Commutative Algebra and Algebraic Geometry - 15th ALGA
Explore advanced topics in Commutative Algebra and Algebraic Geometry with Sebastian Lucas Velazquez at the 15th ALGA conference, featuring cutting-edge research and discussions in mathematics.
Parabolic Multiplicative Affine Springer Fibers
Explore parabolic multiplicative affine Springer fibers in algebraic geometry, examining their properties and applications in advanced mathematical research.
Singularities of Constructible Sheaves
Explore advanced mathematical concepts in constructible sheaves and their singularities, delving into complex algebraic geometry and topology.
The Orlik-Terao Algebra and a Surprising Duality
Explore the Orlik-Terao algebra and uncover a surprising duality in mathematics with insights from postdoctoral research.
Birational and Singularity Invariants from Non-Commutative Hodge Theory
Explore new additive invariants of smooth projective varieties called Hodge atoms, their applications to birational equivalence, and novel singularity invariants in algebraic geometry.
Motivic Invariants of Moduli of Irregular Parabolic Higgs Bundles and Bundles
Explore motivic integration and its application to Donaldson-Thomas invariants in moduli stacks of semistable irregular parabolic Higgs bundles and connections on projective curves.
Some Applications of Non-Abelian Hodge Theory
Explore applications of non-abelian Hodge theory in studying meromorphic flat bundles and holonomic D-modules, including Barannikov-Kontsevich theorem and irregular Hodge filtration.
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.
Exponential Volumes in Geometry and Representation Theory
Explore exponential volumes in geometry and representation theory, focusing on moduli spaces, hyperbolic structures, and Lie groups. Discover connections to Mirzakhani's recursions and Whittaker functions.
Geometry from Donaldson-Thomas Invariants
Explore geometric structures in stability conditions using DT invariants of CY3 triangulated categories, focusing on hyperkähler structures and complexified Hitchin systems.
Periodic Pencils of Flat Connections and Their p-Curvature
Explore periodic pencils of flat connections, their properties, examples, and p-curvature in characteristic p. Learn about isospectral operators and applications to various mathematical connections.
Shimurian Analogs of Barsotti-Tate Groups
Explore Grothendieck's n-truncated Barsotti-Tate groups and their modulo p reductions. Discover conjectures on Shimura varieties and modern Dieudonné theory developments.
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.
Moduli Spaces of Points on the Projective Line and Other Varieties with Many Symmetries
Explore equivariant birational geometry through recent results and constructions presented by Yuri Tschinkel from SCGP & NYU.
Bowditch Representations and Dynamics on Character Varieties - Part 1
Explore Bowditch representations and their dynamic impact on character varieties in geometry, presented by Sara Maloni from UVA.
The Realization Space of a Matroid
Explore the intricacies of matroid realization spaces with Lukas Kühne, delving into advanced mathematical concepts and their applications in combinatorial geometry.
Insights and Challenges in Symplectic Capacities
Explore key insights and challenges in symplectic capacities, delving into advanced mathematical concepts and their applications in geometric analysis.
Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups
Explore Riemannian geometry of Gibbs cones linked to nilpotent orbits in simple Lie groups, delving into advanced mathematical concepts and their applications.
An Approximate Projection onto the Tangent Cone to the Variety of Third Order Tensors of Bounded Rank
Explore approximate projection techniques for third-order tensors with bounded rank, focusing on tangent cone analysis and applications in tensor decomposition.
Toric Fiber Products in Geometric Modeling
Explore toric fiber products and their applications in geometric modeling, enhancing your understanding of advanced mathematical concepts in computer graphics.
Universally Counting Curves in Calabi-Yau Threefolds
Explore a universal enumerative invariant for curves in algebraic varieties, focusing on threefolds with nef anticanonical bundle and its implications for the MNOP conjecture.