An Introduction to Fusion Rings - Part II
Explore advanced fusion ring concepts, their applications in physics and mathematics, and their connection to particle interactions in various dimensions. Learn computational methods for finding and analyzing fusion rings.
Signal Recovery, Restriction Theory, and Applications - Lecture 4
Explore signal recovery techniques using Fourier transforms and restriction theory. Delve into improved recovery conditions for multiple transmissions and continuous aspects of the problem.
Vector-Valued Concentration on the Symmetric Group
Explore vector-valued concentration inequalities for the symmetric group, examining implications for Banach space geometry and building on recent advancements in discrete hypercube analysis.
Skein Valued Open Gromov-Witten Invariants and Cluster Mutations
Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
Dispatches from the Ends of the Stability Manifold - Lecture 1
Explore Bridgeland stability conditions and their role in homological structures. Delve into noncommutative minimal model programs and their applications in algebraic geometry.
Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 2
Explore cohomological Hall algebras in 2-Calabi-Yau categories, focusing on geometric constructions of generalized Kac-Moody algebras and their applications in algebraic geometry and representation theory.
Counting Holomorphic Disks with Boundary on the Chiang Lagrangian
Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.
Differential Operators on the Base Affine Space and Quantized Coulomb Branches
Explore differential operators on SL_n base affine space and their connection to quantized Coulomb branches in 3d N=4 quiver gauge theory.
Resurgent Perverse Sheaves and Topological Resurgence Theory
Explore topological counterparts of resurgence theory using perverse sheaves on C as convolution algebras, extending beyond regular holonomic D-modules to infinitely singular cases.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 4
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 3
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 2
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 1
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and connections to enumerative geometry.
The Geometry and Arithmetic of Banana Nano-Manifolds
Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.
Arclike Lagrangians in Liouville Sectors
Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence
Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.
Dispatches from the Ends of the Stability Manifold - Lecture 4
Explore advanced concepts in algebraic geometry, including stability conditions, noncommutative minimal model programs, and multi-scale decompositions. Delve into cutting-edge research on augmented stability conditions.
Dispatches from the Ends of the Stability Manifold - Lecture 3
Explore advanced concepts in algebraic geometry, including stability conditions, multi-scale decompositions, and the noncommutative minimal model program. Gain insights into cutting-edge research.
Dispatches from the Ends of the Stability Manifold - Lecture 2
Explore noncommutative minimal model program, multi-scale decompositions, and augmented stability conditions in triangulated categories. Delve into cutting-edge research in algebraic geometry and homological algebra.
An Irregular Deligne-Simpson Problem
Explore connections on algebraic curves with prescribed singularities, focusing on G-connections with regular and irregular singularities, using rational Cherednik algebras.
Maulik-Okounkov Lie Algebras and BPS Lie Algebras
Explore the connection between Maulik-Okounkov and BPS Lie algebras, examining their roles in quiver varieties and cohomological DT theory. Gain insights into non-abelian stable envelopes and Okounkov's conjecture.