16:00
Large deviations for the Riemann zeta function on the critical line
Abstract
In this talk, I will give an account of the measure of large values where |ζ(1/2 + it)| > exp(V), with t ∈ [T,2T] and V ∼ αloglogT. This is the range that influences the moments of the Riemann zeta function. I will present previous results on upper bounds by Arguin and Bailey, and new lower bounds in a soon to be completed paper, joint with Louis-Pierre Arguin, and explain why, with current machinery, the lower bound is essentially optimal. Time permitting, I will also discuss adaptations to other families of L-functions, such as the central values of primitive characters with a large common modulus.
Mathematrix: Board Games!
Abstract
Join us on Friday Week 7 for some chill board games! Meet in N4.01 at 12pm for a Taylors sandwich lunch and positive end-of-term vibes.
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Where on earth is the best laboratory to demonstrate the beauty of fluid dynamics?
Actually it’s not on earth. Here is the story of the soft cell. Read more here!