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LuCaNT: LMFDB, computation, and number theory : Conference LuCaNT: LMFDB, Computation, and Number Theory, July 10-14, 2023 / Institute for Computional and Experimental Research in Mathematics (ICERM), Providence, Rhode Island ; John Cremona, John Jones, Jennifer Paulhus, Andrew V. Sutherland, John Voight, editors
HerausgeberCremona, John E. ; Jones, John W. ; Paulhus, Jennifer ; Sutherland, Andrew V. ; Voight, John
Name der KonferenzConference LuCaNT: LMFDB, Computation, and Number Theory 2023 Providence, RI
KörperschaftBrown University, Institute for Computational and Experimental Research in Mathematics
ErschienenProvidence, Rhode Island : American Mathematical Society, [2024]
Umfangix, 373 Seiten : Diagramme
Serie
Contemporary mathematics ; 796
SchlagwörterNumber theory / Congresses / Number theory -- Proceedings, conferences, collections, etc / Algebraic geometry -- Proceedings, conferences, collections, etc / Number theory -- Explicit machine computation and programs
URLzbMATH
ISBN9781470472603
Inhalt
Improved methods for finding imaginary quadratic fields with high n-rank / Christian Bagshaw, Renate Scheidler, Michael J. Jacobson, and Nickolas Rollick
Unconditional computation of the class groups of real quadratic fields / Ce Bian, Andrew R. Booker, Austin Docherty, Michael J. Jacobson, Jr., and Andrei Seymour-Howell
The relative class number one problem for function fields, III / Kiran S. Kedlaya
Computing the endomorphism ring of an elliptic curve over a number field / John E. Cremona and Andrew V. Sutherland
Serre curves relative to obstructions modulo 2 / Jacob Mayle and Rakvi
Computing nonsurjective primes associated to Galois representations of genus 2 curves / Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan, and Isabel Vogt
Families of genus-2 curves with 5-torsion / Noam D. Elkies
Computing isogeny classes of typical principally polarized abelian surfaces over the rationals / Raymond van Bommel, Shiva Chidambaram, Edgar Costa, and Jean Kieffer
Rational points on rank 2 genus 2 bielliptic curves in the LMFDB / Francesca Bianchi and Oana Padurariu
A database of paramodular forms from quinary orthogonal modular forms / Eran Assaf, Watson Ladd, Gustavo Rama, Gonzalo Tornaría, and John Voight
Modular algorithms for Gross-Stark units and Stark-Heegner points / Håvard Damm-Johnsen
A database of basic numerical invariants of Hilbert modular surfaces / Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita Duque-Rosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone, and John Voight
The landscape of L-functions: degree 3 and conductor 1 / David W. Farmer, Sally Koutsoliotas, Stefan Lemurell, and David P. Roberts
Deuring for the people: supersingular elliptic curves with prescribed endomorphism ring in general characteristic / Jonathan Komada Eriksen, Lorenz Panny, Jana Sotakova, and Mattia Veroni.
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Zusammenfassung
Publisher’s description: This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10–14, 2023, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island and affiliated with Brown University. This conference provided an opportunity for researchers, scholars, and practitioners to exchange ideas, share advances, and collaborate in the fields of computation, mathematical databases, number theory, and arithmetic geometry. The papers that appear in this volume record recent advances in these areas, with special focus on the LMFDB (the L-Functions and Modular Forms Database, http://lmfdb.org), an online resource for mathematical objects arising in the Langlands program and the connections between them. All papers appearing in this volume are published under the Creative Commons Attribution 4.0 International (CC BY 4.0) Public License.