Browsing 2022 by Snapshot Mathematical Subject "Algebra and Number Theory"
Now showing items 1-5 of 5
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Jewellery from tessellations of hyperbolic space
[SNAP-2022-005-EN] (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 ... -
Representations and degenerations
[SNAP-2022-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-10-25)In this snapshot, we explain two important mathematical concepts (representation and degeneration) in elementary terms. We will focus on the simplest meaningful examples, and motivate both concepts by study of symmetry. -
The Robinson–Schensted algorithm
[SNAP-2022-002-EN] (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] (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 ... -
A tale of three curves
[SNAP-2022-010-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-10-27)In this snapshot, we give a survey of some problems in the study of rational points on higher genus curves, discussing questions ranging from the era of the ancient Greeks to a few posed by mathematicians of the 20th ...