Description PARTICIPANTS WHO ALREADY REGISTERED FOR SMR 3175 ARE NOT REQUESTED TO REGISTER AGAIN.

ONLY NEW ARRIVALS SHOULD REGISTER AS PER PROCEDURES BELOW:

Visitors accommodated in the ICTP Guest Houses: 
Registration will be done upon check-in at the Guest House reception desk.
AFTER REGISTRATION,  visitors receiving financial support from the ICTP, should go to the Operations & Travel Unit office at the Enrico Fermi Building, first floor. Please make sure you check Operations office working hours. 
 
Visitors NOT accommodated in the ICTP Guest Houses, Lecturers and Speakers:
Please register with the Secretariat in office no. 1 at the
Adriatico Guest House, lower level 1

 
Associateship/Federation scheme Visitors should register at the
Leonardo Building, first floor, rooms 112 / 114 / 118

Upon your arrival, please make sure to pick up your Conference Folder
in your mailbox at the Adriatico Guest House, lower level 1.
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Hyperelliptic curves are a fundamental class of polynomial equations, that are rapidly becoming a major topic in number theory. Demands for the theory are coming both from within pure mathematics (such as the pioneering work or Bhargava and his collaborators, and the Langlands programme, which needs a supply of high-dimensional Galois representations), as well as from areas bordering to theoretical physics (via hypergeometric motives) and from cryptography, where one of the main methods for modern data encryption is based on hyperelliptic curves. The workshop will focus on the most recent developments in the arithmetic of hyperelliptic curves, including the above mentioned four topics, point counting techniques, distribution of locally soluble curves, hypergeometric motives, generalisations of Chabauty's method, Selmer ranks of Jacobians, etc.
Go to day
  • Monday, 4 September 2017
    • 09:00 - 17:30 Monday, 4 September
      • 09:00 Explicit Coleman integration for curves 50'
        Speaker: Jennifer Balakrishnan
      • 09:50 Registration of new arrivals/Project presentations from the summer school 10'
        workshop participants are welcome to attend project presentations 
      • 10:00 project presentation: Elliptic curves with rational 16-torsion 20'
      • 10:30 project presentation: Generic rank of a family of elliptic curves 20'
      • 11:10 project presentation: Szpiro's constants, the hyperelliptic case 20'
      • 11:40 project presentation: Detecting good and bad reduction of curves 20'
      • 12:00 Lunch break 2h45' ( )
      • 14:45 Official Welcome 15'
        Speaker: Fernando Rodriguez Villegas (ICTP, Italy)
      • 15:00 New points on algebraic curves 50'
        Speaker: Qing Liu
      • 15:50 Coffee break 20' ( )
      • 16:30 A heuristic for boundedness of elliptic curves 50'
        Speaker: Jennifer Park
  • Tuesday, 5 September 2017
    • 09:00 - 21:00 Tuesday, 5 September
      • 09:00 Arithmetic of hyperelliptic curves over local fields 20'
        Speaker: Vladimir Dokchitser
      • 09:30 Parity of ranks of abelian surfaces 20'
        Speaker: Celine Maistret
      • 10:00 Computing Tamagawa numbers of hyperelliptic curves 20'
      • 10:20 Coffee break 40' ( )
      • 11:00 Arakelov geometry of hyperelliptic curves 50'
        Speaker: David Holmes
      • 12:00 Lunch break 2h30' ( )
      • 14:30 Odd degree number fields with odd class number 50'
        Speaker: Wei Ho
      • 15:30 Root Numbers of Abelian Varieties 20'
        Speaker: Matthew Bisatt
      • 15:50 Coffee break 40'
      • 16:30 The inverse Galois problem for symplectic groups 20'
        Speaker: Samuele Anni
      • 17:00 Models of curves 20'
        Speaker: Tim Dokchitser
      • 19:00 Reception 2h0' ( Cafeteria, Adriatico Guest House )
        Offered by University of Bristol, UK
  • Wednesday, 6 September 2017
    • 09:00 - 12:00 Wednesday, 6 September
      • 09:00 Density of rational points on rational elliptic surfaces 20'
        Speaker: Julie Desjardins
      • 09:30 Higher Eisenstein elements in weight 2 and prime level 20'
        Speaker: Emmanuel Lecouturier
      • 09:50 Explicit modularity for typical genus 2 curves 20'
        Speaker: Gonzalo Tornaria
      • 10:20 Coffee break 40' ( )
      • 11:00 Explicit modularity for atypical genus 2 curves 50'
        Speaker: John Voight
  • Thursday, 7 September 2017
    • 09:00 - 17:30 Thursday, 7 September
      • 09:00 Parity of Selmer ranks in quadratic twist families 20'
        Speaker: Adam Morgan
      • 09:30 Visualizing elements of order 7 in the Tate-Shafarevich group of an elliptic curve 20'
        Speaker: Tom Fisher
      • 10:00 Numerical verification of the Birch and Swinnerton-Dyer conjecture 20'
        Speaker: Raymond van Bommel
      • 10:20 Coffee break 40' ( )
      • 11:00 Canonical heights on Jacobians of curves of genus two 50'
        Speaker: Steffen Mueller
      • 12:00 Lunch break 2h30' ( )
      • 14:30 An inverse Hodge problem and some solutions from hypergeometric motives 50'
        Speaker: David Roberts
      • 15:30 Hypergeometric motives of low degrees and their connection to elliptic and hyperelliptic curves 20'
        Speaker: Bartosz Naskrecki
      • 15:50 Coffee break 40' ( )
      • 16:30 Computing twists of hyperelliptic curves 20'
        Speaker: Davide Lombardo
      • 17:00 TBC 20'
        Speaker: Fernando Rodriguez Villegas
  • Friday, 8 September 2017
    • 09:00 - 16:30 Friday, 8 September
      • 09:00 Rational points on hyperelliptic curves  via the Chabauty-Kim method 20'
        Speaker: Netan Dogra
      • 09:30 Arithmetic of hyperelliptic curves in Magma 20'
        Speaker: Michael Stoll
      • 10:00 Databases of curves 20'
        Speaker: Jeroen Sijsling
      • 10:20 Coffee break 40' ( )
      • 11:00 L-functions via deformations: from  hyperelliptic curves to hypergeometric motives 50'
        Speaker: Kiran Kedlaya
      • 12:00 Lunch break 2h0' ( )
      • 14:00 Computing L-series of hyperelliptic curves 50'
        Speaker: Andrew Sutherland
      • 15:40 Coffee break 25' ( )