Gonçalo Tabuada: Additive invariants of orbifolds
Explore additive invariants of orbifolds in algebraic geometry and number theory with Gonçalo Tabuada's insightful lecture from the Hausdorff Trimester Program workshop.
Thomas Nikolaus- K-Theory of Z-P^n and Relative Prismatic Cohomology
Explore K-theory computation for Z/p^n rings using prisms and prismatic cohomology. Learn about generalized prisms and their universal property in this advanced mathematical discussion.
K-theoretic Localization Theorem
Explore K-theoretic localization theorem, its algebraic analog for schemes and stacks, and virtual localization formula for structure sheaves in equivariant cohomology.
Equivariant K-theory of Cellular Toric Varieties and Related Spaces
Explore equivariant K-theory of cellular toric varieties and related spaces in this advanced mathematics talk by Uma Vikraman from IIT Chennai at the Fields Institute.
Conformal Blocks and Geometry of BunG - Talk 16
Delve into advanced mathematical concepts connecting conformal field theory with Bun_G geometry, exploring conformal blocks, Kac-Moody algebras, and non-abelian theta functions.
Moduli of G-bundles as a Quotient by the Gauge Group - Talk 6
Delve into complex geometric theory of holomorphic G-bundles, exploring connections, gauge transformations, and symplectic quotients through the Kempf-Ness Theorem and Yang-Mills functional analysis.
Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems - Lecture 5
Delve into advanced mathematical concepts exploring curve counting, geometric representation theory, and quantum integrable systems with Professor Andrei Okounkov's expert analysis and insights.
Modeling Shapes and Fields - A Sheaf Theoretic Perspective
Explore topological transforms for shape and field modeling, including Euler Characteristic and Lifted Euler Characteristic. Learn about sheaf theory in shape space construction and its applications in statistical analysis.
Algebraic-Geometrical Methods in the Theory of Integrable Systems
Explore algebraic-geometrical methods in integrable systems theory with renowned mathematician Igor Krichever, delving into advanced mathematical concepts and their applications.
Branes and Quivers in String Theory - Lecture 1
Explore connections between string theory, branes, and quivers. Learn about spatial dimensions, brain setups, Coulomb branches, and moduli spaces in this advanced theoretical physics lecture.
Machine Learning the Landscape - Lecture 1
Explore machine learning in string theory landscape, covering Calabi-Yau manifolds, cohomology, and string phenomenology. Gain insights into complex geometries and their applications in theoretical physics.
Quantum Toric Geometry I
Explore quantum toric geometry, a generalization of classical toric geometry using quantum tori, allowing for irrational fans. Learn foundations and motivations behind this advanced mathematical concept.
An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1
Explore quantum toric geometry, a non-commutative generalization of toric geometry. Learn about stacks, quantum tori, and quantum toric varieties, building on foundations of traditional toric geometry.
On the Spectral Problem of a Three Term Difference Operator
Explore the spectral problem of quantum mechanical operators in complex Planck's constant scenarios, focusing on toric Calabi-Yau threefolds and their implications.
Peng Shan- On Geometrical Realization of Centers
Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.
P=W via H_2 - Part 2
Exploration of H_2 Lie algebra action on cohomology of stable twisted Higgs bundles moduli space, connecting tautological classes and Hecke operators to filtrations P and W.
Introduction to P=W and Mirror Symmetry
Explore topological mirror symmetry, character varieties, and the P=W conjecture in relation to Higgs bundle moduli spaces and Hitchin systems in this advanced mathematics lecture.
Ernesto Lupercio: Quantum Toric Geometry
Explore quantum toric geometry, a generalization of toric geometry analogous to how quantum torus extends the usual torus. Delve into quantum toric varieties and their moduli spaces.
Quantum Mirror Symmetry for the Conifold
Explore open Gromov-Witten invariants for the conifold, examining operator equations, mirror curves, and connections to colored HOMFLYPT polynomials in this advanced mathematics lecture.
An Introductory Mini Course into Quantum Toric Geometry Lecture II
Explore quantum toric geometry, including LVM theory, quantum GIT, and moduli spaces of toric varieties. Delve into non-commutative spaces and their relation to traditional toric geometry.
Quantum Toric Geometry I
Explore the fascinating world of Quantum Toric Geometry, a generalization of Classical Toric Geometry using quantum tori, and its implications for constructing moduli spaces of toric varieties.