Arithmetic Geometry, Number Theory, and Computation

Jennifer S. Balakrishnan

ISBN 10: 3030809137 / ISBN 13: 9783030809133

Editore: Springer International Publishing, Springer Nature Switzerland, 2022

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Druck auf Anfrage Neuware - Printed after ordering - This volume contains articles related to the work of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation.' The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authorsaim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research.Specific topics include algebraic varieties over finite fields the Chabauty-Coleman method modular forms rational points on curves of small genus S-unit equations and integral points.

Codice articolo 9783030809133

Dati bibliografici

• Titolo: Arithmetic Geometry, Number Theory, and Computation
• Editore: Springer International Publishing, Springer Nature Switzerland
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 3030809137
• ISBN 13: 9783030809133
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 38 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 38 millimetri di profondità
• Peso: 1057 grammi

Descrizione articolo

Riassunto

<div>This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors&nbsp;aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research.</div><div><br></div><div>Specific topics include</div><div>? algebraic varieties over finite fields</div><div>? the Chabauty-Coleman method</div><div>? modular forms</div><div>? rational points on curves of small genus</div><div>? S-unit equations and integral points.</div>

Informazioni sull?autore

<div><div><b>Jennifer Balakrishnan</b> is Clare Boothe Luce Associate Professor of Mathematics and Statistics at Boston University. She holds a Ph.D. in Mathematics from the Massachusetts Institute of Technology.</div><div><br></div><div><b>Noam Elkies</b> is Professor of Mathematics at Harvard University. He holds a Ph.D. in Mathematics from Harvard University.</div><div><b><br></b></div><div><b>Brendan Hassett</b> is Professor of Mathematics at Brown University and Director of the Institute for Computational and Experimental Research in Mathematics. He holds a Ph.D. in Mathematics from Harvard University.</div><div><br></div><div><b>Bjorn Poonen </b>is Distinguished Professor in Science at the Massachusetts Institute of Technology. He holds a Ph.D. in Mathematics from the University of California at Berkeley.</div><div><b><br></b></div><div><b>Andrew Sutherland</b> is Principal Research Scientist at the Massachusetts Institute of Technology. He holds a Ph.D. in Mathematics from the Massachusetts Institute of Technology.</div><div><br></div><div><b>John Voight</b> is Professor of Mathematics at Dartmouth College. He holds a Ph.D. in Mathematics from the University of California at Berkeley.</div></div>