Homological Mirror Symmetry - Nikita Nekrasov
Explore homological mirror symmetry and integrable systems through Lax operators, intersection theory, and gauge theory. Delve into Garnier models, Hitchin systems, and quiver gauge theories.
Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks Pt. II
Explore non-Archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness. Gain insights into non-Archimedean mirror symmetry and related theories.
Homological Mirror Symmetry - Categorical Donaldson-Thomas Theory of C^3 and Beyond
Explore advanced concepts in Donaldson-Thomas theory, including categorifications, refinements, and applications to C^3 and beyond, with a focus on categorical invariants and correspondences.
Frontiers in Mathematics Lecture Series - Research Talk
Explore Lie theory, groupoids, and algebroids in this advanced mathematics seminar. Discover local integration techniques and their implications for non-integrable Lie algebroids.
Homological Mirror Symmetry - Maxim Kontsevich Pt. III
Explore advanced algebraic concepts with Maxim Kontsevich, focusing on Getzler-Gauss-Manin connections for non-commutative algebras and their applications in quantum mathematics.
Special Lecture Series on Numerical Geometry - Tristan Collins
Explore complete Calabi-Yau metrics on Fano manifolds with singular divisors, focusing on two-component cases and discussing potential generalizations to more complex scenarios.
Research Seminar - Arc-Connectedness of the Space of 1-Dimensional Commuting Diffeomorphisms
Explore arc-connectedness in 1D commuting diffeomorphisms with Andrés Navas. Gain insights into group actions, community spaces, and rotational concepts in this advanced mathematics seminar.
Functional Inequalities and Improvements: Stability - Part 2
Explore functional inequalities, their optimal constants, and stability properties. Learn strategies for addressing these issues and recent developments in improved inequalities for non-optimizers.
An Application of Symplectic Topology to Algebraic Geometry
Explore symplectic topology's application to algebraic geometry, connecting Rouquier's triangulated category dimension to Krull dimension via homological mirror symmetry.
Canonical Wall Structures via Punctured Gromov-Witten Theory
Exploration of canonical wall structures in logarithmic Calabi-Yau pairs using punctured Gromov-Witten theory, connecting intrinsic mirror construction with earlier approaches.
Ẑ-Invariants and Universal Abelian Cover
Explore Ẑ-invariants of plumbed 3-manifolds through universal abelian covers, linking analytic invariants to topological properties. Gain insights into cutting-edge research in algebraic topology and singularity theory.
On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces
Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.
Moduli Spaces on K3 Categories Are Irreducible Symplectic Varieties
Explore irreducible symplectic varieties as building blocks in singular projective varieties, focusing on moduli spaces of Bridgeland stable objects in Kuznetsov components of specific fourfolds.
Homology Planes and Fundamental Groups
Explore homology planes and fundamental groups in complex surfaces, focusing on an algorithm for line arrangements and its applications to log-general type surfaces with infinite fundamental groups.
Windows and the BGMN Conjecture
Explore the BGMN Conjecture in algebraic geometry using moduli spaces, derived categories, and GIT wall crossing. Uncover insights into vector bundles and symmetric powers of curves.
Birational Geometry of Moduli Spaces via the Essential Skeleton
Explore the essential skeleton in birational geometry, linking it to tropical geometry and moduli spaces, with a focus on $\mathcal{M}_{0,n}$ and potential applications to hyperplane arrangements.
K-Stability of Fano Varieties
Explores K-stability of Fano varieties, connecting complex geometry and algebraic geometry. Discusses recent developments, including solved conjectures and the construction of a moduli space for Fano varieties.
Lattice Cohomology - Part 1
Explore topological lattice cohomology in plumbed 3-manifolds, its connection to Heegaard Floer theory, and its applications in analyzing surface singularities and geometric structures.
Higgs Bundles on Elliptic Surfaces and Logarithmic Transformations
Explore Higgs bundles on elliptic surfaces and their transformations, examining vector bundles' importance in mathematics and the impact of logarithmic transformations on these structures.
Birational Geometry of Sextic Double Solids with a Compound A_n Singularity
Explore birational geometry of sextic double solids with compound A_n singularities, examining rigidity properties and divisorial contractions in this advanced algebraic geometry topic.
Windows and Geometric Invariant Theory
Explore windows theory in algebraic geometry, its applications to GIT constructions, and its impact on derived categories and stability conditions in various mathematical contexts.