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SUMMARY:2. TP 2025 - Minicourse Series
DTSTART:20250604T130000Z
DTEND:20250611T140000Z
DTSTAMP:20260416T084400Z
UID:indico-event-455@math-events.uni-bonn.de
DESCRIPTION:Speakers: Sid Maibach (Uni Bonn)\, Léonie Papon (Durham Unive
 rsity)\n\nWith these minicourses we use the time between the workshops to 
 provide more in-depth introductions to the research of some of the partici
 pants. The lectures take place on Thursdays between 2 and 4 pm at the lec
 ture hall of the HIM Institute.\n\nSchedule:\nMay 29: Guillaume Baverez an
 d Antoine Jego\nJune 5: Thierry Lévy\nJune 12: Thierry Lévy\nJune 19: Gu
 illaume Baverez\nJuly 3: Eric Schippers\nJuly 10: Avelio Sepúlveda\nJuly 
 17: Eric Schippers\nJuly 24: Avelio Sepúlveda\n\nAbstracts:\nAvelio Sepú
 lveda - Domain Markov properties\nIn this mini-course\, I will discuss two
  questions in the context of statistical physics models on graphs:\n\n\n\n
 Which probability laws satisfy the Markov property?\nWhich random sets ind
 uce a Markovian decompositions?\n\n\n\n We will explore these questions i
 n  (hopefully)  three settings: the metric graph\, decorated random plan
 ar maps and continuous domains.  The part concerning decorated planar map
 s will be based on arXiv:2505.05447\, joint work with Pablo Araya and Luis
  Fredes.\nEric Schippers - Teichmüller space and the Segal moduli space\
 nThe Teichmüller space of a Riemann surface is a space of deformations of
  its complex structure. It is a Banach manifold\, whose complex structures
  have many non-trivially equivalent models\, mostly established by the 196
 0s. The Segal moduli space consists of equivalence classes of Riemann surf
 aces with boundary parametrizations. Although the Segal moduli space was i
 nvented decades later\, it turns out that it is nearly the same space\, up
  to a completion and a discrete modular group action. The goal of this min
 icourse is to explain this connection and some of its ramifications\, with
  a minimum of technical details. If time allows I hope to give an introduc
 tion to the general Weil-Petersson Teichmüller theory.\nIn the first talk
 \, I will outline the basic ideas of Teichmüller theory. After that I wil
 l give a heuristic explanation of its relation to the Segal moduli space a
 nd some of the consequences.  \nGuillaume Baverez and Antoine Jego - The 
 CFT of SLE loop measures and the Kontsevich-Suhov conjecture\nThe speakers
  will continue explaining their recent work (arXiv). In particular\, they 
 will show the computation that leads to the Schwarzian derivative in the i
 ntegration by parts formula.\nThierry Lévy - Probabilistic aspects of 2d 
 Yang—Mills theory\n I will discuss some of the notions\, methods and re
 sults listed below\, that relate to the stochastic quantization of 2-dimen
 sional pure Euclidean Yang—Mills theory.\n\nFrom classical electromagnet
 ism to the Yang—Mills action\nLie groups and the geometry of principal b
 undles\nYang—Mills theory on compact surfaces\nSchur—Weyl duality\, in
 tegration and computations in the unitary group\nLarge N limit :  free pr
 obability and the master field\n\n\nOrganizers:\nSid Maibach\nLéonie Papo
 n\n\n*In case of questions concerning services and administration at the H
 IM institute\, please contact the coordinators of the HIM Trimester Progra
 ms\, Emma Seggewiss or Kanami Ueda.\n\nhttps://math-events.uni-bonn.de/ev
 ent/455/
LOCATION:Poppelsdorfer Allee 45\, 1. EG\, Lecture room (HIM)
URL:https://math-events.uni-bonn.de/event/455/
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