Forthcoming Seminars › Seminar Series

Junior Number Theory Seminar

Mon, 29/10/2007
15:00 		Nic Niedermowwe (Mathematical Institute Oxford) Junior Number Theory Seminar Add to calendar SR1
The Tschinkel Problem
Mon, 05/11/2007
15:00 		Jahan Zahid (Mathematical Institute Oxford) Junior Number Theory Seminar Add to calendar SR1
An exposition on quintic forms over the $ p $-adic numbers
Mon, 12/11/2007
15:00 		George Walker (Mathematical Insitute, Oxford) Junior Number Theory Seminar Add to calendar SR1
An excursus in computations in deforming curves in weighted projective spaces
I will review the construction of algebraic de Rham cohomology, relative de Rham cohomology, and the Gauss-Manin connection. I will then show how we can find a basis for the cohomology and the matrix for the connection with respect to this basis for certain families of curves sitting in weighted projective spaces.
Mon, 19/11/2007
15:00 		Tim Trudgian (Mathematical Insitute, Oxford) Junior Number Theory Seminar Add to calendar SR1
A digression from the zeroes of the Riemann zeta function to the behaviour of $ S(t) $
Defined in terms of $ \zeta(\frac{1}{2} +it) $ are the Riemann-Siegel functions, $ \theta(t) $ and $ Z(t) $. A zero of $ \zeta(s) $ on the critical line corresponds to a sign change in $ Z(t) $, since $ Z $ is a real function. Points where $ \theta(t) = n\pi $ are called Gram points, and the so called Gram's Law states between each Gram point there is a zero of $ Z(t) $, and hence of $ \zeta(\frac{1}{2} +it) $. This is known to be false in general and work will be presented to attempt to quantify how frequently this fails.

For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

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