Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting)

DOI10.4171/OWR/2021/6zbMath1487.00034OpenAlexW4220923493MaRDI QIDQ2131199

No author found.

Publication date: 25 April 2022

Published in: Oberwolfach Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/owr/2021/6

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to number theory (11-06) Collections of abstracts of lectures (00B05) Moduli, classification: analytic theory; relations with modular forms (14J15) Discontinuous groups and automorphic forms (11Fxx)

Uses Software

• KoszulDivisorOnPic14M8
• sfqm

Cites Work

• Hyperelliptic Schottky problem and stable modular forms
• On the Fourier coefficients of negative index meromorphic Jacobi forms
• Harmonic Maass forms and periods
• On the modularity of rigid Calabi-Yau threefolds: epilogue
• On Siegel three-folds with a projective Calabi-Yau model
• The \(L\)-functions and Modular Forms Database project
• \(W\)-algebras, higher rank false theta functions, and quantum dimensions
• Rigid Calabi-Yau threefolds over \(\mathbb Q\) are modular
• Genus two partition functions of chiral conformal field theories
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• EPW cubes
• Algebraic cycles on Shimura varieties of orthogonal type
• The theory of Jacobi forms
• Siegel modular forms of degree two attached to Hilbert modular forms
• On the Kodaira dimension of the moduli space of curves. II: The even-genus case
• Syzygies of curves and the effective cone of \(\overline{\mathcal M}_g\)
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Approximations to di- and tri-logarithms
• Weierstrass mock modular forms and elliptic curves
• Cohomology of congruence subgroups of \(\text{SL}(4,\mathbb Z)\). II
• The unirationality of \({\mathcal A}_ 5\).
• The theta correspondence and harmonic forms. I
• The theta correspondence and harmonic forms. II
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Heegner points and derivatives of \(L\)-series. II
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• Values of L-series of modular forms at the center of the critical strip
• Holomorphe Differentialformen zu Kongruenzgruppen der Siegelschen Modulgruppe
• Stabile Modulformen
• Almost strong approximations for definite quadratic spaces
• Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians
• Tables of integral unimodular lattices constructed as \(k\)-neighbors in \(\mathbb{Z}^n\)
• Torus chiral \(n\)-point functions for free boson and lattice vertex operator algebras
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• The geometry of the moduli space of curves of genus 23
• Uniruledness of strata of holomorphic differentials in small genus
• The universal \(K3\) surface of genus 14 via cubic fourfolds
• On a theta lift related to the Shintani lift
• On two geometric theta lifts
• Meromorphic \(c=24\) conformal field theories
• On the Kodaira dimension of the moduli space of curves
• On the Kodaira dimension of the moduli space of Abelian varieties
• Double solids
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• On the geometry and arithmetic of some Siegel modular threefolds
• On some free algebras of orthogonal modular forms
• Schellekens' list and the very strange formula
• Integral representations of rank two false theta functions and their modularity properties
• Rank two false theta functions and Jacobi forms of negative definite matrix index
• On the paramodularity of typical abelian surfaces
• Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions
• A framework for modular properties of false theta functions
• Dimension formulas of paramodular forms of squarefree level and comparison with inner twist
• A criterion of smoothness at infinity for an arithmetic quotient of the future tube
• The Kodaira dimension of the moduli of \(K3\) surfaces
• Twisted cubics on cubic fourfolds
• Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
• Compactification of arithmetic quotients of bounded symmetric domains
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Modular Calabi-Yau threefolds
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• $K3$ surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
• Generalized arithmetic intersection numbers
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Lattices with many Borcherds products
• COMPUTATIONS OF SPACES OF PARAMODULAR FORMS OF GENERAL LEVEL
• On the Langlands correspondence for symplectic motives
• The non-existence of stable Schottky forms
• On the algebra of Siegel modular forms of genus $2$
• Hyper-Kähler fourfolds and Grassmann geometry
• THE GEOMETRY AND ARITHMETIC OF A CALABI–YAU SIEGEL THREEFOLD
• Theta lifts of Bianchi modular forms and applications to paramodularity
• The unirationality of the moduli spaces of curves of genus 14 or lower
• KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES
• Some intersection numbers of divisors on toroidal compactifications of 𝒜_{ℊ}
• Birational aspects of the geometry of M_g
• Koszul divisors on moduli spaces of curves
• Die Kodairadimension von Körpern automorpher Funktionen.
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• The Chow Ring of the Moduli Space of Abelian Threefolds
• Families of K3 surfaces
• The Cusp Forms of Weight 3 on Γ 2 (2, 4, 8)
• An arithmetic theory of Jacobi forms in higher dimensions.
• Minimal Siegel modular threefolds
• Siegel paramodular forms of weight 2 and squarefree level
• Geometry of the moduli space of n-pointed K3 surfaces of genus 11
• A mass formula for unimodular lattices with no roots
• Modular invariance of characters of vertex operator algebras
• Twisting of Siegel paramodular forms
• Nonlift weight two paramodular eigenform constructions
• Finding all Borcherds product paramodular cusp forms of a given weight and level
• Deformations of Saito-Kurokawa type and the Paramodular Conjecture
• Paramodular cusp forms
• Calabi-Yau three-folds and moduli of abelian surfaces II
• Paramodular abelian varieties of odd conductor
• Modular Forms and Special Cycles on Shimura Curves. (AM-161)
• Traces of CM values of modular functions
• ON MODULAR FORMS FOR THE PARAMODULAR GROUPS
• Notes on elliptic curves. II.
• Notes on elliptic curves. I.
• Computation of paramodular forms
• Computing \(L\)-functions: a survey
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting)