Manchester Number Theory Seminar - Akshat Mudgal
| Dates: | 11 February 2025 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Akshat Mudgal (Warwick)
Title: Large deviations of L-functions
Abstract: In this talk, I will discuss statistical properties of values of L-functions and their extreme values. In particular, I will review recent work on extending Selberg’s Central Limit Theorem from ranges of order of the standard deviation to ranges of order of the variance in a variety of contexts, inspired by random walk theory. Examples of these applications include values of the zeta function high up the critical line, central values of Dirichlet L-functions with large moduli and central values of L-functions associated to quadratic twists of elliptic curves.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
