The Higher-Genus Sigma Function and Applications

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The Higher-Genus Sigma Function and Applications

 11 - 15 Oct 2010
 ICMS, 15 South College Street

Scientific Organisers:

  • Chris Athorne, University of Glasgow

  • Harry Braden, University of Edinburgh

  • Victor Buchstaber, Moscow State University 

  • J. Chris Eilbeck, Heriot-Watt University

  • Victor Enolski, University of Edinburgh

  • John Gibbons, Imperial College

  • Emma Previato, Boston University

Speakers:

  • Victor Enolskii, National Academy of Sciences of Ukraine - Introduction 

  • David Grant, University of Colorado - A Level 1 Genus 2 Jacobi's Derivative Formula and Applications to the Analytic Theory of Genus 2 Curves

  • Christian Klein, Institut de Mathématiques de Bourgogne - Algebraic Curves and Riemann Surfaces in Matlab

  • Yoshihiro Onishi, University of Yamanashi - Frobenius-Stickelberger-Type Formulae for General Curves

  • Christophe Ritzenhalter, IML - Algorithmic Number Theory and the Allied Theory of Theta Functions

  • Atsushi Nakayashiki, Kyushu University - On a Deformation of Baker's Addition Theorem

  • Victor Enolski, National Academy of Sciences of Ukraine - On the Existence of Non-Abelian Monopoles: the Algebro-Geometric Approach

  • Harry Braden, University of Edinburgh - Symmetry, Curves and Monopoles

  • Armando Treibich, Universite d'Artois - Systems of Polynomial Equations and Hyperelliptic Tangential Covers

  • Yury Fedorov, Politechnic University of Catalonia - Matrix Jacobi-Mumform Systems, Discrete Neumann Systems on Stiefel Varieties and the Addition Law on Prym Varieties

  • Jutta Kunz, University of Oldenburg - Monopoles and Monopole-Antimonopole Systems

  • Claus Lämmerzahl, University Bremen - Analytic Solutions of the Geodesic Equation in Axially Symmetric Space-Times and Observables

  • Betti Hartmann, Jacobs University Bremen - Geodesic Motion in Space-Times Containing Cosmic Strings

  • Valeriya Kagramanova, University of Oldenburg - Hyperelliptic Curve of Arbitrary Genus in Geodesic Equations of Higher Dimensional Space-Times

  • Dmitry Korotkin, Concordia University - Isomonodromic Tau-Function as Higher Genus Analog of Dedekind Eta-Function

  • Emma Previato, Boston University - Subvarieties of Moduli Spaces of Curves

  • Matthew England, University of Glasgow - Bases and Addition Formulae Associated with Higher Genus Abelian Functions

  • Chris Athorne, University of Glasgow - A Conjecture for Covariant Quadratic Identities in P{ijk} for Hyperelliptic Curves of Arbitrary Genus

  • Chris Eilbeck, Heriot-Watt University - Some Computational Challenges in Abelian Function Theory at Genus 3 and 4

  • John Gibbons, Imperial College London - Explicit Calculation of Some Reductions of the Benney Equations

  • Caroline Kalla, Université de Bourgogne - Quasi-Periodic Solutions of the Davey-Stewartson Equation and the Vector NLS Equation

  • Andrew Hone, University of Kent - Sigma Function Solutions of Bilinear Recurrence Relations

  • Elena Bunkova, Russian Academy of Sciences - Sigma Functions of Genus 2 and their Applications

  • Sergey Shpectorov, University of Birmingham - Parallel Computation of Braid Orbits

  • Andrey Mironov, Sobolev Institute of Mathematics - Commuting Ordinary Differential Operators of Rank 2

Participants

Name
Institution
Chris, AthorneUniversity of Glasgow
Harry, BradenUniversity of Edinburgh
Elena, BunkovaRussian academy of sciences
J. Chris, EilbeckHeriot-Watt University
Matthew, EnglandUniversity of Glasgow
Victor, EnolskiUniversity of Edinburgh
Yury, FedorovPolitecnic university of Catalonia
Allan, FordyUniversity of Leeds
John, GibbonsImperial College
David, GrantUniversity of Colorado at Boulder
Betti, HartmannJacobs University Bremen
Andrew, HoneUniversity of Kent
Valeriya, KagramanovaOldenburg University
Caroline, KallaUniversité de Bourgogne
Christian, KleinInstitut de Mathématiques de Bourgogne
Dmitry, KorotkinConcordia University
Jutta, KunzUniversity of Oldenburg
Claus, LaemmerzahlUniversity Bremen
Andrey, MironovSobolev Institute of Mathematics
Atsushi, NakayashikiKyushu University
Frank, NijhoffUniversity of Leeds
Sophie, NormanUniversity of Glasgow
Yoshihiro, OnishiUniversity of Yamanashi
Emma, PreviatoBoston University
Miles, ReidUniversity of Warwick
Christophe, RitzenhalterIML
Sergey, ShpectorovUniversity of Birmingham
Ian, StrachanUniversity of Glasgow
Chris, SwierczewskiUniversity of Washington
Richard, SzaboHeriot-Watt University
Armando, TreibichUniversite d'Artois