Results 41 to 50 of about 558 (94)

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi, Masaki Okada, Taizan Watari   +2 more
wiley   +1 more source

Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties

We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in the Chow group.
Bruinier, Jan Hendrik, Rosu, Eugenia, Zemel, Shaul   +2 more
openaire   +2 more sources

Laurent expansions of meromorphic modular forms

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract In this paper, we study the Laurent coefficients of meromorphic modular forms at complex multiplication points by giving two approaches of computing them. The first is a generalization of the method of Rodriguez‐Villegas and Zagier, which expresses the Laurent coefficients as constant terms of a family of polynomials obtained through recursion.
Gabriele Bogo, Yingkun Li, Markus Schwagenscheidt   +2 more
wiley   +1 more source

A Novel Sea State Classification Scheme of the Global CFOSAT Wind and Wave Observations

Journal of Geophysical Research: Oceans, Volume 129, Issue 11, November 2024.
Abstract Ocean waves are essential elements across the air‐sea interface, regulating momentum and energy transfer. The mixture of wind sea and ocean swell coupled with surface winds results in diverse sea state conditions that modify the local air‐sea interaction. Previous classifications of wind waves and swells are mostly binary that are insufficient
Huimin Li, Bertrand Chapron, Douglas Vandemark, Wenming Lin, Danièle Hauser, Yijun He, Fabrice Collard   +6 more
wiley   +1 more source

ON THE MODULARITY OF TORSION CLASSES IN THE COHOMOLOGY OF SHIMURA VARIETIES WITHOUT SEMISTABLE REDUCTION

Mathematical Applications of Science Fiction Abstract. We investigate the torsion cohomology of Shimura varieties of PEL type at primes of deepwild ramification where the integral model fails to exhibit semistable reduction. By constructing aderived infinite-level perfectoid cover of the local model and utilizing the spectral sequence of ...
Revista, Zen, m, 10
openaire   +1 more source

Toroidal Compactifications and Dimension Formulas for Spaces of Modular Forms for Orthogonal Shimura Varieties

, 2016
In this paper we describe the general theory of constructing toroidal compactifications of locally symmetric spaces and using these to compute dimension formulas for spaces of modular forms. We focus explicitly on the case of the orthogonal locally symmetric spaces arising from quadratic forms of signature $(2,n)$, giving explicit details of the ...
openaire   +2 more sources

An Euler system for GU(2, 1). [PDF]

Math Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

Hyperbolic band theory. [PDF]

Sci Adv, 2021
Maciejko J, Rayan S.
europepmc   +1 more source

Modular Heights of Unitary Shimura Varieties III: Proof of the Main Theorem

55 pages.
openaire   +2 more sources

Arithmetic transfers, modularity of arithmetic theta series and geometry of local-global Shimura varieties at parahoric levels

, 2022
Firstly, we introduce a method to establish the conjectured arithmetic modularity of arithmetic theta series on unitary Shimura varieties at general levels, which is based on modifications and uniformizations over vertical fibers. We carry out the method at maximal parahoric levels and obtain new arithmetic modularity results.
openaire   +1 more source