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Number Theory Seminar

The number theory seminar is a forum for talks in various aspects of number theory, arithmetic geometry, cryptography. This semester (1, 2006), seminars and lectures will take place in Carslaw 375 on Thursdays between 4-6PM, unless otherwise indicated.

Previous Seminars

Schedule of Talks

August 2005

Fri 19 Stephen Meagher Twisting Curves (4:05-4:55)

November 2005

Thu 10 John Voight Quadratic forms that represent almost the same primes (4:05-5:00)

January 2006

Thu 19 Ben Smith Explicit real multiplication from cyclotomic coverings of curves (3:05-4:00)

February 2006

Thu 16 Robert Carls 3-adic canonical lifting (3:05-4:00)

March 2006

Thu 23 Ralf Gerkmann Relative rigid cohomology and point counting on hypersurfaces (4:05-4:55) [slides in pdf]
Thu 30 Ralf Gerkmann Relative rigid cohomology and point counting on hypersurfaces (4:05-4:35) [slides in pdf]

Special Lecture Series: Shimura Curves

John Voight will give a serie of lectures on "Shimura Curves" [Lectures notes in pdf].

April 2006

Tue 4 John Voight Shimura curves: A survey (3:05-4:00) Carslaw 373
Fri 7 John Voight Shimura curves as moduli spaces (1:05-2:00) Carslaw 251
Tue 11 John Voight Computational aspects of Shimura curves (3:05-4:00) Carslaw 373

Special Lecture Series: Complex multiplication of abelian varieties

This lecture series will follow the book "Abelian varieties with complex multiplication and modular functions" of Goro Shimura. Lectures will be by and for postgrads, postdocs, and other interested researchers.

August 2005

Fri 19 Steve Ward Preliminaries on Abelian varieties (3:05-3:55)
Thu 25 Steve Ward Preliminaries on Abelian varieties II (4:05-4:55)

September 2005

Thu 1 Steve Ward Preliminaries on Abelian varieties III (4:05-4:55)
Thu 8 David Gruenewald Polarized abelian varieties and their fields of definition. (4:05-4:55)
Thu 15 David Gruenewald Polarized abelian varieties. (4:05-4:55) [lecture notes in pdf]

October 2005

Thu 06 Alex Unger Structure of Endomorphism Rings of Abelian Varieties (4:05-5:30)
Fri 14 Alex Unger Structure of Endomorphism Algebras of Abelian Varieties II (3:05-4:00)
Thu 20 Alex Unger Structure of Endomorphism Algebras of Abelian Varieties III (4:05-4:30) [lecture notes in ps]
Thu 20 Robert Carls Kummer varieties attached to abelian varieties (4:40-4:40) [lecture notes in pdf]

November 2005

Thu 3 Robert Carls Transforms of abelian varieties with multiplication (4:05-5:00) [lecture notes in pdf]

March 2006

Thu 30 Robert Carls Transformations and ideal section points (4:45-5:45)

April 2006

Thu 6 Ley Wilson CM-types (4:05-4:55)
Thu 13 David Kohel The reflex of a CM type (4:05-4:55)
Thu 27 John Voight Fields of definition for CM-types (4:05-4:55)

May 2006

Thu 4 David Gruenewald An introduction to Néron Models (4:05-4:55)
Thu 11 David Gruenewald An introduction to Néron Models (part II) (4:05-4:55)
Thu 25 David Gruenewald Néron Models (the end) (4:05-4:55)

June 2006

Thu 1 Steve Ward Class Field Theory and the Kronecker Weber Theorem (4:05-4:55)
Thu 8 Steve Ward The main theorem of complex multiplication for abelian varieties (4:05-5:30)
Thu 22 Steve Ward The main theorem of complex multiplication (4:05-5:00)

Beach BBQ Seminar

The Number Theory Seminar may be preceded or followed by a Beach BBQ Seminar at Clovelly.

Questions concerning the number theory seminar should be addressed either to Robert Carls, Carslaw 638, 9351 5780 or to Martine Girard, Carslaw 638, 9351 5780.