D-Modules and Toric Schobers
Exploring mirror symmetry using perverse sheaves of categories and schobers, with focus on B-side category in toric homological mirror symmetry and associated D-module characteristic cycles.
Basic Cohomology of Moment-Angle Manifolds
Explores basic cohomology of moment-angle manifolds, presenting a Davis-Januszkiewicz type formula for calculating de Rham and Dolbeault cohomology of canonical holomorphic foliations on complex moment-angle manifolds.
Donaldson-Thomas and Gromov-Witten Theories - Part 10
Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.
Donaldson-Thomas and Gromov-Witten Theories - Part 9
Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.
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.
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.
Homotopy Patterns in Group Theory
Explore homotopy patterns in group theory, delving into advanced mathematical concepts and their applications in topology and algebra.
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 Beauty of Braids - From Knot Invariants to Higher Categories
Explore the fascinating world of braids, knot invariants, and higher categories in mathematics with insights from renowned expert Catharina Stroppel.
Probability Theory for Random Groups Arising in Number Theory
Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.
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.
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.
Metric Reconstruction via Optimal Transport
Explores metric reconstruction using optimal transport theory, introducing Vietoris-Rips thickening to recover metric information from point samples in metric spaces, with applications to Riemannian manifolds.
Don Sheehy - Sensors, Sampling, and Scale Selection: A Homological Approach
Explore sensor networks, sampling techniques, and scale selection through algebraic topology. Learn innovative approaches to data analysis and geometric inference in complex systems.
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.
On the Algebraic Geometry of Spaces of Persistence Modules
Explore algebraic geometry's application to persistence modules in topological data analysis, offering insights into data structure and shape analysis.
Stratified Covering Maps and Interleavings
Explore stratified covering maps and interleavings in algebraic topology, examining their applications and theoretical foundations.
Javier Arsuaga - Applications of Computational Topology to the Analysis of Breast Cancer
Explore computational topology's role in breast cancer analysis, uncovering new insights through advanced mathematical techniques and data visualization methods.
Peter Bubenik - Statistical Topological Data Analysis
Explore statistical methods for analyzing topological data, combining mathematical concepts with practical applications in data science and machine learning.