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Algebraic Geometry Seminar
Seminar information archive ～05/22｜Next seminar｜Future seminars 05/23～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2007/11/08
16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Alexandru DIMCA (Univ Nice )
New restrictions on the fundamental groups of complex algebraic varieties
Alexandru DIMCA (Univ Nice )
New restrictions on the fundamental groups of complex algebraic varieties
[ Abstract ]
My talk will be based on joint work with S. Papadima (Bucarest, Romania) and A. Suciu (Boston, USA). First I will recall the basic facts on characteristic varieties Vk(M) associated to rank one local systems on a complex algebraic variety M which are due to Beauville, Simpson and Arapura. Then I will introduce the resonance varities Rk(M), which may be related to the Isotropic Subspace Theorems by Catanese and Bauer. One of the main new results is that for a class of algebraic varieties (the 1-formal ones), the two types of varieties Vk(M) and Rk(M) are strongly related. Applications to right angle Artin groups, Bestvina-Brady groups and to a conjecture by Kollar will be discussed in the end.
My talk will be based on joint work with S. Papadima (Bucarest, Romania) and A. Suciu (Boston, USA). First I will recall the basic facts on characteristic varieties Vk(M) associated to rank one local systems on a complex algebraic variety M which are due to Beauville, Simpson and Arapura. Then I will introduce the resonance varities Rk(M), which may be related to the Isotropic Subspace Theorems by Catanese and Bauer. One of the main new results is that for a class of algebraic varieties (the 1-formal ones), the two types of varieties Vk(M) and Rk(M) are strongly related. Applications to right angle Artin groups, Bestvina-Brady groups and to a conjecture by Kollar will be discussed in the end.
