Junior Number Theory Seminar
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Mon, 30/04/2012 16:00 |
James Maynard |
Junior Number Theory Seminar  |
SR1 |
| Vinogradov's three prime theorem resolves the weak Goldbach conjecture for sufficiently large integers. We discuss some of the ideas behind the proof, and discuss some of the obstacles to completing a proof of the odd goldbach conjecture. | |||
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Mon, 07/05/2012 16:00 |
Netan Dogra |
Junior Number Theory Seminar |
SR1 |
| This talk will attempt to say something about the p-adic zeta function, a p-adic analytic object which encodes information about Galois cohomology of Tate twists in its special values. We first explain the construction of the p-adic zeta function, via p-adic Fourier theory. Then, after saying something about Coleman integration, we will explain the interpretation of special values of the p-adic zeta function as limiting values of p-adic polylogarithms, in analogy with the Archimedean case. Finally, we will explore the consequences for the de Rham and etale fundamental groupoids of the projective line minus three points. | |||
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Mon, 14/05/2012 16:00 |
Thomas Reuss |
Junior Number Theory Seminar |
SR1 |
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Mon, 21/05/2012 16:00 |
Daniel Kotzen |
Junior Number Theory Seminar |
SR1 |
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Mon, 28/05/2012 16:00 |
Frank Gounelas |
Junior Number Theory Seminar |
SR1 |
| Which positive integers are the area of a right angled triangle with rational sides? In this talk I will discuss this classical problem, its reformulation in terms of rational points on elliptic curves and Tunnell's theorem which gives a complete solution to this problem assuming the Birch and Swinnerton-Dyer conjecture. | |||
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Mon, 04/06/2012 16:00 |
Alastair Irving |
Junior Number Theory Seminar |
SR1 |
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Mon, 11/06/2012 16:00 |
Jan Vonk |
Junior Number Theory Seminar |
SR1 |
