Intersection arithmétique de cycles
et formes modulaires

Intersection of Arithmetic Cycles
and Automorphic Forms

Salle / Room 6214
Pavillon André-Aisenstadt

12 au 16 décembre / December 12-16, 2005

PROGRAMME

Lundi 12 décembre / Monday, December 12

09:00 - 09:45

Registration (Room 5345) and Coffee (Room 6245)

09:45 - 10:00

Mot de bienvenue / Welcoming address
10:00 - 10:50
J. Bruinier
"Borcherds products and Green functions"

10:50 - 11:10

Pause / Coffee (Salle / Room 6245)
11:10 - 12:00
S. Kudla
"Generating series for arithmetic cycles"
14:00 - 14:40
J. Kramer
"Mini course on Arakelov Geometry I"

14:40 - 15:00

Pause / Coffee (Salle / Room 6245)
15:00 - 15:40
K. Bringmann
"Arithmetic properties of coefficients of Maass
Poincare series of half-integral weight
"

15:40 - 16:00

Pause / Coffee (Salle / Room 6245)
16:00 - 16:25
J. Getz
"Hilbert modular generating functions with coefficients
in intersection homology
"

16:25 - 16:35

Pause / Break
16:35 - 17:00
D. Helm
"A Deligne-Rapoport model for U(2) Shimura varieties"

Mardi 13 décembre / Tuesday, December 13

09:30
Café / Coffee (Salle / Room 6245)
10:00 - 10:50
B. Conrad
"Deformation theory and local intersection numbers"

10:50 - 11:10

Pause / Coffee (Salle / Room 6245)
11:10 - 12:00
S.-W. Zhang
"Generic Abelian Varieties are not Jacobians"
14:00 - 14:40
J. I. Burgos Gil
"Mini course on Arakelov Geometry II"

14:40 - 15:00

Pause / Coffee (Salle / Room 6245)
15:00 - 15:40
K. Lauter
"Intersection of CM points with the reducible locus on
the Siegel moduli space
"

15:40 - 16:00

Pause / Coffee (Salle / Room 6245)
16:00 - 16:25
S. Dasgupta
"Shintani zeta-functions and Gross-Stark units for
totally real fields
"

16:25 - 16:35

Pause / Break
16:35 - 17:00
B. Howard
"Interpolation of Heegner points in Hida families"

Mercredi 14 décembre / Wednesday, December 14

09:30
Café / Coffee (Salle / Room 6245)
10:00 - 10:50
J. Bruinier
"Arithmetic intersection theory and Hilbert modular
surfaces
"

10:50 - 11:10

Pause / Coffee (Salle / Room 6245)
11:10 - 12:00
S. Kudla
"The modular generating function for 0-cycles on an
arithmetic surface
"
14:00 - 14:40
U. Kühn
"Mini course on Arakelov Geometry III"

14:40 - 15:00

Pause / Coffee (Salle / Room 6245)
15:00 - 15:40
A. Raghuram
"Special values of symmetric power L-functions"

15:40 - 16:00

Pause / Coffee (Salle / Room 6245)
16:00 - 16:25
P. Jenkins
"p-adic properties of traces of singular moduli"

16:25 - 16:35

Pause / Break
16:35 - 17:00
H. Darmon
"A Gross-Kohnen-Zagier Theorem for Stark-Heegner points"

Jeudi 15 décembre / Thursday, December 15

09:30
Café / Coffee (Salle / Room 6245)
10:00 - 10:50
B. Conrad
"Deformation theory and self-intersection numbers"

10:50 - 11:10

Pause / Coffee (Salle / Room 6245)
11:10 - 12:00
S.-W. Zhang
"Period integrals and special values of L-functions"
14:00 - 14:40
B. Klingler
"On the Andre-Oort conjecture"

14:40 - 15:00

Pause / Coffee (Salle / Room 6245)
15:00 - 15:40
R. Livné
"Examples of universal Kummer families over Shimura
curves
"

15:40 - 16:00

Pause / Coffee (Salle / Room 6245)
16:00 - 16:25
J. Rouse
"Traces of Singular Moduli on Hilbert Modular Surfaces"

16:25 - 16:35

Pause / Break

16:35 - 17:00

K. Consani
"Noncommutative geometry and motives"

17:00

Reception (Room 6245)

Vendredi 16 décembre / Friday, December 16

09:30
Café / Coffee (Salle / Room 6245)
10:00 - 10:50
J. Bruinier
"CM values of Hilbert modular functions"

10:50 - 11:10

Pause / Coffee (Salle / Room 6245)
11:10 - 12:00
S. Kudla
"Special values of Borcherds forms and integrals of
Green functions
"
14:00 - 14:40
J. Funke
"A singular theta lift and the construction of Green
currents for unitary groups
"

14:40

Pause / Coffee (Salle / Room 6245)
16:00 - 17:00
CRM-ISM Colloquium
J. Cogdell
"L-functions, modularity, and functoriality"

Salle/Room 1140