Place: Bond Hall 217, University of Western Washington, Bellingham, WA
First talk: 11-12
Matt Baker from Harvard University
Canonical heights over abelian varieties
Abstract: Let A be an abelian variety defined over a number field K, and let Kab denote the maximal abelian extension of K. We conjecture that there exists a constant C > 0 (depending on A and K) such that if P is a non-torsion point in A(Kab), then the canonical height of P is at least C. We will sketch a proof of the conjecture when A is an elliptic curve satisfying some additional hypotheses. We will also discuss some possible generalizations of the main conjecture.
Second talk: 2:00 - 2:45 PM
Imin Chen of Simon Fraser University
Elliptic curves with non-split mod 11 representations
Abstract: This talk will discuss a method to explicitly determine the j-invariants of elliptic curves corresponding to rational points on certain modular curves of level 11.
Third Talk: 3 - 3:45 PM
Adrian Iovita of the University of Washington
Families of exponential maps attached to p-adic families of modular forms
Abstract: A p-adic analytic family of modular forms produces on the one hand a family of Galois representations and on the other hand a two-variable p-adic L-function. The talk will show how these objects are directly related.