An Overview on Closed G2-Structures
Overview of closed G_2-structures on 7-manifolds, exploring their definition, examples, and applications in holonomy G_2-metrics. Discusses Hitchin flow equations and the Laplacian G_2-flow in compact settings.
Calabi Problem in Generalized Kahler Geometry
Explores generalized Kahler structures, their connection to Kahler manifolds with holomorphic Poisson structures, and presents an approach to the Calabi problem in this context, with focus on toric complex Poisson varieties.
Best Lipschitz Maps and Transverse Measures - Part 2
Explores best Lipschitz maps between hyperbolic surfaces, focusing on approximation methods, transverse measures, and their connection to infinitesimal earthquakes in Teichmüller theory.
A Braided Monoidal 2-Category via Soergel Bimodules
Explore braided monoidal 2-categories through Soergel bimodules, examining quantum group representations and categorification in relation to Hecke algebras and quantum link invariants.
The Nil-Brauer Category - Categorification and Applications
Exploration of the nil-Brauer category, its relation to quantum groups, and applications in categorification and Soergel bimodules, presented by Jonathan Brundan at IPAM's workshop.
Calabi-Yau Theory in Generalized Kahler Geometry
Explore Calabi-Yau theory's extension to generalized Kahler geometry, examining connections to supergravity and geometric flow approaches for constructing solutions.
Commuting Pairs of Generalized Structures, Para-Hyper-Hermitian and Born Geometry
Explore generalized structures on manifolds, focusing on commuting pairs and their integrability. Delve into para-hyper-Hermitian and Born geometry within this context.
Double Groupoids and Generalized Kahler Structures
Explore double groupoids and generalized Kahler structures, focusing on holomorphic symplectic groupoids and their role in describing generalized Kahler metrics using a single real scalar function.
Future of Hitchin Mathematics - Round Table Discussion
Experts discuss advancements and future directions in Hitchin mathematics, exploring its impact on various mathematical fields and potential applications.
Conservative Adaptive Rank Integrators for Nonlinear Kinetic Models
Explore low-rank time integrators for PDEs, including explicit and implicit schemes, with applications to Vlasov, heat, Fokker-Planck, and advection-diffusion equations.
Wave Localization and the Landscape Law
Explore wave localization in complex media, introducing the landscape concept for predicting eigenfunctions, decay patterns, and eigenvalues. Discover new insights on Schrödinger operators and quantum observables.
Components of Higgs Bundle Moduli Spaces - A Legacy of Hitchin's Ideas
Explore Higgs bundle moduli spaces, their components, and the lasting impact of Hitchin's groundbreaking ideas in this mathematical lecture by Steven Bradlow.
Variations on a Theme of Hitchin's System
Explores recent developments in Hitchin's system, including connections to SCFTs, extensions to integrable systems, geometry of the base, and links to the Deligne-Simpson problem.
Positivity and Higher Teichmüller Spaces
Explore positivity in Lie groups, positive representations, and their connected components. Delve into Hitchin's Teichmüller components and related open questions in higher Teichmüller theory.
Introduction to Theory and Numerics of Partial Differential Equations - Lecture 4
Explore advanced concepts in partial differential equations, focusing on theory and numerical methods for solving complex mathematical problems in physics and engineering.
High Resolution Shock Capturing Scheme for Non-Relativistic Hydrodynamics - Lecture 2
Explore advanced numerical techniques for modeling shock waves in non-relativistic fluid dynamics, enhancing understanding of complex hydrodynamic phenomena in astrophysical simulations.
Analysis of Uncertainties in Precision Measurements - Lecture 2
Comprehensive exploration of uncertainty analysis in precision measurements, covering theoretical foundations and practical applications for advanced metrology and quantum sensing.
Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 3
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.
Travelling to the Stars by Ladder
Explore the fascinating concept of reaching stars using a ladder, blending mathematics, physics, and imagination. Discover intriguing insights about space travel and cosmic distances.
Collaborating with Mathematicians on Major Societal Challenges - Session B02
Explore interdisciplinary collaborations between mathematicians and physicists addressing societal challenges, from quantum computing to climate science, through talks by leading researchers.
Minimal Kinematics on M0,n
Explore minimal kinematics on M0,n with Bernd Sturmfels, delving into enumerative geometry and its applications in mathematical sciences.