
醉月湖講座

主講者:

Professor JunMuk Hwang(School of mathematics, Korea Institute for Advanced study)

講題:

Sphere packing for symplectic lattices

時間:

20121112
(Mon.) 14:00  15:00

地點:

天文數學館2樓202教室

Abstract:
 Symplectic lattices are lattices in Euclidean space with certain extrasymmetries associated to Hermitian forms. They correspond to principally polarized abelian varieties in algebraic geometry. Classical examples are given by period lattices of compact Riemann surfaces. Our theme is the density of sphere packing for symplectic lattices. In their seminal work in 1994, Buser and Sarnak showed that period lattices of compact Riemann surfaces give remarkably poor sphere packing. Following BuserSarnak's work, many interesting relations between the density of sphere packing for symplectic lattices and algebrogeometric properties of corresponding abelian varieties have been discovered. We will give an overview of this subject with a report on a recent work on period lattices
of Prym varieties, another important class of symplectic lattices arising from algebraic geometry.

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