Rational points on curves:
A p-adic and computational perspective

September 24-28, 2012
Mathematical Institute, University of Oxford

All talks will be in Lecture Room 1 in the Mathematical Institute, 24-29 St Giles', Oxford.

The sessions in the morning will be chaired by Henri Darmon, and the sessions in the afternoon by Kiran Kedlaya.

8:15 - 9:00	Breakfast in the Hall, Brasenose or Hertford College
9:20 - 9:30	Alan Lauder	Introduction
9:30 - 10:30	Kartik Prasanna	p-adic L-functions and the coniveau filtration on Chow groups
	Coffee/tea break
11:00 - 11:40	Jen Balakrishnan	Applications of explicit Coleman integration on hyperelliptic curves
11:45 - 12:25	Robert Pollack	Families of overconvergent modular symbols
	Lunch
2:20 - 3:00	Xevi Guitart	Numerical computation of Stark-Heegner points in higher level
3:05 - 3:45	John Voight	Semi-arithmetic points
	Coffee/tea break
4:20 - 5:00	Shinichi Kobayashi	The p-adic Gross-Zagier formula at supersingular primes
6:30	Drinks reception, Medieval Kitchen, Brasenose College
7:00	Dinner in Hall, Brasenose College

The sessions in the morning will be chaired by Bruno Chiarellotto, and the sessions in the afternoon by Gabor Wiese.

8:15 - 9:00	Breakfast in the Hall, Brasenose or Hertford College
9:30 - 10:30	Toby Gee	Patching functors and the cohomology of Shimura curves
	Coffee/tea break
11:00 - 12:00	Shin Hattori	Canonical subgroups via Breuil-Kisin modules
	Lunch
2:00 - 2:40	Yuichiro Taguchi	Rational torsion points of abelian varieties over a large extension of a local field
2:45 - 3:25	Steffen Muller	A p-adic BSD conjecture for modular abelian varieties
	Coffee/tea break
4:00 - 4:40	Valentina Di Proietto	On the p-adic invariant cycles theorem
4:45 - 5:25	Francesco Baldassarri	Radius of convergence of p-adic connections and the Berkovich ramification locus

The sessions in the morning will be chaired by Jeehoon Park.

8:15 - 9:00	Breakfast in the Hall, Brasenose or Hertford College
9:15 - 10:15	Glenn Stevens	The Hodge-Tate sequence and overconvergent p-adic modular sheaves
	Coffee/tea break
10:45 - 11:45	Adrian Iovita	An overconvergent Eichler-Shimura isomorphism
11:50 - 12:30	Matt Greenberg	Triple product p-adic L-functions for balanced weights
	Free afternoon
7:00	Conference dinner at Merton College (dress code: smart)

The sessions in the morning will be chaired by Jan Vonk, and the sessions in the afternoon by Bernadette Perrin-Riou.

8:15 - 9:00	Breakfast in the Hall, Brasenose or Hertford College
9:30 - 10:30	Anna Cadoret	l-adic representations of etale fundamental groups of curves
	Coffee/tea break
11:00 - 12:00	Gunther Cornelissen	Recovering curves from L-series
	Lunch
2:00 - 2:40	Victor Rotger	Triple product p-adic L-functions and diagonal cycles
2:45 - 3:25	Massimo Bertolini	p-adic Beilinson's formulas for Rankin p-adic L-functions and applications
	Coffee/tea break
4:00 - 5:00	Samit Dasgupta	Factorization of p-adic Rankin L-series
7:00	Evening meal in the Hall, Hertford College

The sessions in the morning will be chaired by Masato Kurihara, and the sessions in the afternoon by Atsushi Shiho.

8:15 - 9:00	Breakfast in the Hall, Brasenose or Hertford College
9:30 - 10:30	David Loeffler	Euler systems for Rankin-Selberg convolutions of modular forms
	Coffee/tea break
11:00 - 12:00	Pierre Charollois	Eisenstein cocyles on GL_n and computation of p-adic L-functions of totally real fields
	Lunch
2:00 - 3:00	Henri Darmon	p-adic iterated integrals and rational points on elliptic curves
3:05 - 3:45	Alan Lauder	Efficient computation of Rankin p-adic L-functions
	Coffee/tea

8:15 - 9:00

Breakfast in the Hall, Brasenose or Hertford College