Tensor Rank and Bias of Multilinear Forms Over Finite Fields
Explorez les liens entre le rang tensoriel et le biais des formes multilinéaires sur les corps finis dans cette conférence mathématique approfondie.
Non-standard Orders on Torus Bundles with One Boundary
Explore non-standard bi-orderings of fundamental groups in torus bundles with one boundary, extending Perron-Rolfsen's work on standard orderings and Alexander polynomials.
Acylindricity of the Cremona Group - Part 2
Explore the Cremona group's action on infinite-dimensional hyperbolic space and its acylindrical hyperbolicity, leading to insights on its SQ-universal property and embeddings of countable groups.
From Braid Groups to Artin Groups - Lecture 1
Explore Artin groups, including braid groups and free groups. Discover algebraic and geometric characterizations, current knowledge, and new approaches to challenging problems in this field.
Free Resolutions of Powers of Square-Free Monomial Ideals
Explore free resolutions of square-free monomial ideals and their powers, focusing on combinatorial methods and discrete topology. Gain insights into this central problem in commutative algebra.
Degeneracy Loci in Geometry and Combinatorics
Explore degeneracy loci in geometry, tracing their history and examining modern formulas connecting geometric concepts with Schubert polynomial combinatorics.
Special Points on Moduli Spaces
Explore the distribution of special points in moduli spaces, examining algebraic and analytic aspects, including the Andre-Oort conjecture and p-adic distribution.
Real Groups, Symmetric Varieties and Langlands Duality - ICBS 2024
Explore connections between relative Langlands duality and geometric Langlands for real groups, examining derived Satake equivalence for symmetric varieties.
Higher Genus Meanders and Masur-Veech Volumes
Explore higher genus meanders, their asymptotics, and connections to moduli spaces of Abelian and quadratic differentials. Gain insights into complex mathematical concepts and recent advances in geometry.
Moduli of Curves and Moduli of Sheaves - Relationships and Correspondences
Explore relationships between moduli spaces of curves, maps, and sheaves, from GW/DT correspondence to connections with K3 surfaces and abelian varieties moduli.
On the Direct Summand Conjecture and Beyond
Explore the direct summand conjecture's history, proof, and impact on commutative algebra and mixed characteristic birational geometry.
Recent Progress in Geometric Langlands - ICBS 2024
Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.
Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold
Explore duality between pseudoeffective and movable cones on projective manifolds, including recent developments and connections to non-Archimedean Calabi-Yau theorem.
On the p-adic Local Langlands Correspondence
Explore the $p$-adic local Langlands correspondence for ${\mathrm GL}_2({\mathbb Q}_p)$, focusing on geometric constructions from joint works with Dospinescu and Niziol.
Elliptic Cohomology and Enumerative Geometry
Explore the intersection of elliptic cohomology and enumerative geometry, focusing on stable envelopes and their role in understanding q-difference equations.
Dynamical Degrees - #ICBS2024
Explore dynamical degrees, comparing them to other dynamics concepts and delving into key findings using ideas from dynamics, Hodge theory, and geometries.
Kahler-Einstein Metrics on Fano Manifolds - ICBS 2024
Explore Kahler-Einstein metrics on Fano manifolds, bridging differential and algebraic geometry through singularity formations and recent advancements in the field.
Geometry and Integers - Connections Between Number Theory and Geometric Structures
Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.
Mock Modularity of Calabi-Yau Threefolds - ICBS 2024
Explore modular properties of generating functions for Donaldson-Thomas invariants in Calabi-Yau threefolds, their physical origins, and applications in string theory compactifications.
Rationality Problems in Algebraic Geometry - ICBS 2024
Explore geometric ideas and constructions in the study of rationality of higher-dimensional algebraic varieties, focusing on recent developments and challenges.
Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview
Explore developments in enumerative geometry on Calabi-Yau 4-folds, including point counting, curve counting, and surface counting, with connections to string theory and physics.