Past Junior Number Theory Seminar

9 February 2009
16:00
Johan Bredberg
Abstract
<p> This talk will introduce Dirichlet's Theorem on the approximation of real numbers via rational numbers. Once this has been established, a stronger version of the result will be proved, viz Hurwitz's Theorem. </p>
  • Junior Number Theory Seminar
1 December 2008
16:00
Sebastian Pancratz
Abstract
This talk will give detailed proofs of Szemer\'{e}di's Regularity Lemma for graphs and the deduction of Roth's Theorem. One can derive Szemer\'{e}di's Theorem on arithmetic progressions of length $k$ from a suitable regularity result on $(k-1)$-uniform hypergraphs, and this will be introduced, although not in detail.<br />
  • Junior Number Theory Seminar

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