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.
Border Subrank of Tensors
Exploration of tensor subrank and border subrank, including construction of maximal border subrank tensors and lower bound computation for the dimension of maximal border subrank tensor sets.
Higgs Bundles and the Topology of Higher Teichmüller Spaces
Explore advanced mathematical concepts in topology, focusing on Higgs bundles and their role in understanding higher Teichmüller spaces for non-compact real Lie groups.
Heights on Character Varieties, Free Subgroups and Spectral Gaps by Emmanuel Breuillard
Explore heights on character varieties, free subgroups, and spectral gaps in this advanced mathematics lecture, delving into Zariski dense subgroups and their applications in geometry and number theory.
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.
Morita Theory - Interplay Between DG and Weakly Approximable Triangulated Categories
Explores Morita theory for schemes, generalizing Rickard's result beyond affine settings using dg enhancements and weakly approximable triangulated categories, with applications to singularity categories.
The Defect of a Cubic Threefold
Explore geometric properties of singular cubic threefolds, relating defect to various characteristics. Insights from ongoing research with Lisa Marquand, inspired by Hyperkähler manifold construction.
Free Curves, Eigenschemes and Pencils of Curves
Explore free curves, eigenschemes, and pencils of curves in this advanced mathematics talk by Hal Schenck, delving into cutting-edge concepts in enumerative geometry.
New Developments Related to Quasisymmetric Functions
Explore cutting-edge advancements in quasisymmetric functions, delving into their applications and implications in modern mathematics and related fields.
Exploring the Real Parameter Space
Delve into enumerative geometry with Margaret Regan as she investigates real parameter spaces, offering insights into this fascinating mathematical realm.
Real Circles Tangent to Three Conics
Explore the fascinating world of real circles tangent to three conics in this mathematical lecture by Julia Lindberg from the University of Texas at Austin.
A Numerical Toolkit for the Likelihood Correspondence
Explore numerical methods for analyzing likelihood correspondences in statistical models, focusing on applications in enumerative geometry and algebraic statistics.
Certified Homotopy Tracking in Enumerative Geometry
Explore certified homotopy tracking in enumerative geometry with Kisun Lee from Clemson University, focusing on advanced mathematical concepts and applications.
Galois Groups of Lacunary Sparse Polynomial Systems
Explore Galois groups in lacunary sparse polynomial systems, examining their properties and applications in algebraic geometry and number theory.
Commutative Algebra to Representation Theory Through the Combinatorics of Filtered RSK
Explore connections between commutative algebra and representation theory via combinatorial analysis of filtered Robinson-Schensted-Knuth algorithm.
A^1-Brouwer Degrees in Macaulay2
Explore A^1-Brouwer degrees using Macaulay2 software in this Fields Institute talk by Thomas Brazelton from Harvard University, focusing on applications in enumerative geometry.
Schubert Problems of Types A and C in Macaulay2
Explore Schubert problems in types A and C using Macaulay2, focusing on computational approaches in enumerative geometry and algebraic combinatorics.
The Geometry of Weak Order
Explore the mathematical intricacies of weak order geometry, delving into its structures, properties, and applications in advanced algebraic and combinatorial contexts.
Minimal Kinematics on M0,n
Explore minimal kinematics on M0,n with Bernd Sturmfels, delving into enumerative geometry and its applications in mathematical sciences.
Multigraded Stillman's Conjecture
Explore the Multigraded Stillman's Conjecture in algebraic geometry, examining its implications and recent developments in this advanced mathematical topic.