Junior Number Theory Seminar
The weekly Junior Number Theory Seminars provide the opportunity for a structured presentation and informal discussions. The seminars are 50 minutes long and are presented by either a graduate student or a post-doctoral researcher; interested undergraduates are also invited to attend. After the seminar we usually head to the pub where more questions and discussions, mathematical or otherwise take place.
Forthcoming Seminars
|
Mon, 20/05 16:00 |
Alastair Irving (Oxford) |
Junior Number Theory Seminar  |
SR1 |
Hilary Term 2009
In previous terms people have talked about their own research, or we have taken turns to present different chapters of a book which might be of common interest. This term we decided to present some introductory ideas, which some of us come across in our day-to-day work. The purpose is not to present exciting and new results, but rather to 'demystify' some of the different techniques of number theory, and aim at broadening people's interest.
Week 4: "Dirichlet's Approximation Theorem"
Week 5: "Hasse's Theorem for Elliptic Curves"
Week 8: "The Chevalley-Warning Theorem"
Trinity Term 2009
Owing to conferences and other commitments we were not able to run seminars in the first three weeks of term. The format for the remaining five weeks is the same as the previous term, viz. gentle introductions to theorems with some 'problem sheets' attached.
Week 4: "An Introduction to the Birch--Swinnterton-Dyer Conjecture. I"
Week 5: "An Introduction to the Birch--Swinnterton-Dyer Conjecture. II"
Week 6: "An Introduction to the Birch--Swinnterton-Dyer Conjecture. III"
Week 7: "A Minimisation Method of W.M. Schmidt"
Week 8: "An Introduction to Tauberian Theorems"
Notes on these seminars, which is some cases include the "solutions", will appear soon.
