Foliations on Shimura Varieties
Explore foliations on Shimura varieties, focusing on inseparable morphisms, characteristic P, and applications to surfaces and general cases in algebraic geometry.
Dichotomy and Howe Duality for Exceptional Theta Correspondences
Explore exceptional theta correspondences, focusing on Howe duality for G_2 x H pairs and a dichotomy theorem. Gain insights into local data correspondence, constraints, and reductive periods.
Eisenstein Cocycles and Values of L-Functions
Explore Eisenstein cocycles, equivariant cohomology, and their applications to L-functions. Gain insights into recent constructions and their connections to theta kernels and arithmetic groups.
Ramification of Supercuspidal Parameters
Explore supercuspidal parameters in representation theory, focusing on local Langlands conjecture, Fargues-Scholze theory, and applications to automorphic forms and wild ramification.
The Zoo of Discrete Conformal Structures
Explore discrete conformal structures on surfaces, including circle packing and multiplicative weights. Learn about classification, applications, and recent developments in discrete conformal mapping.
The Tropical Limit of String Theory and Feynman Integrals
Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
Geometry of Tropical Varieties with Applications - Lecture 3
Explore advanced concepts in tropical geometry, including fans, fanfolds, and tropical modifications. Learn about operations, constructions, and theorems applicable to tropical varieties and their geometric properties.
Artin Reciprocity via Spheres
Explore Artin reciprocity through spheres, covering functionality, logical construction, global fields, spectra, and K theory in this advanced mathematics lecture.
Towards Reduction of Singularities of Generalized Analytic Functions
Explore generalized analytic functions, focusing on singularity reduction techniques and their applications in tame geometry, with insights from complex analytic and nonarchimedean methods.
Differential Equations and Mixed Hodge Structures
Explore the interplay between differential equations and mixed Hodge structures, focusing on periods, kappa series, and motific gamma in number theory and algebraic geometry.
Quantum Complexity and L-functions
Explore quantum algorithms for L-functions and zeta functions, examining complexity results, cohomology's role, and applications to modular forms and Mordell-Weil theorem.
Finite-Dimensional Representations of the Queer Lie Supergroup Q-N
Explore finite-dimensional representations of Q(n), including G-modules, Qn modules, Vera's theorem, and the typical lemma in supergeometry and bracket structures.
Super Quantization
Explore supergeometry, representations of supergroups, and super quantization in this advanced mathematics lecture on super Harish-Chandra pairs and unitary representations.
Shadow Sequences of Integers
Explore integer shadow sequences, cluster algebras, and supergeometry in this advanced mathematics talk, delving into coordinate transformations and hypergraphs.
Applications of O-minimality to Hodge Theory - Lecture 4
Explore infinitesimal thickening, definable spaces, and cell decomposition in o-minimality, with applications to Hodge theory and Abelian shields.
Some Open Problems in the Geometry of Complex Supercurves
Explore complex supercurves, including split and elliptic types, spectral curves, divisors, and line bundles. Discover open problems in supergeometry and their connections to physics.
Cluster Algebra Structures from Decorated Super-Teichmüller Spaces
Explore cluster algebra structures derived from decorated super-Teichmüller spaces, examining dimer models and labels in the context of supergeometry and bracket structures.
Tameness Beyond O-Minimality - Lecture 2
Explore advanced mathematical concepts in tame geometry, focusing on o-minimality, metric dimensions, and related topics in real algebraic geometry.
Hilbert's 16th Problem and O-Minimality - Lecture 1
Explore the topology of cycles, limit cycles, and related mathematical concepts in this advanced graduate-level lecture on Hilbert's 16th problem and o-minimality.
Tameness Beyond O-Minimality - Lecture 1
Explore advanced mathematical concepts beyond o-minimality, including real fields, partial orders, and postminimality in this graduate-level lecture on tame phenomena.
Persistence Diagram Bundles- A Multidimensional Generalization of Vineyards
Explore persistence diagram bundles, a multidimensional generalization of vineyards for analyzing topological changes in data sets with multiple parameters, including computation methods and potential applications.