醉月湖講座Lakeside Lecture Series
演講者：Professor Frans Oort(University of Utrecht)
講 題：Arithmetic and Geometry: Three conjectures about dense sets of points
時 間：2012年12月10日 (星期一)
 (I)13:30-14:10  intended to be understandable by general audience

(II)14:15-15:00
地 點：臺灣大學天文數學館202室
茶 點：13:00~13:30
摘 要：
    Three conjectures will be studied: Manin-Mumford, André-Oort and the Hecke Orbit conjecture.We will show that these statements (in arithmetic algebraic geometry) are very similar: all three study a set of points in an algebraic variety and we ask what the closure is of this set. 
   In the first part of my talk I will discuss the basic concepts used: abelian varieties and moduli spaces. I will give examples and some easy proofs. Some of the aspects will be illustrated with the theory of elliptic curves. If you want to obtain a general impression about these things, the first half of the talk will provide this.
    In the second part I will discuss some more technical details, and an application. The proof of the Hecke Orbit conjecture is joint work with Ching-Li Chai, using a result by Chia-Fu Yu.
主辦人：Yi-Chiuan Chen, Kin-Ming Hui, Jeremy Wong, Jeng-Daw Yu