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                    Arithmetic of Algebraic Curves

                    Spring Central Sectional Meetings

                    in Ohio State University

                    March 27—28, 2018

                    Meeting # 1136






Organizers:  

  • Artur Elezi, American University

  • Monika Polak, Maria Curie-Sklodowska University

  • Tony Shaska, Oakland University


AMS Website

Overview:

    Algebraic curves are one of the most studied areas of mathematics which create a very nice mixture of classical theoretical results with applications. In this session     we intend to bring together researchers who work in some of the areas described below


  • Equations of curves over their minimal field of definition

  • Field of moduli versus the field of definition

  • Neron-Tate models

  • Jacobians of curves and their decompositions

  • Selmer groups in Jacobians

  • Geometry of moduli spaces

  • Limit linear series and Brill-Noether theory

  • Pencils of genus-two curves

  • Period integrals for higher-genus curves

  • Aomoto-Gel’fand and GKZ systems, A-hypergeometric functions, Appell-functions

  • K3 surfaces related to genus-two curves and to the six-line configuration

  • Kuga-Satake variety of Abelian surfaces

  • Prym varieties and their moduli

  • Mirror symmetry

  • Heterortic/F-theory duality in the presence of Wilson lines

  • Seiberg-Witten curves and Dessins d’enfant

  • Tropical curves, automorphisms of tropical curves

  • Elliptic and hyperelliptic curve cryptography

  • Automotive security, embedded systems

  • Algebraic curves and their applications in industrial applications

  • others


Participants (to be completed ...)

  Name  Affiliation Title 
 1Scott Guest   Rochester Adams High School and Oakland UniversityWeighted moduli space of sextics  
 2 Fernando Torres University of Campinas  
 3 Monika Polak Oakland University  
 4 Andrew Obus University of Virginia  
 5Artur Elezi American University   
 6 Tony ShaskaOakland University 
 7Lubjana Beshaj Army Cyber Institute  
 8 Eustrat ZhupaRochester Institute of Technology   
     
     
     
     


Organizers:  

Artur Elezi
Artur Elezi  

Department of Mathematics

American University

Washington DC

Monika Polak
Monika Polak Department of Mathematics

Maria Curie-Sklodowska University

Lublin, Poland

Tony Shaska
Tony Shaska

Department of Mathematics

Oakland University

Rochester, MI 48386