The Horocycle Flow on the Moduli Space of Translation Surfaces
Explore the intricate dynamics of horocycle flows on translation surface moduli spaces, delving into mathematical concepts and their applications in geometry and dynamical 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.
Counting Lattice Points in Moduli Spaces of Quadratic Differentials
Explore lattice point counting in moduli spaces of quadratic differentials, examining applications in Masur-Veech volumes, geodesic multicurves, and meander enumeration.
David Kazhdan- On the Langlands Correspondence for Curves Over Local Fields
Explores recent results and conjectures on automorphic functions theory for moduli spaces of bundles on curves over local fields, discussing both archimedean and non-archimedean cases.
Horocycle Flow on Moduli Spaces of Translation Surfaces
Explore the intricate dynamics of horocycle flow on moduli spaces of translation surfaces in this advanced mathematics lecture by Jon Chaika.
Geometry of Moduli Spaces of Curves - Lecture 4
Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the ICTP Summer School.
Geometry of Moduli Spaces of Curves - Lecture 1
Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the Summer School.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 5
Combinatoria de superficies quadriculadas e geometria de espacos de modulos: explorando conexões entre topologia, geometria e teoria dos números em espaços de módulos.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 4
Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones a la teoría de grupos y análisis.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 3
Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, profundizando en conceptos avanzados de matemáticas y análisis geométrico.
AGRA IV - Combinatorics of Square-Tiled Surfaces and Geometry of Moduli Spaces - Lecture 2
Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones matemáticas y análisis profundo.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 1
Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, abordando conceptos avanzados en matemáticas y análisis geométrico.
Tautological Rings of Moduli Spaces of Curves - Lecture 3
Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.
A Representability Theorem for Moduli Spaces of Pseudo-Holomorphic Curves
Explore a theorem on representability for moduli spaces of pseudo-holomorphic curves, delving into advanced concepts in geometry and topology.
More Deformations of the Cohomology Ring of the Moduli Space of Representations
Explore deformations of cohomology rings in representation spaces of Riemann surfaces, examining algebraic, geometric, and physical perspectives on this rich mathematical topic.
ICTP-IGAP Algebraic Geometry Seminar on Vertical Vafa-Witten Invariants
Explore Vafa-Witten invariants, focusing on vertical components. Examine moduli space fixpoint loci, generating functions, and conjectural formulas for both vertical and horizontal invariants.
Moduli Spaces of Sheaves and Vafa-Witten Formula in Algebraic Geometry
Explore moduli spaces of sheaves, Hilbert schemes, and the Vafa-Witten formula. Learn about perfect obstruction theories, virtual fundamental classes, and their role in defining enumerative invariants for singular spaces.
Moduli Spaces in Tropical Geometry
Explore moduli spaces in tropical geometry, examining their structure and applications in algebraic geometry, with insights from Brown University expert Melody Chan.
P=W via H_2
Exploration of Lie algebra H_2 and its action on cohomology of moduli spaces, connecting natural filtrations and tautological operations to unify mathematical concepts.
On the Geometry of Hyperkähler Manifolds
Explore hyperkähler manifolds, their properties, and examples. Delve into deformation types, moduli spaces of stable sheaves, and the birational geometry of K3-type manifolds with symplectic actions.
Stephan Stieberger - Single Valued Multiple Zeta Values and String Amplitudes
Explores the connection between real and complex iterated integrals in mathematics and their applications to open and closed string scattering amplitudes in physics, using single-valued projections.