Program on Algebraic, Symplectic Geometry and Physics
Workshop on P-adic aspects of differential equations : Crystals, Mirror symmetry, Modular forms
November 5-8, 2007 in room AA.C.006

Organizers: V. Golyshev, L. Katzarkov, D. Van Straten


This event is part of the semester-long program on Algebraic, Symplectic Geometry and Physics held at Centre Bernoulli, EPFL, Lausanne, Switzerland. See the main program page for information about registration, accomodation, etc. Reminder: all participants (invited or not) should register. Please fill the registration form.

Schedule

All the talks will take place in room AAC 006 in building SG, near the Bernoulli Center (on the same level).

Monday, November 5th
9:30 Welcome
10:00 - 10:50 Y. Andre
A survey of global crystals
10:50 - 11:05 Coffee Break
11:10 - 12:00 S. Sperber
On analytic formulas for eigenvalues of Frobenius for some families of exponential sums
12:10 - 13:00 L. Katzarkov
Birational Geometry and HMS Symmetry
13:00 - 14:00 Lunch Break
14:30 - 15:20 A. Corti
The quantum cohomology of weak Fano toric stacks
  Afterhours
Tuesday, November 6th
10:00 - 10:50 D. Wan
Moment Zeta Functions and Mirror Symmetry
10:50 - 11:05 Coffee Break
11:10 - 12:00 N. Yui
Mirror Symmetry for Elliptic Curves
12:10 - 13:00 J. Stienstra
Two-variable hypergeometric systems and dessins d'enfants
13:00 - 14:00 Lunch Break
14:30 - 15:20 X. de la Ossa
Mirror Symmetry and the Zeta-Function for the Quintic Threefold
  Afterhours
Wednesday, November 7th
10:00 - 10:50 F. Beukers
P-adic properties of the Lame differential equation
10:50 - 11:05 Coffee Break
11:10 - 12:00 W.Zudilin
An Sp_4 modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds (joint work with Yifan Yang)
12:10 - 13:00 C. Doran
Normal Forms, K3 Moduli, and Modular Parametrizations
13:00 - 14:00 Lunch Break
14:30 - 15:20 P.Candelas
Complex and p-Adic Special Geometry
  Afterhours
Thursday, November 8th
10:00 - 10:50 K. Kedlaya
Effective convergence bounds for p-adic differential equations with Frobenius structure
10:50 - 11:05 Coffee Break
11:10 - 12:00 R. Crew
Finiteness questions in the theory of arithmetic D-modules
12:10 - 13:00 V. Batyrev
Towards computing quantum cohomology of Fano $3$-folds via conifold degenrations
13:00 - 14:00 Lunch Break
14:30 - 15:20 D. Haessig
Mirror symmetry and quotients of zeta functions
  Afterhours

Abstracts of the lectures