Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Modular Forms and String Theory in honor of Noriko Yui

The Guest Editors for this special issue are

Charles Doran (University of Alberta, Canada)
Yasuhiro Goto (Hokkaido University of Education at Hakodate, Japan)
Ling Long (Louisiana State University, USA)

The issue is related to the Workshop “Modular Forms in String Theory” in honor of Noriko Yui, September 25–30, 2016, Banff, Canada.

The main topic of the issue is the interface of number theory and string theory, in particular, various modular forms, zeta-functions, $L$-series, Galois representations, arising from Calabi–Yau manifolds, conformal field theory, quantum field theory, $4D$ gauge theory, and Feynman diagrams and integrals.

Papers from the participants and from other authors whose work fits into the topics are welcome for this issue.

How to Submit an Article to the Issue.

Both original research articles and review papers will be considered (not published or considered for publication elsewhere).

There is no limit to the length of an article. Deadline for paper submission is May 10, 2018.

All articles will go through the standard peer reviewing procedure of SIGMA.

Papers in this Issue:

Integral Regulators for Higher Chow Complexes
Muxi Li
SIGMA 14 (2018), 118, 12 pages   [ abs   pdf ]
Normal Functions over Locally Symmetric Varieties
Ryan Keast and Matt Kerr
SIGMA 14 (2018), 116, 18 pages   [ abs   pdf ]
Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
Scott Carnahan, Takahiro Komuro and Satoru Urano
SIGMA 14 (2018), 114,   8 pages   [ abs   pdf ]
Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry
Jan Stienstra
SIGMA 14 (2018), 110, 29 pages   [ abs   pdf ]
Hyper-Algebras of Vector-Valued Modular Forms
Martin Raum
SIGMA 14 (2018), 108, 17 pages   [ abs   pdf ]
Hesse Pencils and 3-Torsion Structures
Ane S.I. Anema, Jaap Top and Anne Tuijp
SIGMA 14 (2018), 102, 13 pages   [ abs   pdf ]
A Note on the Formal Groups of Weighted Delsarte Threefolds
Yasuhiro Goto
SIGMA 14 (2018), 097, 12 pages   [ abs   pdf ]
Computing Special $L$-Values of Certain Modular Forms with Complex Multiplication
Wen-Ching Winnie Li, Ling Long and Fang-Ting Tu
SIGMA 14 (2018), 090, 32 pages   [ abs   pdf ]
A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds
Wadim Zudilin
SIGMA 14 (2018), 086, 16 pages   [ abs   pdf ]
The Chevalley-Weil Formula for Orbifold Curves
Luca Candelori
SIGMA 14 (2018), 071, 17 pages   [ abs   pdf ]
Dihedral Group, 4-Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo 4
Ian Kiming and Nadim Rustom
SIGMA 14 (2018), 057, 13 pages   [ abs   pdf ]
The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
Kai-Chieh Chen and Jeng-Daw Yu
SIGMA 14 (2018), 055, 14 pages   [ abs   pdf ]
Evaluation of Certain Hypergeometric Functions over Finite Fields
Fang-Ting Tu and Yifan Yang
SIGMA 14 (2018), 050, 18 pages   [ abs   pdf ]
Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds
Shinobu Hosono and Hiromichi Takagi
SIGMA 14 (2018), 039, 37 pages   [ abs   pdf ]
Manifold Ways to Darboux-Halphen System
John Alexander Cruz Morales, Hossein Movasati, Younes Nikdelan, Raju Roychowdhury and Marcus A.C Torres
SIGMA 14 (2018), 003, 14 pages   [ abs   pdf ]
A Universal Genus-Two Curve from Siegel Modular Forms
Andreas Malmendier and Tony Shaska
SIGMA 13 (2017), 089, 17 pages   [ abs   pdf ]
Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Remke Kloosterman
SIGMA 13 (2017), 087, 22 pages   [ abs   pdf ]
Twists of Elliptic Curves
Max Kronberg, Muhammad Afzal Soomro and Jaap Top
SIGMA 13 (2017), 083, 13 pages   [ abs   pdf ]
Hodge Numbers from Picard-Fuchs Equations
Charles F. Doran, Andrew Harder and Alan Thompson
SIGMA 13 (2017), 045, 23 pages   [ abs   pdf ]
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Jie Zhou
SIGMA 13 (2017), 030, 32 pages   [ abs   pdf ]
Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves
Atsushi Kanazawa
SIGMA 13 (2017), 024, 13 pages   [ abs   pdf ]

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