Motivic Integration for Non-Archimedean Analytic Spaces - I
Explore motivic integration for rigid varieties over complete discrete valued fields, with potential applications to Berkovich spaces and logarithmic geometry.
Donaldson-Thomas and Gromov-Witten Theories - Part I
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
Schön Varieties and Decomposition of Semi-Algebraic Set
Explore tropicalization, Schön varieties, and decomposition of semi-algebraic sets. Learn about initial degenerations, motivic volumes, and tropical fans in algebraic geometry.
Motivic Integration & Stringy Chern Classes
Explore motivic integration basics and learn how stringy Chern classes apply to singular varieties in this advanced mathematics lecture by Ernesto Lupercio.
Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models
Explores mixed Hodge structures in Landau-Ginzburg models, focusing on functorial behavior and a new spectral sequence relating decomposed functions, with applications in mirror symmetry.
Discriminants and Toric Birational Geometry
Explore Gorenstein toric singularities, B-side categories in toric homological mirror symmetry, and GKZ hypergeometric D-modules. Discover the conjectural construction of associated spherical functors.
Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants
Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.
Compactification of Moduli Spaces of Quantum Toric Stacks
Explores moduli spaces of quantum toric stacks and their compactification, extending toric varieties to stacky generalizations with finitely generated subgroups of R^d as "lattices".
The Mirror Clemens-Schmid Sequence
Explore a four-term exact sequence in cohomology, its relation to filtrations, and a proposed mirror to the Clemens-Schmid sequence, with applications in K3 surface settings.
Homotopy Path Algebras
Explore Homotopy Path Algebras and their applications in algebraic topology, sheaf theory, and toric geometry. Discover connections to homological mirror symmetry and recent developments in the field.
Global Shifted Potentials for Moduli Stack of Sheaves over Calabi-Yau 4 Folds
Explores construction of globally defined shifted potential functionals on moduli stacks of stable sheaves on Calabi-Yau 4-folds, discussing DG Quot schemes, Lagrangian distributions, and applications to derived algebraic geometry.
How to Prove a Calculation Correct? - IPAM at UCLA
Explore alternative methods for proving calculation correctness, focusing on real algebraic geometry and using intermediate information as hints for proof engines.
A Classical View on Derived Algebraic Geometry
Explore derived algebraic geometry from a classical perspective, gaining insights into this advanced mathematical field and its applications.
The Horocycle Flow on the Moduli Space of Translation Surfaces
Explore the intricate dynamics of horocycle flows on translation surface moduli spaces, delving into mathematical concepts and their applications in geometry and dynamical systems.
The Cohomology of Shimura Varieties with Torsion Coefficients and Applications
Explore Shimura varieties' cohomology with torsion coefficients and its applications in advanced mathematics, presented by Ana Caraiani.
The Horocycle Flow on the Moduli Space of Translation Surfaces
Explore the intricate dynamics of horocycle flows on translation surface moduli spaces, delving into mathematical concepts and their applications in geometry and dynamical systems.
Motivic Cohomology - Past, Present and Future
Explore motivic cohomology's evolution, recent developments, and future prospects in algebraic geometry, including cycles with modulus and Chow-Witt theory.
Arithmetic Dynamics - A Survey
Explore arithmetic dynamics, a field merging number theory and algebraic geometry with dynamical systems, examining key problems and recent advancements in this emerging area of mathematics.
Ofer Gabber- Bounding the Torsion in the L-adic Cohomology of Smooth Projective Varieties Without
Explore advanced mathematical concepts in l-adic cohomology, focusing on torsion bounds in smooth projective varieties, presented by renowned mathematician Ofer Gabber.
Aravind Asok, Jean Fasel - Vector Bundles on Algebraic Varieties
Explore vector bundles on algebraic varieties with experts Aravind Asok and Jean Fasel, delving into advanced mathematical concepts and their applications in algebraic geometry.
The Geometry of Synchronization Problems and Learning Group Act
Geometric framework for synchronization problems using fibre bundles, twisted cohomology, and Hodge theory. Applications to learning group actions and subgroups from noisy data.