Homological Mirror Symmetry - Progress in Quantum Toric Geometry
Explore recent developments in quantum toric geometry, moduli spaces of toric varieties, and their conjectural links to birational geometry, drawing from cutting-edge research in the field.
Ernesto Lupercio- Quantum Toric Geometry Pt. II
Explores quantum toric geometry, generalizing toric geometry with moduli spaces. Advanced mathematical concepts for researchers in algebraic topology, geometry, and mathematical physics.
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.
Quantum Toric Geometry and Tame Geometry via Motivic Rings I
Explore the connection between quantum toric manifolds and tame geometry through Hodge number computations of LVM manifolds, providing insights for future research in non-commutative geometry.
Geometry, Statistical Mechanics, and Integrability - IPAM at UCLA Spring 2024 Program
Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.
Spinor-valued Higgs Bundles - Theory and Applications
Explore spinor-valued Higgs bundles with Nigel Hitchin, examining their unique properties and implications for Riemann surface geometry. Gain insights into Dirac equations and vector bundle theory.
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.
Hodge Numbers in Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge numbers in non-algebraic complex manifolds. Discover enriched perspectives in this collaborative research presentation.
Defective Tensor Network Varieties
Explore defective tensor networks and their anomalies in algebraic varieties, focusing on graph structure, dimensions, and unexpected deviations from parameter-based expectations.
Hodge Structures and Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge Theory generalizations in this advanced mathematics colloquium, featuring insights from collaborative research in non-commutative spaces.
Enumerative Geometry and Special Functions - Lecture 2
Explore the intersection of enumerative geometry and special functions, discovering new interpretations and generalizations of historical mathematical concepts in modern research.
Enumerative Geometry and Special Functions - Lecture 1
Explore the interplay between enumerative geometry and special functions, connecting historical mathematical concepts with modern research in geometry and number theory.
Hitchin Systems - An Introduction to Complex Geometric Structures
Explore Hitchin systems with Marina Logares, delving into their mathematical properties and applications in algebraic geometry and theoretical physics.
Spectrum of the Ising Model
Explore the correspondence between Ising models and algebro-geometric data, extending Kenyon and Okounkov's work on dimer models and Harnack curves in this advanced mathematical presentation.
Learning and Optimization over Abstract Non-Manifold Structures: A Case in Biological Data Analysis
Explore optimization techniques for complex biological data structures, focusing on phylogenetic tree inference using maximum likelihood analysis and smooth optimization methods.
Modularity in String Theory and Moonshine - Lecture 3
Explore advanced concepts in string theory, focusing on modularity and moonshine phenomena, with expert insights from Roberto Volpato in this in-depth lecture.
Modularity in String Theory and Moonshine - Lecture 2
Explore advanced concepts in string theory, focusing on modularity and its connections to moonshine phenomena in mathematics and theoretical physics.
4D N=2 Superconformal Field Theories and Families of Hitchin Systems
Explore 4D N=2 Superconformal Field Theories and their connection to Hitchin Systems in this advanced physics lecture by Jacques Distler.
BV-Infinity Quantization of (-1)-Shifted Derived Poisson Manifolds
Explore advanced mathematical concepts in derived geometry, focusing on BV_∞ quantization techniques for (-1)-shifted derived Poisson manifolds with expert Ping Xu.
Kontsevich-Duflo Theorem for Differential Graded Manifolds
Explore the Kontsevich-Duflo theorem's application to differential graded manifolds, delving into advanced mathematical concepts and their implications in this field.
Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.