phenomena.
Open Mirror Symmetry for Landau-Ginzburg Models
Delve into mirror symmetry fundamentals, exploring Saito-Givental's theory and its mirror dual through FJRW theory, with applications to Landau-Ginzburg models.