Lorentz Center - Frobenius lifts from 5 Oct 2009 through 9 Oct 2009
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    Frobenius lifts
    from 5 Oct 2009 through 9 Oct 2009

 
Monday, October 5, 2009

Monday, October 5, 2009

 

09:00 09:45 Arrival, registration, office assignment

09:45 10:00 Welcome by Lorentz Center and organizers

 

10:00 11:00 Buium: Arithmetic ODEs, I: main concepts and general results

11:00 11:30 Coffee and informal discussions

11:30 12:30 Cartier: The structure of discrete valuation rings and the Witt vectors in characteristic p

 

12:30 15:00 Lunch break and informal discussions

 

15:00 16:00 Cartier: Symmetric functions, representations of symmetric groups and the big Witt ring

16:00 16:30 Tea break and informal discussions

16:30 17:30 Borger: The affine categorical package: Lambda-rings, Witt vectors, and adjoints

17:30 Wine & Cheese party in the Common Room

 

 

Tuesday, October 6, 2009

 

09:30 10:30 Cartier: Endomorphism ring of the big Witt ring. Unipotent group schemes

10:30 11:00 Coffee and informal discussions

11:00 12:00 Buium: Arithmetic ODEs, II: the case of modular curves

 

12:00 15:00 Lunch break and informal discussions

 

15:00 16:00 Cartier: Decomposition of the big Witt ring over the prime numbers. Hasse-Witt exponential

16:00 16:30 Tea break and informal discussions

16:30 17:30 Hesselholt: Definition and very basic properties of the de Rham-Witt complex

 

 

Wednesday, October 7, 2009

 

09:30 10:30 Borger: Lambda-structures and arithmetic jet spaces in the non-affine case

10:30 11:00 Coffee and informal discussions

11:00 12:00 Hesselholt: The de Rham-Witt complex and polynomial extensions

 

12:00 15:00 Lunch break and informal discussions

 

15:00 16:00 Buium: Arithmetic PDEs of hyperbolic and parabolic type

 

16:30 Departure bus to the boat

17:00 21:00 Boat trip on the Kaag Lakes with dinner on board

21:00 Departure bus back to Lorentz Center, Bastion hotel ...

 

 

Thursday, October 8, 2009

 

09:30 10:30 Hesselholt: The Deligne-Illusie construction of the de Rham-Witt complex and etale descent

10:30 11:00 Coffee and informal discussions

11:00 12:00 Scanlon: Frobenius lifts in first-order logic

 

12:00 15:00 Lunch break and informal discussions

 

15:00 16:00 Borger: Lambda-algebraic geometry as absolute algebraic geometry I

16:00 16:30 Tea break and informal discussions

16:30 17:30 Buium: Arithmetic PDEs of elliptic type

 

 

Friday, October 9, 2009

 

09:30 10:30 Davis: The Overconvergent de Rham-Witt Complex

10:30 11:00 Coffee and informal discussions

11:00 12:00 Hesselholt: The de Rham-Witt complex of a smooth scheme over a complete discrete valuation ring of mixed characteristic and p-adic vanishing cyles

 

12:00 14:00 Lunch break and informal discussions

 

14:00 15:00 Borger: Lambda-algebraic geometry as absolute algebraic geometry II

 

 



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