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SUMMARY:Rickard Cullman
DTSTART:20250213T153000Z
DTEND:20250213T160000Z
DTSTAMP:20260423T005840Z
UID:gbgphd/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gbgphd/5/">A
  taste of Ergodic Ramsey theory</a>\nby Rickard Cullman as part of Gothenb
 urg PhD seminar\n\nLecture held in MVL14.\n\nAbstract\nErgodic Ramsey theo
 ry is a branch of mathematics that\, loosely speaking\, applies Ergodic th
 eory (measurable dynamics) to the study of certain number-theoretic proble
 ms. \n\nIn this talk I will give a quick introduction to both Ramsey theor
 y and Ergodic theory\, and how the two relate via the Furstenberg correspo
 ndence principle. I will conclude with a brief discussion of Szemeredi's t
 heorem on arithmetic progressions (often considered a highlight of 20:th c
 entury mathematics) and Furstenberg's ergodic-theoretic proof of it. I aim
  to convey how seemingly very abstract mathematical methods from measure t
 heory and functional analysis can be used to prove easily formulated numbe
 r-theoretic statements.\n
LOCATION:https://researchseminars.org/talk/gbgphd/5/
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