AMS Sectional Meeting Program by Special Session
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1999 Spring Western Section Meeting
Las Vegas, NV, April 1011, 1999
Meeting #942
Associate secretaries:
Bernard Russo, AMS
brusso@math.uci.edu
Special Session on Diophantine Problems

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C
Organizers:
Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

9:00 a.m.
Old and new results on Diophantine equations of the form $aX^4bY^2= \pm 1$.
Michael A. Bennett, University of Illinois, Urbana
Gary Walsh*, University of Ottawa
(9421105)

9:30 a.m.
Some recent results on the modularity of twodimensional $p$adic Galois representations.
Chris Skinner*, IAS
(94211210)

10:00 a.m.
the regularity theorem and conductordiscriminant inequalities.
Minhyong Kim*, University of Arizona
(94211203)

10:30 a.m.
Arithmetic of Fermat curves .
Pavlos Tzermias*, University of Arizona
(94211194)

Saturday April 10, 1999, 3:00 p.m.5:20 p.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C
Organizers:
Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

3:00 p.m.
On the discriminant of classical polynomials.
Fernando RodriguezVillegas*, University of Texas at Austin
(94211214)

3:30 p.m.
Automorphisms of cubic moduli spaces.
William M. Goldman*, University of Maryland
(94214129)

4:00 p.m.
Torsion Points on $X_0(N)$.
Matthew H Baker*, UC Berkeley
(9421434)

4:30 p.m.
Constraints on value sets over finite fields.
Wayne Aitken*, California State University
(94211225)

5:00 p.m.
Algebraic families of nonzero elements of ShafarevichTate groups.
JeanLouis ColliotTh\'el\`ene, Universit\'e de ParisSud
Bjorn Poonen*, University of California at Berkeley
(9421146)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C
Organizers:
Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

9:00 a.m.
Jacobians of Curves of Genus 1.
William G McCallum*, University of Arizona
(94211201)

9:30 a.m.
A 2dimensional continued fraction algorithm associated with interval exchanges and a theorem of Lagrange.
Sebastien Ferenczi, Universite de Tours
Charles Holton, University of California
Luca Q Zamboni*, University of North Texas
(9421176)

10:00 a.m.
Geometrically simple reduction types of CM abelian varieties.
Hui Zhu*, MSRI
(94211217)

10:30 a.m.
Geometric Nonvanishing.
Douglas Ulmer*, University of Arizona
(94211245)

Sunday April 11, 1999, 3:00 p.m.4:50 p.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C
Organizers:
Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

3:00 p.m.
Bounds on exponential sums and applications to cryptography.
Daniel B. Lieman*, University of Missouri
(94211213)

3:30 p.m.
Arithemetic Analogs of Differential Modular Forms.
Christine Hurlburt*, University of New Mexico
(94214186)

4:00 p.m.
Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian.
Everett W Howe*, Center for Communications Research
(94214155)

4:30 p.m.
A slightly weaker conjecture implies the $abc$ conjecture.
Paul Vojta*, University of California, Berkeley
(94211230)
Inquiries: meet@ams.org