Prym Varieties and Prym Map - Part 2
Explore Prym varieties and the Prym map, delving into advanced algebraic geometry concepts and their applications in hyperkähler geometry.
Hitchin Fibration and Prym Varieties
Explore the connection between Hitchin fibration and Prym varieties in algebraic geometry, delving into classical results and recent developments in hyperkähler geometry.
On Ramified Prym Maps and Their Fibers
Explore ramified Prym maps and their fibers in algebraic geometry, delving into hyperkähler and Prym varieties with insights from classical and contemporary research.
Basic Notions Seminar on Tropical Geometry
Introduction to tropical geometry, focusing on plane tropical curves as piecewise linear graphs and their applications in enumerative geometry. Explores the combinatorial aspects that reflect properties of algebraic varieties.
A Geometric R-Matrix for the Hilbert Scheme of Points on a General Surface
Explore geometric R-matrices for Hilbert schemes of points on general surfaces, delving into advanced mathematical concepts and their applications.
On the Log-Local Principle for Refined Gromov-Witten Theory
Explore the log-local principle in Gromov-Witten theory, its applications, and recent developments in refined invariants with expert Andrea Brini from the University of Birmingham.
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.
Computation of the Vertical Vafa-Witten Invariants II
Explore advanced algebraic geometry concepts, focusing on vertical Vafa-Witten invariants computation using localization on Hilbert schemes of points for toric surfaces.
Computation of Vertical Vafa-Witten Invariants
Explore vertical Vafa-Witten invariants, nested Hilbert schemes, and Laarakker's structure theorem. Learn to compute generating functions using toric surfaces and localization techniques.
Vertical Vafa-Witten Invariants and Nested Hilbert Schemes
Explore vertical Vafa-Witten invariants and nested Hilbert schemes in this advanced algebraic geometry seminar, delving into complex mathematical concepts and their applications.
ICTP-IGAP Seminar on Representations of the Diagonal and the Cohomology Rings of Quot Schemes
Exploration of diagonal class representations in moduli settings and cohomology ring structures of punctual Quot schemes, with focus on accessible cases and mathematical insights.
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.
ICTP-IGAP Seminar on Algebraic Geometry - Representations of the Diagonal for Moduli Spaces of Sheaves
Explore representations of the diagonal for moduli spaces of sheaves, focusing on cohomology, Chow rings, and Lie algebra actions. Gain insights into algebraic geometry and holomorphic symplectic geometry.
Moduli Spaces of Sheaves, Vafa-Witten Formula and Virtual Invariants
Explore moduli spaces of sheaves, Vafa-Witten formula, and virtual invariants in algebraic geometry. Learn about Hilbert schemes, stable sheaves, and perfect obstruction theories.
ICTP-IGAP Seminar on Algebraic Geometry - The SL(2) Action on the Chow Ring of an Abelian Variety
Explore the sl(2) action on the Chow ring of an abelian variety in this advanced algebraic geometry seminar by Alina Marian, delving into complex mathematical concepts and theories.
Symbolic Rees Algebras and Set-Theoretic Complete Intersections
Explore symbolic Rees algebras and set-theoretic complete intersections in commutative algebra and algebraic geometry, focusing on prime characteristics.
Hilbert-Kunz Density Function and Its Applications to Some Hilbert-Kunz Multiplicity Conjectures
Explore the Hilbert-Kunz density function and its applications to multiplicity conjectures in this advanced mathematics lecture by V. Trivedi from the Tata Institute.
Gorenstein Property of Normalized Tangent Cones of Integrally Closed Ideals of 2-Dimensional Normal
Explore the Gorenstein property in normalized tangent cones of integrally closed ideals within 2-dimensional normal local rings, presented by K. Watanabe from Nihon University, Japan.
Singularity Invariants in Positive Characteristic
Explore singularity invariants in positive characteristic mathematics, focusing on advanced concepts and their applications in algebraic geometry and related fields.