Miniworkshop on "Monodromy and Fourier transformation"


Speakers: Lei Fu (Nankai University)
Byungheup Jun (ASARC, KAIST)
Dong Uk Lee (KIAS)

Date: 2007.5.22.(Thu), 2:00 PM -- 5.24 (Sat)

Aim of the workshop: We present a gentle introduction and survey on some of the topics of the list below. We begin with the construction of derived category, then construct the Riemann-Hilbert correspondences in complex analytic, l-adic, and p-adic setting. Related topics and some recent results will be presented. This is a crash course on the subject aimed at Graduate students and researchers working in arithmetic geometry, algebraic geometry and number theory.

Topics: Derived category, t-structure, Riemann-Hilbert correspondence,
Perverse sheaf, Fourier transformation

References:

1. A. Borel et al.: Algebraic D-modules. Perspectives in Mathematics, 2. Academic Press (1987)

2. A. Beilinson, J. Bernstein, P. Deligne: Faisceaux pervers. Analysis and topology on singular spaces, I (Luminy, 1981), 5--171, Asterisque, 100. SMF, 1982

3. G. Laumon: Transformation de Fourier, constantes d'equations fonctionnelles et conjecture de Weil. IHES Publ. Math. No. 65 (1987), 131--210

4. R. Kiehl, R. Weissauer: Weil conjectures, perverse sheaves and l-adic Fourier transform. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., 42. Springer-Verlag

5. N. Katz: Rigid local systems, Ann. of Math. Studies, 139. Princeton University Press (1996)

6. M. Emerton, M. Kisin: An introduction to the Riemann-Hilbert correspondence for uni F-crystals -- Geometric aspects of Dwork theory II, 677-700 (2004)

Contacts:
Byungheup Jun (byungheup(at)gmail(dot)com)
Dong Uk Lee (dulee(at)kias(dot)re(dot)kr)