Bernd Sturmfels - Learning Algebraic Varieties from Samples
Explore algebraic varieties through sampling, focusing on topology and geometry. Learn algorithms for determining dimensions and polynomials, with practical applications in Julia.
Constructions of K-Regular Maps Using Finite Local Schemes
Explore k-regular maps and interpolation theory in algebraic geometry. Learn construction methods, bounds, and applications to continuous function interpolation using advanced mathematical concepts.
Refined Enumerative Geometry
Explore Milnor-Witt sheaves, motivic homotopy theory, and Chow-Witt groups. Gain insights into refined enumerative geometry and its applications in algebraic geometry and topology.
Paul Arne Østvær- A1 Contractible Varieties
Explore A1 contractible varieties in algebraic geometry, covering cancellation theorems, local model structures, and related proofs in this advanced mathematics lecture.
Involutions of a Cubic Fourfold
Explore involutions of cubic fourfolds, covering hyperkähler manifolds, period domains, and evolution types. Delve into geometry, rationality, and related mathematical concepts.
Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety
Explore Kirchhoff's theorem, metric graphs, and tropical Prym varieties. Delve into divisors, Jacobians, and double covers, gaining insights into advanced algebraic geometry concepts.
Tropical Prym Varieties
Explore tropical geometry, divisors, chip firing, and Jacobians. Learn about double covers, induced maps, and generic curves in relation to Prym varieties.
Symmetries in Algebraic Geometry and the Cremona Group
Explore symmetries in algebraic geometry, focusing on automorphisms and birational self-maps of projective varieties. Delve into the Cremona group and its subgroups, with insights from recent research.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Explore virtual topological invariants of moduli spaces, focusing on multiplicative classes, convergence, and residual formulas in sheaf theory on surfaces.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Explore virtual topological invariants of moduli spaces, focusing on sheaves on surfaces. Learn about ischemic points, Euler numbers, and perfect obstruction theory.
Mirror Symmetry for Fano Orbifolds - Lecture 01
Explore mirror symmetry for Fano orbifolds, covering key concepts like differential operators and torque variety in this advanced mathematics lecture.
Mirror Symmetry and Big Algebras
Explore mirror symmetry in Hitchin systems, Kirillov algebras, and equivariant cohomology. Delve into conjectures on non-very stable flows and big commutative subalgebras in affine Schubert varieties.
On the Cohomology of Quot Schemes Parametrizing Torsion Quotients on a Smooth Curve
Explore cohomology of Quot schemes on smooth curves, focusing on torsion quotients. Delve into additive basis, natural maps, and geometric interpretations with expert insights.
ICTP-IGAP Seminar on Algebraic Geometry - Refined Invariants and Vafa-Witten Invariants
Explore refined invariants and Vafa-Witten invariants in algebraic geometry, covering virtual Euler numbers, moduli spaces of sheaves, and Higgs pairs. Delve into localization techniques for C*-actions.
Virtual Invariants of Moduli Spaces of Sheaves on Surfaces and Vafa-Witten Invariants I
Explore virtual invariants of moduli spaces, Vafa-Witten invariants, and related mathematical concepts in this advanced seminar on algebraic geometry and theoretical physics.
Introduction to Higgs Bundles - Lecture 1
Explore complex geometric concepts in Higgs bundles, including Riemann surfaces, theorems, and constructions. Gain insights into advanced mathematical topics through examples, exercises, and proofs.
Global Optimization via the Dual SONC Cone and Linear Programming
Explore global optimization techniques using the dual SONC cone and linear programming, with applications to minimizing exponential sums and multivariate real polynomials.
Invariant Theory for Maximum Likelihood Estimation
Explore connections between maximum likelihood estimation and invariant theory stability in log-linear and Gaussian group models, with applications to statistical modeling.
The Tropical Limit of String Theory and Feynman Integrals
Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
Geometry of Tropical Varieties with Applications - Lecture 3
Explore advanced concepts in tropical geometry, including fans, fanfolds, and tropical modifications. Learn about operations, constructions, and theorems applicable to tropical varieties and their geometric properties.
Phylogenetic Algebraic Geometry
Explore phylogenetic algebraic geometry, its applications in species history reconstruction, and the use of algebraic and geometric perspectives to solve phylogenetic problems.