Equivariant Birational Geometry of 3-Dimensional Projective Space
Explore G-equivariant birational geometry of 3D projective space, focusing on finite group actions and their impact on fibrations into rational curves or surfaces.
Basic Algebraic Geometry - Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity
Explore algebraic geometry fundamentals, including varieties, morphisms, local rings, function fields, and nonsingularity. Gain insights into Zariski topology, affine and projective spaces, and geometric calculus.
Introduction to Algebraic Geometry and Commutative Algebra
Explore algebraic geometry and commutative algebra, covering topics from affine algebraic sets to integral extensions. Gain insights into key theorems and principles in this advanced mathematics course.
A p-adic Approach to Differential Equations - Part II
Explore advanced mathematical concepts in this lecture on p-adic approaches to differential equations. Delve into the second part of Daniel Vargas-Montoya's presentation, delivered as part of the Workshop on "Algebraicity and Transcendence for Singular D…
A p-adic Approach to Differential Equations - Lecture 1
Explore a mathematical lecture on p-adic approaches to differential equations in this first installment of a series presented by Masha Vlasenko. Delivered as part of the Workshop on "Algebraicity and Transcendence for Singular Differential Equations" at…
Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture
Explore the concept of Lagrangian realization in tropical geometry through this M-Seminar talk by Jeff Hicks from the University of Edinburgh. Delve into the relationship between tropical curves in the base of a Lagrangian torus fibration and their corre…
Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians
Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
Differential Equations, Geometry and Arithmetic - Lecture 1
Explore connections between differential equations, geometry, and arithmetic in this advanced mathematics lecture by Duco van Straten.
The Moduli Space of Twisted Laplacians and Random Matrix Theory
Explore the convergence of spectral number variance for twisted Laplacians to random matrix theory ensembles, extending Rudnick's work to break time-reversal symmetry and include Dirac operators.
Mordell Conjecture and the 1986 Fields Medal - Interview with Gerd Faltings
Explore Gerd Faltings' groundbreaking work on the Mordell Conjecture, his Fields Medal journey, and insights into Arithmetic Geometry through an engaging interview with Oxford mathematician Dr Tom Crawford.
A Short Introduction to Sarkisov Theory
Explore Sarkisov theory with Sokratis Zikas in this concise introduction, part of IMPA's algebra community showcase featuring new postdoc fellows and their research interests.
Algebraic Hyperbolicity and Research Interests in Algebra
Explore algebraic hyperbolicity and other research interests with Lucas Mioranci at IMPA. Gain insights into advanced algebraic concepts and current mathematical investigations.
Chiral Homology of P1 and Factorization - Algebra at IMPA
Explore chiral homology of P1 and factorization in advanced algebra. Gain insights from IMPA postdoc Juan Guzman's research in algebraic geometry and topology.
Finite Irreducible Modules over the Conformal Superalgebras K4 and CK6
Explore finite irreducible modules over conformal superalgebras K4 and CK6. Gain insights into advanced algebraic concepts and their applications in mathematical research.
Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
Singular Learning, Relative Information and the Dual Numbers
Dive into relative information's role in machine learning, exploring conditional relative information, singular learning theory, and connections to algebraic geometry and category theory.
Scattering Amplitudes, Multi-variate Residues and Valuated Matroids
Delve into scattering amplitudes, exploring multi-variate residues on Grassmannians and moduli spaces. Uncover connections between physical problems and geometric combinatorics.
Discrete and Continuous Duality Algebras
Delve into Poincare duality algebras and their extensions, exploring connections to toric varieties, spherical varieties, and K-rings through homogeneous and weighted homogeneous polynomials on vector spaces and lattices.
Symplectic Orbifold Gromov-Witten Invariants
Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.
Derived Moduli Spaces of Hermitian-Einstein Connections
Explore advanced concepts in geometry and physics, focusing on derived moduli spaces of Hermitian-Einstein connections in this seminar by Dennis Borisov.
Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.