SMY:n etäkollokvio 6.11.2024

Extremal problems for multiplicative functions

Recording of the talk: https://youtu.be/m_2Hee8E8k8

Time and place: Wednesday, November 6 at 16:15. Over Zoom and in colloquium watch events at mathematics departments (see bottom of page)

Speaker: Andrew Granville, Université de Montréal

Chaired by: Kaisa Matomäki, University of Turku

Title: Extremal problems for multiplicative functions

Abstract:

Nowadays there are two prominent approaches to questions about the distribution of prime numbers: Riemann's classical methods using zeros of zeta functions, and the recent pretentious theory of multiplicative functions (which is mostly a combination of older "ad hoc" techniques). In this talk we present the basics of this newer theory, how it relates closely to the  theory of integral-delay equations and then focus on some recent work on extremal problems (in joint work of the speaker with Kevin Church, Kaisa Matomaki, Kannan Soundararajan and Daodao Yang).

 

Andrew Granville is Professor of Mathematics at Université de Montréal and a world-leading expert in analytic number theory. He has published several very influencial papers and is probably best known for developing, together with K. Soundararajan, the "pretentious" approach to number theory.


Where to watch?

The colloquium was broadcast over Zoom on Wednesday, November 6, at 16:15.

There werecolloquium watch events at Finnish universities' mathematics departments:

  • Aalto University: U6 (U149)
  • LUT University: 2411 (Lappeenranta)
  • Tampere University: Tietotalo TC210 (Hervanta)
  • University of Eastern Finland: M303 (Joensuu)
  • University of Helsinki: Exactum CK112 (Kumpula)
  • University of Jyväskylä: MaD302
  • University of Oulu: Ma342 (Linnanmaa)
  • University of Turku: Quantum QM3
  • University of Vaasa: F366
  • Åbo Akademi: Aurum A316 Chromium

The talk, excluding audience questions, was recorded. Recordings of the colloquium talks are available on FMS' YouTube channel.