Date: Monday, March 18, 2013
Location: 4096 East Hall (3:00 PM to 5:00 PM)
Title: p-adic heights of algebraic cycles
Abstract: The Gross-Zagier formula is a key tool in the proof of the Birch and Swinnerton- Dyer conjecture (BSD) for elliptic curves over Q of analytic rank less than 2. I'll tell this story and discuss generalizations to higher dimensional varieties. In this setting, BSD is replaced by a beautiful conjecture of Beilinson and Bloch which relates ranks of Chow groups to the order of vanishing of L-functions attached to cohomology groups. In the second hour I'll discuss recent work generalizing Nekovar's p-adic version of the Gross-Zagier formula (the weight two case is due to Perrin-Riou).
Speaker: Ari Shnidman
Institution: UM
Event Organizer: mityab@umich.edu
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