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SUMMARY:HSM Early Career Colloquium: Maxine Calle\, Max Mihailescu\, Seung
 -Yeon Ryoo [HSM Early Career Colloquium]
DTSTART:20261104T141500Z
DTEND:20261104T153000Z
DTSTAMP:20261031T173100Z
UID:indico-event-1713@math-events.uni-bonn.de
DESCRIPTION:Maxine Calle\nHow to cut things up (and put them back together
  again) using algebraic topology\nThe concept of scissors congruence has a
  simple premise: given a geometric object\, we can cut it up into finitely
  many pieces\, and reassemble these pieces in a new way. But given two geo
 metric objects\, how can we tell if they are related in this way? What und
 erlying properties are preserved by these cut-and-paste moves? In this tal
 k\, we will explore how algebraic topologists approach these questions\, w
 ith a particular focus on the case of polytopes and smooth manifolds.\nMax
  Mihailescu \nRandom surfaces in statistical mechanics\nIn the beginning 
 of this talk we will introduce one of the most classical models in statist
 ical mechanics\, the Ising model\, which explains how temperature influenc
 es the magnetic properties of metals. At sufficiently low temperatures\, 
 two distinct phases emerge\, and an interesting research question is study
 ing their separating interface. We will explore how this naturally leads t
 o random surface models\, and we will ask a concrete question: How are the
 se surfaces affected when they are constrained to lie between a hard floor
  and a hard ceiling?\nSeung-Yeon Ryoo\nInvitation to metric embeddings\nWe
  introduce the topic of metric embeddings. More specifically\, we ask the 
 meta-question of how to characterize when a metric space embeds bilipschit
 zly into Euclidean space\, and if so\, how much we can optimize the embedd
 ing. We describe an attempt to answer this question and give some examples
  where the answer is known.\n\nhttps://math-events.uni-bonn.de/event/1713/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1713/
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