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Durham Cathedral

London Mathematical Society Durham Symposium
L-functions and Galois representations
Monday 19th July - Friday 30th July 2004


Courses

(A)Local Langlands programme
(B)Local p-adic Galois representations
(C)Modularity of Galois representations
(D)Automorphic forms and Selmer groups
(E)p-adic modular forms and eigenvarieties
(F)André-Oort conjecture

Programme

All lectures take place in room CG93 (the Scarborough lecture theatre). Coffee and Tea are served in CM105. Meals are taken at Grey College.
Monday 19th July
14:00Registration in Hollingside JCR - closes at Dinner
19:00Dinner
Tuesday 20th July
09:45-10:45K. RubinSelmer modules and skew-Hermitian matrices
10:45Coffee/Tea
11:15-12:15F. DiamondC1: Introduction: The Taylor-Wiles method
12:45Lunch - Grey College
14:30-15:30S. KudlaA1: Complex representations of GL(2,R)
15:30Coffee/Tea
16:00-17:00A. GoncharovMotivic fundamental group of Gm - mN and geometry of modular varieties
17:15-18:15J. TilouineC2: Taylor-Wiles systems for GSp(4)
20:00Wine Reception (after dinner)
Wednesday 21st July
09:45-10:45W. NiziolA proof of the Semistable conjecture
10:45Coffee/Tea
11:15-12:15G. HenniartA2: Complex representations of GL(2) over a non-Archimedean local field
12:45Lunch - Grey College
13:50Conference Photograph
14:30-15:30P. SchneiderIs there a Gersten conjecture for Iwasawa algebras?
15:30Coffee/Tea
16:00-17:00E. UrbanD1: p-adic deformation of some reducible Galois representations
17:15-18:15M-F. VignerasModular representations of GL(2) over a non-Archimedean
Thursday 22nd July
09:45-10:45C. BreuilA4: p-adic representations of GL(2,Qp) and modular forms
10:45Coffee/Tea
11:15-12:15M. EmertonE1: Locally analytic representation theory and the p-adic interpolation of automorphic forms and L-functions I
12:45Lunch - Grey College
14:30-15:30D. UlmerGeometric non-vanishing
15:30Coffee/Tea
16:00-17:00A. MézardA5: Reduction modulo p of p-adic representations of GL(2,Qp)
17:15-18:15M. BertoliniHida families and the arithmetic of elliptic curves
Friday 23rd July
09:45-10:45O. VenjakobThe GL(2) main conjecture for elliptic curves without complex multiplication
10:45Coffee/Tea
11:15-12:15M. EmertonE2: Locally analytic representation theory and the p-adic interpolation of automorphic forms and L-functions II
12:45Lunch - Grey College
14:30Cathedral visit
Saturday 24th July
09:45-10:45F. DiamondWeights of mod p Hilbert modular forms
10:45Coffee/Tea
11:15-12:15L. BergerB1: p-adic differential equations and filtered (f,N)-modules
12:45Lunch - Grey College
14:30-15:30A. YafaevF1: The André-Oort conjecture I
15:30Coffee/Tea
16:00-17:00P. ColmezA6: Local p-adic Langlands correspondence for 2-dimensional semi-stable representations
17:15-18:15L. ClozelF2: The André-Oort conjecture II
Sunday 25th July
09:00Day trip to Robin Hood's Bay and Whitby
Monday 26th July
09:45-10:45K. BuzzardE3: An eigenvariety machine
10:45Coffee/Tea
11:15-12:15I. FesenkoThe boundary term in the zeta integral of an elliptic surface
12:45Lunch - Grey College
14:30-15:30M. KisinC3: Moduli of finite flat group schemes and modularity
15:30Coffee/Tea
16:00-17:00M. KuriharaSome aspects of Iwasawa theory of elliptic curves with supersingular reduction
17:15-18:15J. BellaicheD2: Geometry of eigenvarieties at reducible anti-ordinary points and rank of Selmer groups
Tuesday 27th July
09:45-10:45C. KhareC4: New proofs of modularity lifting theorems
10:45Coffee/Tea
11:15-12:15C. CornutEquidistribution of CM points on Shimura curves
12:45Lunch - Grey College
14:30-15:30P. ColmezB2: A strange skew field
15:30Coffee/Tea
16:00-17:00H. HidaD3: Some cases of the anti-cyclotomic main conjecture for general CM fields
17:15-18:15M. SpiessOn certain twists of Stuhler's modular varieties
Wednesday 28th July
09:45-10:45S.-W. ZhangThe Euler system of CM-points on Shimura curves
10:45Coffee/Tea
11:15-12:15J.-M. FontaineB3: de Rham and semi-stable p-adic representations
12:45Lunch - Grey College
14:30-15:30S. KudlaOn the nonvanishing of the arithmetic theta lift
15:30Coffee/Tea
16:00-17:00K. FujiwaraC5: R=T and the geometry of Shimura varieties
17:15-18:15F. CalegariE4: The topography of the eigencurve
19:00Drinks in Grey JCR followed by the Conference dinner at 19:30
Thursday 29th July
09:45-10:45B. HowardThe Iwasawa theoretic Gross-Zagier theorem
10:45Coffee/Tea
11:15-12:15J. NekovářParity of ranks of Selmer groups associated to Hilbert modular forms
12:45Lunch - Grey College
14:30-15:30D. BurnsCongruences between derivatives of motivic L-functions
15:30Coffee/Tea
16:00-17:00E. UrbanE5: Eigenvarieties and twisted eigenvarieties
17:15-18:15T. SaitoThe Euler-Poincaré characteristic of an l-adic sheaf on a variety
Friday 30th July
Departure after breakfast