January 2012 February 2012 March 2012 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 1 2 3 4 1 2 3 8 9 10 11 12 13 14 5 6 7 8 9 10 11 4 5 6 7 8 9 10 15 16 17 18 19 20 21 12 13 14 15 16 17 18 11 12 13 14 15 16 17 22 23 24 25 26 27 28 19 20 21 22 23 24 25 18 19 20 21 22 23 24 29 30 31 26 27 28 29 25 26 27 28 29 30 31 |

4:00 pm Tuesday, February 21, 2012 Algebraic Geometry Seminar: Semi-algebraic horizontal subvarieties of Calabi-Yau typeby
Radu Laza (Stony Brook) in HB 227- Except a few special cases (e.g. abelian varieties and K3 surfaces), the images of period maps for families of algebraic varieties satisfy non-trivial Griffiths' transversality relations. It is of interest to understand these images of period maps, especially for Calabi-Yau threefolds. In this talk, I will discuss the case when the images of period maps can be described algebraically. Specifically, I will show that if a horizontal subvariety Z of a period domain D is semi-algebraic and is stabilized by a large discrete group, then Z is automatically Hermitian symmetric with a totally geodesic embedding into the period domain D. Additionally, I will discuss the classification of the semi-algebraic cases for variations of Hodge structures of Calabi-Yau type. This is joint work with R. Friedman.
Submitted by evanmb@gmail.com |