MATH Seminar

Title: Lifting the j-invariant
Seminar: Algebra and Number Theory
Speaker: Luis R. Finotti of University of Tennessee, Knoxville
Contact: Zachary A. Kent, kent@mathcs.emory.edu
Date: 2011-04-19 at 3:00PM
Venue: W306
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Abstract: The coordinates of the j-invariant of the canonical lifting of an ordinary elliptic curve are functions on the j invariant of the latter curve. Mazur asked about the nature of these functions and Tate asked about the possibility to extend them to supersingular values. After describing methods to deal with Witt vectors in an efficient way, we will show that only the first three coordinates can be extend to supersingular values and give precise descriptions for the first four coordinates.