Advanced School and Workshop on p-adic Analysis and Applications | (smr 2056) (31 August 2009

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Advanced School and Workshop on p-adic Analysis and Applications | (smr 2056)

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Monday, 31 August 2009

08:30 - 09:30 REGISTRATION & ADMINISTRATIVE FORMALITIES - Reception area of the Leonardo da Vinci Building
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(subsequently in the Secretariat office - room 245, second floor)
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- 08:30 REGISTRATION & ADMINISTRATIVE FORMALITIES - Reception area of the Leonardo da Vinci Building 1h0'
09:30 - 09:45 OPENING SESSION
- 09:30 OPENING SESSION 15'

09:45 - 10:45 Non-Archimedean analytic spaces - 1

09:45 Non-Archimedean analytic spaces - 1 1h0'

Speaker:	Vladimir BERKOVICH (Weizmann Institute)
Material:	lecture notes

10:45 - 11:15 BREAK
- 10:45 BREAK 30'

11:15 - 12:15 Non-Archimedean analytic spaces - 2

11:15 Non-Archimedean analytic spaces - 2 1h0'

Speaker:	Vladimir BERKOVICH (Weizmann Institute)
Material:	lecture notes

12:15 - 14:15 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:15 LUNCH BREAK 2h0'
14:15 - 15:15 P-adic Galois representations and (phi, Gamma)-modules - 1
- 14:15 P-adic Galois representations and (phi, Gamma)-modules - 1 1h0'
  
  Speaker: Laurent BERGER (ENS, Lyon)
15:15 - 15:45 BREAK
- 15:15 BREAK 30'

15:45 - 16:45 P-adic function theory - 1

15:45 P-adic function theory - 1 1h0'

Speaker:	William CHERRY (University of North Texas)
Material:	lecture notes

Tuesday, 1 September 2009

09:30 - 10:30 P-adic Galois representations and (phi, Gamma)-modules - 2
- 09:30 P-adic Galois representations and (phi, Gamma)-modules - 2 1h0'
  
  Speaker: Laurent BERGER (ENS, Lyon)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'

11:00 - 12:00 Non-Archimedean analytic spaces - 3

11:00 Non-Archimedean analytic spaces - 3 1h0'

Speaker:	Vladimir BERKOVICH (Weizmann Institute)
Material:	lecture notes

12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'
14:00 - 15:00 P-adic Hodge theory - 1
- 14:00 P-adic Hodge theory - 1 1h0'
  
  Speaker: Jean-Marc FONTAINE (Paris-Sud)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'

15:30 - 16:30 P-adic function theory - 2

15:30 P-adic function theory - 2 1h0'

Speaker:	William CHERRY (University of North Texas)
Material:	lecture notes

19:00 - 22:00 WELCOME RECEPTION

Location: Leonardo da Vinci Building Terrace
- 19:00 WELCOME RECEPTION 3h0'

Wednesday, 2 September 2009

09:00 - 10:00 Non-Archimedean analytic spaces - 4

09:00 Non-Archimedean analytic spaces - 4 1h0'

Speaker:	Vladimir BERKOVICH (Weizmann Institute)
Material:	lecture notes

10:00 - 10:30 BREAK
- 10:00 BREAK 30'
10:30 - 11:30 P-adic Galois representations and (phi, Gamma)-modules - 3
- 10:30 P-adic Galois representations and (phi, Gamma)-modules - 3 1h0'
  
  Speaker: Laurent BERGER (ENS, Lyon)
11:30 - 11:45 Discussion
- 11:30 Discussion 15'
11:45 - 12:45 P-adic Hodge theory - 2
- 11:45 P-adic Hodge theory - 2 1h0'
  
  Speaker: Jean-Marc FONTAINE (Paris-Sud)
12:45 - 14:15 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:45 LUNCH BREAK 1h30'

Thursday, 3 September 2009

09:30 - 10:30 P-adic Galois representations and (phi, Gamma)-modules - 4
- 09:30 P-adic Galois representations and (phi, Gamma)-modules - 4 1h0'
  
  Speaker: Laurent BERGER (ENS, Lyon)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'

11:00 - 12:00 P-adic function theory - 3

11:00 P-adic function theory - 3 1h0'

Speaker:	William CHERRY (University of North Texas)
Material:	lecture notes

12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'
14:00 - 15:00 P-adic Hodge theory - 3
- 14:00 P-adic Hodge theory - 3 1h0'
  
  Speaker: Jean-Marc FONTAINE (Paris-Sud)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'

15:30 - 16:30 Non-Archimedean analytic spaces - 5

15:30 Non-Archimedean analytic spaces - 5 1h0'

Speaker:	Vladimir BERKOVICH (Weizmann Institute)
Material:	lecture notes

Friday, 4 September 2009

09:30 - 10:30 P-adic function theory - 4
- 09:30 P-adic function theory - 4 1h0'
  
  Speaker: William CHERRY (University of North Texas)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'

11:00 - 12:00 Non-Archimedean analytic space - 6

11:00 Non-Archimedean analytic space - 6 1h0'

Speaker:	Vladimir BERKOVICH (Weizmann Institute)
Material:	lecture notes

12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'
14:00 - 15:00 P-adic Hodge theory - 4
- 14:00 P-adic Hodge theory - 4 1h0'
  
  Speaker: Jean-Marc FONTAINE (Paris-Sud)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'
15:30 - 16:30 P-adic Hodge theory - 5
- 15:30 P-adic Hodge theory - 5 1h0'
  
  Speaker: Jean-Marc FONTAINE (Paris-Sud)

Monday, 7 September 2009

08:30 - 09:30 REGISTRATION & ADMINISTRATIVE FORMALITIES - Secretariat office, room 245, second floor
- 08:30 REGISTRATION & ADMINISTRATIVE FORMALITIES - Secretariat office, room 245, second floor 1h0'
09:30 - 10:30 The p-adic Langlands correspondence for GL(2) - 1
- 09:30 The p-adic Langlands correspondence for GL(2) - 1 1h0'
  
  Speaker: Pierre COLMEZ (Paris-Jussieu)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'
11:00 - 12:00 P-divisible groups and Harder-Narasimhan filtrations - 1
- 11:00 P-divisible groups and Harder-Narasimhan filtrations - 1 1h0'
  
  Speaker: Laurent FARGUES (Paris-Sud)
12:00 - 14:00 LUNCH BREAK
- 12:00 LUNCH BREAK 2h0'
14:00 - 15:00 P-divisible groups and Harder-Narashimhan filtrations - 2
- 14:00 P-divisible groups and Harder-Narashimhan filtrations - 2 1h0'
  
  Speaker: Laurent FARGUES (Paris-Sud)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'

15:30 - 16:30 Introduction to locally analytic representation theory

15:30 Introduction to locally analytic representation theory 1h0'

Speaker:	Matthias STRAUCH (Indiana University)
Material:	lecture notes

Tuesday, 8 September 2009

09:00 - 10:00 The p-adic Langlands correspondence for GL(2) - 2
- 09:00 The p-adic Langlands correspondence for GL(2) - 2 1h0'
  
  Speaker: Pierre COLMEZ (Paris-Jussieu)
10:00 - 10:30 BREAK
- 10:00 BREAK 30'
10:30 - 11:30 The p=adic Langlands correspondence for GL(2) - 3
- 10:30 The p=adic Langlands correspondence for GL(2) - 3 1h0'
  
  Speaker: Pierre COLMEZ (Paris-Jussieu)
11:30 - 11:45 Discussion
- 11:30 Discussion 15'

11:45 - 12:45 P-adic L-functions and modular forms

11:45 P-adic L-functions and modular forms 1h0'

Speaker:	Alexei PANCHISHKIN (University of Grenoble)
Material:	lecture notes

12:45 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:45 LUNCH BREAK 1h15'
14:00 - 15:00 P-divisible groups and Harder-Narasimhan filtrations - 3
- 14:00 P-divisible groups and Harder-Narasimhan filtrations - 3 1h0'
  
  Speaker: Laurent FARGUES (Paris-Sud)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'

15:30 - 16:30 Introduction to locally analytic representation theory - 2

15:30 Introduction to locally analytic representation theory - 2 1h0'

Speaker:	Matthias STRAUCH (Indiana University)
Material:	lecture notes

Wednesday, 9 September 2009

09:00 - 10:00 P-divisible groups and Harder-Narasimhan filtrations - 4
- 09:00 P-divisible groups and Harder-Narasimhan filtrations - 4 1h0'
  
  Speaker: Laurent FARGUES (Paris-Sud)
10:00 - 10:30 BREAK
- 10:00 BREAK 30'
10:30 - 11:30 The p-adic Langlands correspondence for GL(2) - 4
- 10:30 The p-adic Langlands correspondence for GL(2) - 4 1h0'
  
  Speaker: Pierre COLMEZ (Paris-Jussieu)
11:30 - 11:45 Discussion
- 11:30 Discussion 15'

11:45 - 12:45 P-adic L-functions and modular forms - 2

11:45 P-adic L-functions and modular forms - 2 1h0'

Speaker:	Alexei PANCHISHKIN (University of Grenoble)
Material:	lecture notes

12:45 - 14:15 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:45 LUNCH BREAK 1h30'

Thursday, 10 September 2009

09:30 - 10:30 Introduction to locally analytic representation theory - 3

09:30 Introduction to locally analytic representation theory - 3 1h0'

Speaker:	Matthias STRAUCH (Indiana University)
Material:	lecture notes

10:30 - 11:00 BREAK
- 10:30 BREAK 30'

11:00 - 12:00 P-adic L-functions and modular forms - 3

11:00 P-adic L-functions and modular forms - 3 1h0'

Speaker:	Alexei PANCHISHKIN (University of Grenoble)
Material:	lecture notes

12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'
14:00 - 15:00 Completed cohomology and the p-adic Langlands programme - 1
- 14:00 Completed cohomology and the p-adic Langlands programme - 1 1h0'
  
  Speaker: Matthew EMERTON (Northwestern University)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'
15:30 - 16:30 Completed cohomology and the p-adic Langlands programme - 2
- 15:30 Completed cohomology and the p-adic Langlands programme - 2 1h0'
  
  Speaker: Matthew EMERTON (Northwestern University)

Friday, 11 September 2009

09:30 - 10:30 P-adic L-functions and modular forms - 4

09:30 P-adic L-functions and modular forms - 4 1h0'

Speaker:	Alexei PANCHISHKIN (University of Grenoble)
Material:	lecture notes

10:30 - 11:00 BREAK
- 10:30 BREAK 30'

11:00 - 12:00 Introduction to locally analytic representation theory - 4

11:00 Introduction to locally analytic representation theory - 4 1h0'

Speaker:	Matthias STRAUCH (Indiana University)
Material:	lecture notes

12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'
14:00 - 15:00 Completed cohomology and the p-adic Langlands programme - 3
- 14:00 Completed cohomology and the p-adic Langlands programme - 3 1h0'
  
  Speaker: Matthew EMERTON (Northwestern University)
15:00 - 15:30 BREAK
- 15:00 BREAK 30'
15:30 - 16:30 Completed cohomology and the p-adic Langlands programme - 4
- 15:30 Completed cohomology and the p-adic Langlands programme - 4 1h0'
  
  Speaker: Matthew EMERTON (Northwestern University)

Monday, 14 September 2009
- 08:30 - 09:30 REGISTRATION & ADMINISTRATIVE FORMALITIES Secretariat office, room 245, second floor
  - 08:30 REGISTRATION & ADMINISTRATIVE FORMALITIES Secretariat office, room 245, second floor 1h0'
- 09:30 - 10:30 Vector bundles and p-adic Galois representations- 1
  - 09:30 Vector bundles and p-adic Galois representations- 1 1h0'
    
    Speaker: Jean-Marc FONTAINE (Paris-Sud)
- 10:30 - 11:00 BREAK
  - 10:30 BREAK 30'
- 11:00 - 12:00 On Jordan-Hoelder series of some locally analytic representations
  - 11:00 On Jordan-Hoelder series of some locally analytic representations 1h0'
    
    Speaker: Sascha ORLIK (University of Bonn)
- 12:00 - 14:00 LUNCH BREAK
  
  Location: Leonardo da Vinci Building Cafeteria
  - 12:00 LUNCH BREAK 2h0'
- 14:00 - 15:00 Bounded cohomology of p-adic symmetric domains and boundary values
  - 14:00 Bounded cohomology of p-adic symmetric domains and boundary values 1h0'
    
    Speaker: Ehud de SHALIT (Hebrew University)
- 15:00 - 15:30 BREAK
  - 15:00 BREAK 30'
- 15:30 - 16:30 Local closed subrepresentations of parabolically induced representations
  - 15:30 Local closed subrepresentations of parabolically induced representations 1h0'
    
    Speaker: Matthew EMERTON (Northwestern University)

Tuesday, 15 September 2009

09:30 - 10:30 Inseparable local uniformization and analytic fields
- 09:30 Inseparable local uniformization and analytic fields 1h0'
  
  Speaker: Michael TEMKIN (IAS, Princeton)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'
11:00 - 12:00 An application of Berkovich spaces to the inverse Galois problem
- 11:00 An application of Berkovich spaces to the inverse Galois problem 1h0'
  
  Speaker: Jerome POINEAU (University of Strasbourg)
12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'

14:00 - 15:00 Tropical analytic geometry and the Bogomolov conjecture

14:00 Tropical analytic geometry and the Bogomolov conjecture 1h0'

Speaker:	Walter GUBLER (University of Southampton)
Material:	lecture notes

15:00 - 15:30 BREAK
- 15:00 BREAK 30'
15:30 - 16:30 Triangulation of analytic curves and semi-stable reduction
- 15:30 Triangulation of analytic curves and semi-stable reduction 1h0'
  
  Speaker: Antoine DUCROS (Paris VI)

Wednesday, 16 September 2009

09:30 - 10:30 Integration of one-forms on p-adic analytic spaces
- 09:30 Integration of one-forms on p-adic analytic spaces 1h0'
  
  Speaker: Vladimir BERKOVICH (Weizmann Institute)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'

11:00 - 12:00 P-adic Nevanlinna and Applications

11:00 P-adic Nevanlinna and Applications 1h0'

Speaker:	HA HUY KHOAI (Institute of Mathematics, Hanoi)
Material:	lecture notes

12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'

Thursday, 17 September 2009

09:30 - 10:30 The canonical subgroup in any level
- 09:30 The canonical subgroup in any level 1h0'
  
  Speaker: Laurent FARGUES (Paris-Sud)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'
11:00 - 12:00 Vector bundles and p-adic Galois representations- 2
- 11:00 Vector bundles and p-adic Galois representations- 2 1h0'
  
  Speaker: Jean-Marc FONTAINE (Paris-Sud)
12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'

14:00 - 15:00 Differential equations on p-adic curves

14:00 Differential equations on p-adic curves 1h0'

Speaker:	Francesco BALDASSARRI (University of Padova)
Material:	lecture notes

15:00 - 15:30 BREAK
- 15:00 BREAK 30'

15:30 - 16:30 Character spaces for locally analytic tori

15:30 Character spaces for locally analytic tori 1h0'

Speaker:	Tobias SCHMIDT (University of Muenster)
Material:	abstract

Friday, 18 September 2009

09:30 - 10:30 New p-adic families of Siegel modular forms and conjectures on modularity lifting
- 09:30 New p-adic families of Siegel modular forms and conjectures on modularity lifting 1h0'
  
  Speaker: Alexei PANCHISHKIN (University of Grenoble)
10:30 - 11:00 BREAK
- 10:30 BREAK 30'
11:00 - 12:00 On the homotopy exact sequence for Nori's fundamental group
- 11:00 On the homotopy exact sequence for Nori's fundamental group 1h0'
  
  Speaker: PHUNG Ho Hai (Institute of Mathematics, Hanoi)
12:00 - 14:00 LUNCH BREAK

Location: Leonardo da Vinci Building Cafeteria
- 12:00 LUNCH BREAK 2h0'

14:00 - 15:00 P-adic spherical coordinates and applications

14:00 P-adic spherical coordinates and applications 1h0'

Speaker:	Anatoly KOCHUBEI (Institute of Mathematics, Kiev)
Material:	lecture notes

15:00 - 15:30 BREAK
- 15:00 BREAK 30'

15:30 - 16:30 Algebraic degeneracy of non-Archimedean analytic maps omitting divisors with sufficiently many components

15:30 Algebraic degeneracy of non-Archimedean analytic maps omitting divisors with sufficiently many components 1h0'

Speaker:	William CHERRY (University of North Texas)
Material:	lecture notes

16:30 - 16:45 CLOSING SESSION
- 16:30 CLOSING SESSION 15'