University of Maryland
Algebra-Number Theory Seminar Abstracts
(September 27) Matthew Baker:
Modularity for curves of genus >= 2 -
Let X be a curve of genus g defined over Q
such that X(Q)
is nonempty. It is known that if g<= 1, then X is modular,
in the sense that there exists a dominant morphism from X1(N) to X
for some integer N. On the other hand, we conjecture
that for a fixed
genus g >= 2, there are only finitely many modular curves of
genus g. In this talk, we will discuss some partial results toward a
proof of this conjecture.
(Joint work with Bjorn Poonen, Josep Gonzalaz, and Enrique Gonzalez)
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