Ming-Lun Hsieh will give the talk on Tuesday, October 18 at 4:15 in Math 622. This lecture will be open to all.
Abstract: A real torus Sn is (R/Z)n or Rn/Zn, Zn is a lattice in Rn, and a 1-dim complex torus is C/L, L is a lattice in C. So what would be a torus over finite field? In the first part of the talk, I will give a very quick introduction about a torus over finite field, namely abelian varieties over finite field. With the help of Dieudonne' theory, they can be visualized by lattices in a certain vector space. Among them, there are spceial lattices, supersingular abelian varities, in the second part, I will talk about their mass formula which is closely related to special values of zeta funtions.
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