Monday, 10 January 2022, 4-5pm Zoom

• Speaker: Luigi Ambrosio (Scuola Normale Superiore in Pisa)
  
  Title: An invitation to the matching problem
  
  Abstract: In this lecture I will review a few old and new results on the matching problem, a question at the interface between Optimal Transport, Probability, Partial Differential Equations. The results I will present have been obtained in joint papers with Dario Trevisan, Federico Glaudo, Federico Stra and Michael Goldman.

Tuesday, 22 February 2021, 4-5pm Ramsay Lecture Theater, Christopher Ingold

• Speaker: James Maynard (Oxford University)
  
  Title:Zeros of the Zeta function
  
  Abstract:The famous Riemann Hypothesis claims that all the (non-trivial) zeros of a mysterious analytic function lie on a special vertical line, and if true this would have many consequences for the distribution of primes. For many of these consequences it would actually suffice to show that ‘most’ likely zeros lie ‘close’ to this line, which is potentially much easier to establish. Moreover, it is only certain ‘bad patterns’ of zeros which could prevent the primes behaving in the way we expect. I’ll talk about these topics, and joint work with Kyle Pratt where we make progress on understanding these ‘bad patterns’.

Tuesday, March 22 (Postponed due to strikes) now April 26, 4-5pm Zoom

• Speaker: Penny Davies (University of Strathclyde)
  
  Title:MRE inverse problem for the elastic shear modulus TBA
  
  Abstract:Magnetic resonance elastography (MRE) is a powerful technique for noninvasive determination of the biomechanical properties of tissue, with important applications in disease diagnosis. A typical experimental scenario is to induce waves in the tissue by time-harmonic external mechanical osciillation and then measure the tissue's displacement at fixed spatial positions 8 times during a complete time-period, extracting the dominant frequency signal from the discrete Fourier transform in time. Accurate reconstruction of the tissue's elastic moduli from MRE data is a challenging inverse problem, and I will describe some recent work on the full time domain problem in which we combine different approximations into a single overdetermined system. This is joint work with Eric Barnhill & Ingolf Sack (Department of Radiology, Charite-Universitatsmedizin, Berlin).

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You'll find the old colloquium schedules here.