Chain Level String Bracket and Punctured Holomorphic Discs
Explore Audin's conjecture and its generalization to Liouville manifolds. Discover connections between holomorphic discs and string topology operations, focusing on chain level string brackets.
Integrality of the Betti Moduli Space
Explore the integrality of Betti moduli spaces for smooth projective varieties, examining representations of fundamental groups and their implications for algebraic geometry.
What Does It Mean to Classify?
Explore the concept and significance of classification in mathematics with insights from Joachim Jelisiejew of the University of Warsaw.
Towards an Optimal Spectral Gap Result for Random Compact Hyperbolic Surfaces
Explore recent progress in proving near-optimal spectral gaps for hyperbolic surfaces. Delve into trace methods, challenges, and new tools developed to improve bounds in spectral geometry.
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.
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.
Point Counting over Finite Fields and the Cohomology of Moduli Spaces of Curves
Explore algebraic geometry through point counting over finite fields and cohomology of moduli spaces of curves, resolving longstanding questions and confirming Langlands program predictions.
Isoresidual Fibration: At the Crossroads of Complex Analysis, Flat Geometry and Combinatorics
Explore the intersection of complex analysis, flat geometry, and combinatorics through isoresidual fibration. Gain insights into moduli spaces and geometric structures on surfaces.
Algebraic Curves and Minimal Surfaces
Explore algebraic curves and minimal surfaces with Prof. Sebastian Heller, delving into Riemann surfaces, harmonic maps, and experimental mathematics.
Ball Quotients and Algebraic Geometry - ICBS 2024
Explore ball quotients in algebraic geometry, focusing on moduli spaces, Kaehler metrics, and their connections to sporadic finite simple groups. Examine known examples and recent progress on the Allcock ball quotient.
A Finite Dimensional Proof of the Verlinde Formula
Explore a purely algebro-geometric proof of the Verlinde formula, examining recurrence relations for curve genus and parabolic points in generalized theta function spaces.
Locally Symmetric Varieties with Moduli Interpretation
Explore complex algebraic geometry, focusing on realizing moduli spaces as locally symmetric varieties through Hodge theory. Survey existing results and examine Calabi-Yau manifolds with complex hyperbolic ball periods.
New Geometric Structures in the Langlands Program
Explore new geometric structures in the Langlands program, including the moduli space of G-bundles on the curve, and their role in constructing the semi-simple local Langlands correspondence.
Intersection Theory on Moduli Space of Super Riemann Surfaces
Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.
Quasi Jacobi Forms and Moduli Space of Enhanced Elliptic Curves - GADEPs Conference III
Explore quasi Jacobi forms and moduli space of enhanced elliptic curves in this advanced mathematics lecture by Jin Cao, part of the GADEPs conference on Noether-Lefschetz and Hodge loci.
Foliation Theory and Algebraic Geometry - Deformations of Exterior Differential Ideals
Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like deformations of exterior differential ideals.
On the Formal Principle for Curves on Projective Surfaces
Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into recent advances in complex algebraic geometry and foliation theory.
Polymatroidal Tilings Associated to Limit Linear Series
Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like Fano 3-folds, logarithmic foliations, and curve singularities.
Foliation Theory and Algebraic Geometry
Explore degrees of foliation space components via P1xP1 pullbacks. Dive into advanced algebraic geometry and holomorphic foliation theory with expert Viviana Ferrer.
A Homotopical Description of Deligne-Mumford Compactifications
Explore homotopical descriptions of Deligne-Mumford compactifications, their relation to GW invariants and Fukaya categories, and implications for symplectic cohomology.