Random surfaces enumerating algebraic curves

Abstract

These are notes from my lecture at 4ECM in Stockholm (June 2004).

24 pages, 7 figures

References in corpus (11)

• Geometric Engineering of Quantum Field Theories
• Quantum Foam and Topological Strings
• Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
• Quantum Calabi-Yau and Classical Crystals
• Hodge integrals and invariants of the unknot
• The equivariant Gromov-Witten theory of P^1
• The uses of random partitions
• Gromov-Witten theory, Hurwitz theory, and completed cycles
• Quantum cohomology of the Hilbert scheme of points in the plane
• Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
• On a Proof of a Conjecture of Marino-Vafa on Hodge Integrals

Cited by in corpus (8)

• Random matrix techniques in quantum information theory
• Wall Crossing, Quivers and Crystals
• Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
• Limit shapes and the complex burgers equation
• Random partitions and instanton counting
• Mahler Measure Variations, Eisenstein Series and Instanton Expansions
• Random skew plane partitions and the Pearcey process
• Random Toric Surfaces and a Threshold for Smoothness