Schedule

All talks will be in Room B3.03, Mathematics department, Zeeman Building (building no. 38 on this map).

pdf version of schedule

8:00-9:15 Registration (in the Mathematics Research Centre office, Zeeman Building).
Coffee in the common room.
9:15-10:15 Brian Conrey (American Institute of Mathematics and Bristol)
"Rank two in the family of quadratic twists of an elliptic curve"
10:15-11:00 Coffee
11:00-12:00 Victor Flynn (Oxford)
"Descent via (3,3)-isogeny on Jacobians of genus 2 curves"
12:00-14:00 Lunch
14:00-15:00 Nils Bruin (Simon Fraser)
"Classgroups and congruent primes" article
15:00-16:00 Tea
16:00-17:00 Damiano Testa (Warwick)
"The Büchi K3 surface and its rational points"
17:00 Reception.
18:00 Dinner.

9:15-10:15 Vladimir Dokchitser (Cambridge)
"Growth of Sha in towers of number fields"
10:15-11:00 Coffee
11:00-12:00 Manjul Bhargava (Princeton)
"Explicit 2-descent and the average size of the 2-Selmer group of Jacobians of odd hyperelliptic curves" slides
12:00-14:00 Lunch
14:00-15:00 Michael Stoll (Bayreuth)
"Many curves with few rational points" slides
15:00-15:30 Tea
15:30-16:00 Shun'ichi Yokoyama (Kyushu)
"A database project of elliptic curves having everywhere good reduction"
16:15-16:45 Werner Bley (LMU München)
"Equivariant BSD conjecture in cyclic p-power extensions"
Evening: Conference Dinner at Baddesley Clinton. Coach departs at 17:15. Returning via Kenilworth to campus around 9:30.

9:15-10:15 Alice Silverberg (UC Irvine)
"Explicit points on a family of Jacobians of superelliptic curves over global function fields"
10:15-11:00 Coffee
11:00-12:00 Wojciech Gajda (Adam Mickiewicz University)
"Abelian varieties over function fields and independence of l-adic representations" slides
12:00-14:00 Lunch
Free Afternoon

9:15-10:15 Karl Rubin (UC Irvine)
"Higher rank Kolyvagin systems"
10:15-11:00 Coffee
11:00-12:00 Christian Wuthrich (Nottingham)
"On the class group pairing on elliptic curves"
12:00-14:00 Lunch
14:00-15:00 Wei Ho (Columbia)
"Average sizes of Selmer groups in families of elliptic curves"
15:00-16:00 Tea
16:00-16:30 Zev Klagsbrun (Wisconsin)
"New results concerning the distribution of 2-Selmer ranks within the quadratic twist family of an elliptic curve" slides
16:45-17:15 Filip Najman (Zagreb)
"Ranks of elliptic curves with prescribed torsion over number fields" slides

9:15-10:15 Sir Peter Swinnerton-Dyer (Cambridge)
"Diagonal hypersurfaces and the Bloch-Kato conjecture" draft write-up
10:15-11:00 Coffee
11:00-12:00 Mark Watkins (Sydney)
"Large ranks of quadratic twists of the congruent number curve" slides
12:00-14:00 Lunch
14:00-14:30 Peter Bruin (Zurich)
"Optimal bounds for the difference between the Néron-Tate height and the Weil height on elliptic curves over \Qbar" slides
14:45-15:15 Alex Bartel (Warwick)
"Elliptic curves whose Selmer groups grow in all 'small' extensions"