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.
Motivic Hochschild Homology Over Algebraically Closed Fields
Explore Hochschild homology in motivic spectra, uncovering torsion classes and connections to Steenrod algebra. Gain insights into algebraic geometry and homotopy theory applications.
Enumeration of Maps via Integrability
Explore map enumeration techniques, from Tutte's work to KP hierarchy, deriving recurrence formulas for oriented and non-oriented maps using integrability methods in mathematics and physics.
Open/Closed Correspondence and Mirror Symmetry in Gromov-Witten Theory
Explore open/closed correspondence in Gromov-Witten theory, examining numerical invariants, generating functions, and compatibility with mirror symmetry in toric Calabi-Yau manifolds.
Laguerre Polynomials: Generating Function and Three-Term Recurrence Relation - Lecture 55
Explore Laguerre polynomials through generating functions and three-term recurrence relations, enhancing your understanding of these important mathematical tools.
Hausdorff Moment Problems for Combinatorial Numbers: Heuristics via Meijer Functions
Explore Hausdorff moment problems for combinatorial sequences, focusing on integral ratios of factorials. Learn techniques to solve these problems and discover patterns in Meijer G-function encodings.
Phase Transitions of Composition Schemes and Their Universal Limit Laws
Explore phase transitions in composition schemes, analyzing critical cases and their impact on asymptotic behavior. Uncover rich limit laws and universal properties in combinatorial structures.
Solving Equations from Combinatorics via Computer Algebra
Explore advanced techniques for solving discrete differential equations in combinatorics using computer algebra, focusing on efficient methods for n=2 cases and recent developments in systems of equations.
Counting Partitions by Genus
Explore set partition counting by genus, focusing on primitive partitions and functional equations to reconstruct all partitions, with emphasis on genus 0-2 cases.
Counting Restricted Set Partitions with Hypergeometrics
Explore advanced set partition counting using hypergeometric functions and generalized Hermite polynomials. Gain insights into restricted Bell numbers and their closed-form expressions.
Elliptic Cohomology and Enumerative Geometry
Explore the intersection of elliptic cohomology and enumerative geometry, focusing on stable envelopes and their role in understanding q-difference equations.
The Squish Map and the SL_2 Double-Dimer Model
Explore measure-preserving maps between dimer models on hexagon lattices, connecting single and double-dimer models for insights into partition functions and plane partition enumeration.
Guaranteed Bounds for Discrete Probabilistic Programs with Loops via Generating Functions - LAFI'24
Explore a technique for finding guaranteed bounds on posterior distributions in probabilistic programs with loops using probability generating functions and inductive invariants.