Effective methods in p-adic cohomology

March 15-19, 2010
Mathematical Institute, University of Oxford

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

5:30 - 7:00	Drinks reception in the Old Library, Hertford College
7:00	Evening meal in the Old Hall, Hertford College

The sessions in the morning will be chaired by Kiran Kedlaya, and the sessions in the afternoon by Daqing Wan.

8:15 - 9:00	Breakfast in the Hall, Hertford College
9:20 - 9:30	Alan Lauder	Introduction
9:30 - 10:30	Daqing Wan	Counting points on hypersurfaces: algorithms and complexity
	Coffee/tea break
11:00 - 11:40	Kira Samol	Dwork congruences for reflexive polytopes
11:40 - 12:20	Fernando Rodriguez-Villegas	Hypergeometric motives
	Lunch
2:00 - 2:30	Jan Tuitman	Counting points in families of non-degenerate curves
2:30 - 3:30	Remke Kloosterman	The average ranks of elliptic 3-folds and the zeta function of singular hypersurfaces
	Coffee/tea break
4:00 - 4:30	Wouter Castryck	The number of moduli of non-degenerate curves
4:30 - 5:00	Problem session 1
6:15	Evening meal in the Hall, Hertford College

The sessions in the morning will be chaired by Bruno Chiarellotto, and the sessions in the afternoon by Alan Lauder.

8:15 - 9:00	Breakfast in the Hall, Hertford College
9:30 - 10:30	Amnon Besser	Deformation techniques for computation of Coleman integrals
	Coffee/tea break
11:00 - 11:30	Jen Balakrishnan	Local heights on hyperelliptic curves
11:30 - 12:10	David Harvey	Computing zeta functions of certain varieties in larger characteristic
	Lunch
2:00 - 2:45	Hendrik Hubrechts	Solving p-adic differential equations in point counting algorithms
2:45 - 3:30	Anton Mellit	Computing Frobenius traces in a non-hypergeometric family
	Coffee/tea break
4:00 - 5:00	Nobuo Tsuzuki	Logarithmic growth and Frobenius slopes
	Dinner

The sessions in the morning will be chaired by Damiano Testa.

8:15 - 9:00	Breakfast in the Hall, Hertford College
10:00 - 11:00	Pierre Berthelot	Rational points over finite fields for regular models of algebraic varieties of Hodge level at least 1
	Coffee/tea break
11:30 - 12:10	George Walker	Minimalism on elliptic curves
12:10 - 12:50	Laurent Berger	Computing the reduction of some p-adic representations
	Free afternoon
7:15	Conference dinner at St. John's College (dress code: smart)

The sessions in the morning will be chaired by Michel Gros, and the sessions in the afternoon by Kiran Kedlaya.

8:15 - 9:00	Breakfast in the Hall, Hertford College
9:30 - 10:30	Francesco Baldassarri	Convergence polygon of a connection and differential Grothendieck-Ogg-Shafarevich formula for coverings of p-adic analytic curves
	Coffee/tea break
11:00 - 11:40	Ilya Shapiro	Frobenius maps for quintic threefolds
11:40 - 12:20	J.D. Yu	Ordinary crystals with logarithmic poles
	Lunch
2:00 - 2:40	Noriyuki Suwa	Around the Artin-Hasse exponential series
2:40 - 3:30	Problem session 2
	Coffee/tea break
4:00 - 5:00	Rob de Jeu	Valuations of p-adic L-functions and multiplicative Euler characteristics in etale cohomology
6:15	Evening meal in the Hall, Hertford College

The sessions in the morning will be chaired by Richard Crew, and the sessions in the afternoon by Jan Stienstra.

8:15 - 9:00	Breakfast in the Hall, Hertford College
9:30 - 10:30	Bernard le Stum	Towards an overconvergent Deligne-Kashiwara correspondence
	Coffee/tea break
11:00 - 11:40	Doug Haessig	Relative Dwork cohomology of nondegenerate exponential sums
11:40 - 12:20	Philip Candelas	The zeta function for the quintic threefold and speculations on mirror symmetry
	Lunch
2:00 - 2:45	Alan Lauder	Degenerations and limit Frobenius structures in rigid cohomology
2:45 - 3:15	Sebastian Pancratz	Fast reduction in the algebraic de Rham cohomology of hypersurfaces
	Coffee/tea break
3:45 - 4:45	Kiran Kedlaya	Getting precise about precision
6:15	Evening meal at the Graduate Centre

8:15 - 9:00

Breakfast in the Hall, Hertford College, or the Graduate Centre