Special Session on Computational Arithmetic Geometry

2006 Spring Western Section Meeting

San Francisco, CA, April 29-30, 2006

Organizers:

**Kenneth A. Ribet**, University of California Berkeley
ribet@math.berkeley.edu

**Kristin Estella Lauter**, Microsoft Corporation
klauter@microsoft.com

AMS official schedule of talks with abstracts, affiliations, and co-authors

**
Schedule of talks:**

**Saturday morning, April 29: Heegner points, Sha, BSD**

8:00am-8:30am: William McCallum 1018-11-239 Slides

Yet more nontrivial elements in Shafarevich-Tate groups of Fermat curves.

8:30am-9:00am: Byungchul Cha 1018-11-187

Vanishing of Some Cohomology Groups and Bounds for Shafarevich-Tate Groups of Elliptic Curves.

9:00am-9:30am: Samit Dasgupta 1018-11-49

Shintani zeta-functions and Gross-Stark units for totally real fields.

9:30am-10:00am: Ken McMurdy 1018-11-264 Slides

Heegner Points on $X_0(p^n)$.

10:00am-10:30am: Nils Bruin 1018-11-120

Solvability of small curves of genus 2.

10:30am-11:00am. William Stein 1018-11-77 Slides (with audio!)

SAGE -- Software for Algebra and Geometry Experimentation.

**Saturday afternoon, April 29: Hilbert modular surfaces**

3:00pm-3:30pm: Tonghai Yang 1018-11-87

A basic intersection problem on Hilbert modular surfaces.

3:30pm-4:00pm Lassina Dembele 1018-11-173

Examples of automorphic forms on the unitary group in three variables.

4:00pm-4:30pm Amod Agashe 1018-11-98

Rational torsion of elliptic curves and the cuspidal subgroup.

4:30pm-5:00pm: Jayce Getz 1018-11-38 Slides

Hilbert modular forms, intersection homology base change.

5:00pm-5:30pm Ken Ono 1018-11-53 Slides

Traces of singular moduli on Hilbert surfaces.

**Sunday morning, April 30: Curves I**

8:00am-8:30am: Kiran Kedlaya 1018-11-74 Slides

Computing zeta functions of surfaces using p-adic cohomology.

8:30am-9:00am: Jeff Achter 1018-11-247

Divisibility of function field class numbers.

9:00am-9:30am: Alina Cojucaru 1018-11-268

Frobenius fields for Drinfeld modules of rank

9:30am-10:00am: Denis Charles 1018-11-189

Some applications of the graph of supersingular elliptic curves.

10:00am-10:30am: Everett Howe 1018-11-132 Slides

Jacobians in isogeny classes of supersingular surfaces over finite fields.

10:30am-11:00am: Peter Stevenhagen 1018-14-176 Slides

Constructing elliptic curves in almost polynomial time

**Sunday afternoon, April 30: Curves II**

3:00pm-3:30pm: Rachel Pries 1018-11-146

The p-torsion of curves in characteristic p.

3:30pm-4:00pm: Kate Stevenson 1018-14-55

Local Galois theory in dimension two.

4:00pm-4:30pm: David Grant 1018-94-208

Number Theoretic Aspects of Space-Time Codes.

4:30pm-5:00pm: Bjorn Poonen 1018-14-165 Slides

Gonality of modular curves in characteristic p.

5:00pm-5:30pm: Jordan Ellenberg 1018-11-71

Reflection principles and l-parts of class groups.

5:30pm-6:00pm: Rene Schoof 1018-11-125

Modular curves and semistable abelian varieties over Q.

6:00pm-6:30pm Discussion