March 2014 April 2014 May 2014 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 1 2 3 4 5 1 2 3 2 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 10 9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17 16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24 23 24 25 26 27 28 29 27 28 29 30 25 26 27 28 29 30 31 30 31 |

4:00 pm Tuesday, April 8, 2014 Algebraic Geometry Seminar: Integral models of Siegel modular varieties with Gamma_1(p)-type level-structureby Richard Shadrach (Michigan State) in HB 227- The Siegel modular varieties are moduli spaces for abelian schemes with certain additional structures. Integral models of these varieties can be defined by posing a moduli problem over the p-adic integers. In the case of Gamma_1(p)-type level structure, we consider moduli problems that use "Oort-Tate generators" for certain group schemes. In this case I will construct explicit local models, i.e. simpler schemes which can be used to study local properties of the integral models. I will then use the local model for the Siegel modular variety of genus 2 to construct a resolution of the integral model which is regular with special fiber a divisor of nonreduced normal crossings.
Submitted by btl1@rice.edu |