Heegaard Floer Homology and Topology in Dimensions 3.5 - 1
Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions 3.5 to 1 in this advanced mathematics lecture.
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.
Theory of Weights in Rooted K-Trees
Explore the mathematical concept of weights in rooted k-trees, delving into their properties, applications, and theoretical foundations.
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.
Standard and Less Standard Asymptotic Methods - Lecture 12
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
Standard and Less Standard Asymptotic Methods - Lecture 11
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in mathematical analysis.
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.
Standard and Less Standard Asymptotic Methods - Lecture 10
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with applications to complex mathematical problems.
Standard and Less Standard Asymptotic Methods - Lecture 7
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
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.
Standard and Less Standard Asymptotic Methods - Lecture 2
Explore advanced asymptotic methods in mathematics, delving into both standard and unconventional approaches to enhance problem-solving skills and theoretical understanding.
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.
Mixing Rates for Symplectic Almost Anosov Maps - ICTP 2021
Explore mixing rates in symplectic almost Anosov maps with Peyman Eslami. Gain insights into advanced mathematical concepts and their applications in dynamical systems theory.
Applications of Homogeneous Dynamics - From Number Theory to Statistical Mechanics - Lecture 10
Explore applications of homogeneous dynamics in number theory and statistical mechanics, bridging mathematical concepts with real-world phenomena.
Renormalization in Low Dimensional Dynamics - Lecture 8
Explore advanced concepts in low dimensional dynamics, focusing on renormalization techniques and their applications in mathematical analysis and dynamical systems theory.
Renormalization in Low Dimensional Dynamics - Lecture 3
Explore advanced concepts in low dimensional dynamics, focusing on renormalization techniques and their applications in mathematical analysis and dynamical systems theory.