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.
Mirrors of Curves and Their Fukaya Categories - Denis Auroux
Explore symplectic geometry with Denis Auroux as he delves into mirrors of curves and their Fukaya categories, covering topics from monomial examples to Lagrangian admissibility.
Pseudoholomorphic Curves with Boundary - Can You Count Them? Can You Really? - Sara Tukachinsky
Explore pseudoholomorphic curves with boundary, their counting challenges, and innovative approaches in Gromov-Witten theory with Sara Tukachinsky's advanced mathematical seminar.
Hypersurface Symmetry at Infinite Distance and its Stringy Origin
Explore Hodge-structure symmetry at infinite distance in moduli space and its connection to string theory, focusing on the Landscapia framework.
Compactifying the Set of Sequences of Positive Real Numbers by Their Asymptotic Behavior and Its Applications to Graph Limits
Explore advanced mathematical concepts in discrete probability and statistics through lectures, minicourses, and collaborative sessions. Engage with researchers and delve into graph limits and network analysis.
Spaces of Lorentzian Polynomials
Delve into advanced mathematical concepts exploring Lorentzian polynomials, their topology, and relationship with local Dressians, featuring insights on compactification and Tutte group connections.
Representations of Fuchsian Groups, Parahoric Group Schemes by Vikraman Balaji
Explore advanced mathematical concepts including Fuchsian groups, parahoric schemes, and root systems. Delve into complex algebraic structures and their representations in this in-depth lecture on geometric group theory.
The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1
Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.
Kato-Usui Type Extension of General Period Map
Explore Kato-Usui theory for extending non-classical period maps, its applications, and potential future directions in algebraic geometry and Hodge theory.
Period Mappings at Infinity - Recent Developments II
Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases of ppav and K3s.
Comparing Geometric and Hodge-Theoretic Compactifications I
Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, comparing geometric and Hodge-theoretic approaches. Discusses recent work on stable K3 surfaces and recognizable divisors.
Compactifications of Moduli — Geometry vs. Hodge Theory
Exploration of geometric and Hodge theoretic approaches to compactifying moduli spaces in algebraic geometry, with focus on classical cases and H and I-surfaces.
Compactification of Moduli Spaces of Quantum Toric Stacks
Explores moduli spaces of quantum toric stacks and their compactification, extending toric varieties to stacky generalizations with finitely generated subgroups of R^d as "lattices".
Cohomology of Compactifications of Hypersurface Arrangement Complements
Explore advanced algebraic geometry concepts, focusing on cohomology of compactifications in hypersurface arrangement complements with expert Alex Fink.
Metric-Functional Boundary of Cayley Graphs
Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.
Tropicalization of the Universal Jacobian: Logarithmic and Non-Archimedean Views
Explore tropicalization of universal Jacobians, examining logarithmic and non-archimedean perspectives. Gain insights into moduli spaces, cone stacks, and new stability conditions for compactified Jacobians.
Universally Counting Curves in Calabi-Yau Threefolds
Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
Universally Counting Curves in Calabi-Yau Threefolds
Explore a universal enumerative invariant for curves in algebraic varieties, focusing on threefolds with nef anticanonical bundle and its implications for the MNOP conjecture.
Different Notions of Tameness Revisited in Étale Morphisms
Explore different approaches to defining tameness in étale morphisms of schemes, focusing on valuation-theoretic methods and nonarchimedean geometry to overcome limitations of compactification-based approaches.
Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices - IPAM at UCLA
Explore advanced techniques in general relativity, focusing on including future null-infinity in computational domains for cosmic censorship studies and gravitational wave astronomy applications.
The Battle for Reality - String Theory vs Quantum Field Theory
Explore the battle between String Theory and Quantum Field Theory, examining their approaches to explaining fundamental particles, forces, and the challenge of quantizing gravity.