Forthcoming Seminars › Seminar Series

Number Theory Seminar

Thu, 19/01/2012
16:00 		Toby Gee Number Theory Seminar Add to calendar L3
New perspectives on the Breuil-Mézard conjecture

I will discuss joint work with Matthew Emerton on geometric
approaches to the Breuil-Mézard conjecture, generalising a geometric
approach of Breuil and Mézard. I will discuss a proof of the geometric
version of the original conjecture, as well as work in progress on a
geometric version of the conjecture which does not make use of a fixed
residual representation.
Thu, 26/01/2012
16:00 		Yu V Matiyasevich (Steklov Institute of Mathematics) Logic Seminar Add to calendar
Number Theory Seminar Add to calendar 		L3
New conjectures about zeros of Riemann’s zeta function
In http://logic.pdmi.ras.ru/~yumat/personaljournal/artlessmethod/artlessmethod.php the speaker described a surprising method for (approximate) calculation of the zeros of Riemann’s zeta function using terms of the divergent Dirichlet series.In the talk this method will be presented together with some heuristic “hints” explaining why the divergence of the series doesn’t spoil its use. Several conjectures about the zeros of Riemann’s zeta function will be stated including supposed new relationship between them and the prime numbers.
Thu, 09/02/2012
16:00 		Dave Platt (Bristol University) Number Theory Seminar Add to calendar L3
Degree 1 L-functions and the Discrete Fourier Transform

I will review the basic properties of the DFT and describe how these can be exploited to efficiently compute degree 1 L-functions.
Thu, 16/02/2012
16:00 		Adam Harper (Cambridge) Number Theory Seminar Add to calendar L3
Smooth numbers in arithmetic progressions
A number is said to be $ y $-smooth if all of its prime factors are at most $ y $. A lot of work has been done to establish the (equi)distribution of smooth numbers in arithmetic progressions, on various ranges of $ x $,$ y $ and $ q $ (the common difference of the progression). In this talk I will explain some recent results on this problem. One ingredient is the use of a majorant principle for trigonometric sums to carefully analyse a certain contour integral.
Thu, 23/02/2012
16:00 		Chris Wuthrich (Nottingham) Number Theory Seminar Add to calendar L3
On the class group pairing on elliptic curves
Thu, 01/03/2012
16:00 		Alan Lauder (Oxford) Number Theory Seminar Add to calendar L3
Explicit rational points on elliptic curves
I will discuss an efficient algorithm for computing certain special values of p-adic L-functions, giving an application to the explicit construction of rational points on elliptic curves.

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

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