On the Geometry of Hyperkähler Manifolds
Explore hyperkähler manifolds, their properties, and examples. Delve into deformation types, moduli spaces of stable sheaves, and the birational geometry of K3-type manifolds with symplectic actions.
Introduction to Hilbert-Kunz Multiplicity - Part 1
Explore the fundamental concepts and applications of Hilbert-Kunz Multiplicity in this graduate-level mathematics lecture, focusing on tight closure of ideals.
Symbolic Powers of Ideals - Part 1
Explore the mathematical concept of symbolic powers of ideals, delving into advanced algebraic theory and its applications in graduate-level mathematics.
Briancon-Skoda Theorems
Explore advanced mathematical concepts in tight closure theory, focusing on Briancon-Skoda theorems and their applications in algebraic geometry and commutative algebra.
Uniform Artin-Rees Results - Part 2
Explore advanced concepts in tight closure theory, focusing on uniform Artin-Rees results and their applications in algebraic geometry and commutative algebra.
Cohen-Macaulayness of the Absolute Integral Closure in Characteristic P Major of 0
Explore Cohen-Macaulayness of absolute integral closure in characteristic p>0, delving into advanced algebraic geometry concepts and their applications in tight closure theory.
Introduction to Hilbert-Kunz Multiplicity - Part 2
Explore advanced concepts in algebraic geometry, focusing on Hilbert-Kunz multiplicity theory and its applications in tight closure of ideals.
An Overview of Tight Closure of Ideals - Part 1
Explore the fundamental concepts and applications of tight closure theory in commutative algebra, focusing on ideals and their properties in ring theory.
Direct Summands of Regular Rings - Part 2
Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.
Direct Summands of Regular Rings - Part 3
Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.
Where Does Tight Closure Come From?
Explore the origins and fundamental concepts of tight closure in algebraic geometry, delving into its mathematical foundations and significance in ideal theory.
Computations of Vafa-Witten Invariants in Algebraic Geometry
Explore advanced algebraic geometry concepts, focusing on Vafa-Witten invariants and their computational methods in modern mathematical research.
Modular Forms, Elliptic Polylogarithms and Feynman Integrals
Explores advanced mathematical concepts in Feynman integrals, focusing on epsilon-form solutions, modular forms, and elliptic polylogarithms, with applications in number theory and physics.
Johannes Brödel- From Elliptic Multiple Zeta Values to Modular Graph Functions
Explore the connection between elliptic multiple zeta values and modular graph functions in this advanced mathematics lecture by Johannes Brödel.
Stephan Stieberger - Single Valued Multiple Zeta Values and String Amplitudes
Explores the connection between real and complex iterated integrals in mathematics and their applications to open and closed string scattering amplitudes in physics, using single-valued projections.
Modular Graph Functions and Non Holomorphic Modular Forms
Explore non-holomorphic modular forms in string theory, their properties, and connections to mixed motives and L-functions. Gain insights into advanced mathematical concepts in physics.
Graphical Hyperlogarithms
Explore graphical hyperlogarithms, a generalization of iterated integrals related to cell zeta values. Learn about their graphical representation and coaction formula in subquotient graphs.
The Galois Group of the Category of Mixed Hodge Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, focusing on Tannakian formalism and the canonical description of the Hopf algebra in relation to graded comodules.
Michael Hoffman - Multiple Zeta Values and Alternating MZVs Arising From a Combinatorial Problem
Exploration of multiple zeta values and alternating MZVs stemming from a combinatorial problem, discussing formulas involving Euler polynomials and relations among alternating multiple zeta values.
Raf Bocklandt: Deforming Dimers
Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.
Motivic Eisenstein Cohomology, P-Adic Interpolation and Applications
Explore motivic Eisenstein classes, p-adic interpolation, and their applications in arithmetic, including explicit reciprocity law for Rankin-convolutions.