Discrete and Continuous Duality Algebras
Delve into Poincare duality algebras and their extensions, exploring connections to toric varieties, spherical varieties, and K-rings through homogeneous and weighted homogeneous polynomials on vector spaces and lattices.
Symplectic Orbifold Gromov-Witten Invariants
Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.
Categorical Noncommutative Geometry
Dive into categorical noncommutative geometry, exploring algebraic varieties through derived categories of coherent sheaves and extending classical concepts to differential graded categories.
Paires de Hecke et K-théorie
Explorez les paires de Hecke en théorie des nombres, leur lien avec la géométrie à grande échelle et les applications aux conjectures de Baum-Connes et Novikov. Découvrez les avancées en K-théorie des C*-algèbres de Hecke.
Tropical Vector Bundles and Matroids
Delve into advanced geometric concepts exploring toric vector bundles, matroids, and their tropical counterparts through classification, equivariant K-theory, and characteristic classes.
Artin Reciprocity via Spheres
Explore Artin reciprocity through spheres, covering functionality, logical construction, global fields, spectra, and K theory in this advanced mathematics lecture.
A Categorical Description of Discriminants
Explore a categorical approach to discriminants in toric homological mirror symmetry, including B-side categories, spherical functors, and K-theoretic evidence. Joint work with Ludmil Katzarkov presented.
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.
Topological Cyclic Homology and the Fargues-Fontaine Curve
Explore the connection between localizing invariants and the Fargues--Fontaine curve, with insights on K-theory, topological cyclic homology, and the twistor projective line.
Dimension, Complexity and K Theory
Explore connections between dimension theory, complexity, and K-theory in mathematics, focusing on applications in topology and geometry. Gain insights into cutting-edge research in these interconnected fields.
Equivariant Genera, Spectrum of Isolated Singularities & Hybrid Models
Explore equivariant genera, singularity spectra, and hybrid models in algebraic geometry. Delve into GIT quotients, McKay correspondence, and LG/CY correspondence for weighted projective spaces.
Modular Regulators and Multiple Modular Values
Explore recent advancements in computing Goncharov regulator integrals for K_4 classes on modular curves, relating them to multiple modular values and single L-values of modular forms.
Hodge Theory for Poisson Varieties and Nonperturbative Quantization
Explore Hodge theory for Poisson varieties and nonperturbative quantization, focusing on K-theory and mixed Hodge structures to simplify complex calculations in deformation quantization.
The K-theoretic DT/PT Vertex Correspondence
Explore K-theoretic DT/PT vertex correspondence on toric 3- and 4-folds, examining equivariant wall-crossing, symmetrized pullbacks, and applications to related conjectures.
Stable Envelopes from 2D Mirror Symmetry
Explore stable envelopes through 2D mirror symmetry, connecting equivariant K-theory and Fukaya categories in Coulomb branches. Gain insights into homological mirror symmetry predictions.
Spheres, Euler Classes and the K-Theory of C*-Algebras of Subproduct Systems
Explore spheres, Euler classes, and K-theory of C*-algebras in subproduct systems through Francesca Arici's insightful mathematical conference talk at CIRM.
Hasse Principle for Simply Connected Groups - Kirk Lecture
Explore the Hasse principle for simply connected groups, its significance in number fields, and recent progress in function fields of curves over p-adic fields.
Prismatic and Syntomic Cohomology of Ring Spectra
Explore prismatic and syntomic cohomology of ring spectra, covering definitions, examples, theorems, and applications in chromatic homotopy and K-theory.
Representation Spheres and Chromatic Picard Groups
Explore representation spheres and chromatic Picard groups in advanced mathematics. Gain insights from Vesna Stojanoska's conference talk at CIRM's thematic meeting on chromatic homotopy.
How Algebraic is a Stable Model Category?
Explore the algebraic nature of stable model categories in this advanced mathematical discussion on chromatic homotopy and K-theory.
The Universal Property of Topological Hochschild Homology
Explore the universal property of topological Hochschild homology in this advanced mathematical lecture, delving into chromatic homotopy and K-theory concepts.