Number Theory

Title: Variation of canonical height and equidistribution
Speaker: Laura DeMarco
Speaker Info: Northwestern University
Brief Description:
Special Note:

In the 1990s, Ullmo and Zhang independently proved the Bogomolov Conjecture, about the geometry of points of small canonical height on abelian varieties; a key ingredient was an equidistribution statement for these points (that they proved jointly with Szpiro). Shortly after, Zhang posed a series of questions extending this conjecture to families of abelian varieties. In joint work with Myrto Mavraki, we solve this problem in the setting where A has dimension 2 and splits as a product of elliptic curves. There are three key ingredients: (1) Silverman's work on variation of canonical height, (2) an equidistribution theorem of Chambert-Loir, Thuillier, and Yuan, and (3) the work of Masser and Zannier treating the points of height 0.
Date: Monday, September 26, 2016
Time: 3:00PM
Where: Lunt 107
Contact Person: Yifeng Liu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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