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    • Solving inverse problems with Bayes’ theorem 

      [SNAP-2022-006-EN] Latz, Jonas; Sprungk, Björn (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-05)
      The goal of inverse problems is to find an unknown parameter based on noisy data. Such problems appear in a wide range of applications including geophysics, medicine, and chemistry. One method of solving them is known as ...
    • Jewellery from tessellations of hyperbolic space 

      [SNAP-2022-005-EN] Gangl, Herbert (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-02)
      In this snapshot, we will first give an introduction to hyperbolic geometry and we will then show how certain matrix groups of a number-theoretic origin give rise to a large variety of interesting tessellations of 3-dimensional ...
    • Seeing through rock with help from optimal transport 

      [SNAP-2022-004-EN] Frederick, Christina; Yang, Yunan (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-06)
      Geophysicists and mathematicians work together to detect geological structures located deep within the earth by measuring and interpreting echoes from manmade earthquakes. This inverse problem naturally involves the ...
    • The Robinson–Schensted algorithm 

      [SNAP-2022-002-EN] Thomas, Hugh (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-06)
      I am going to describe the Robinson–Schensted algorithm which transforms a permutation of the numbers from 1 to n into a pair of combinatorial objects called “standard Young tableaux”. I will then say a little bit about a ...
    • Searching for the Monster in the Trees 

      [SNAP-2022-003-EN] Craven, David A. (Mathematisches Forschungsinstitut Oberwolfach, 2022-04-13)
      The Monster finite simple group is almost unimaginably large, with about 8 × 1053 elements in it. Trying to understand such an immense object requires both theory and computer programs. In this snapshot, we discuss finite ...
    • Emergence in biology and social sciences 

      [SNAP-2022-001-EN] Hoffmann, Franca; Merino-Aceituno, Sara (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-31)
      Mathematics is the key to linking scientific knowledge at different scales: from microscopic to macroscopic dynamics. This link gives us understanding on the emergence of observable patterns like flocking of birds, leaf ...