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SUMMARY:Michael Barz (Princeton University)
DTSTART:20241209T153000Z
DTEND:20241209T170000Z
DTSTAMP:20260422T220727Z
UID:STAGE/115
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/115/">
 Irregular connections and the Stokes phenomena</a>\nby Michael Barz (Princ
 eton University) as part of STAGE\n\nLecture held in Room 2-449 in the MIT
  Simons Building.\n\nAbstract\nDeligne's book focuses mostly on connection
 s with <i>regular</i> singularities -- in the 1970s\, Deligne found connec
 tions with irregular singularities to be pathological (see his article "Po
 urquoi un géomètre algébriste s'intéresse-t-il aux connexions irrégul
 ières?"). But since then\, Deligne\, Malgrange\, Sibuya\, and many others
  have noticed that irregular connections are home to many interesting phen
 omena which seem to mirror things occurring for ell-adic sheaves.\n\nRegul
 ar connections are the simplest to understand since\, by Riemann-Hilbert\,
  they are completely determined by the monodromy of their solutions. Unfor
 tunately\, this fails for irregular connections -- there are nontrivial ir
 regular connections whose solutions have no monodromy. In this talk we des
 cribe the Stokes data which one can use to help understand irregular conne
 ctions.\n\nReference: Malgrange\, <i>Équations Différentielles à Coeffi
 cients Polynomiaux</i>\, chapters 3 and 4\nBabbitt and Varadarajan\, <i>Lo
 cal moduli for meromorphic differential equations</i>\nDeligne\, Malgrange
 \, and Ramis\, <i>Singularités Irrégulières: Correspondance et document
 s</i>\, particularly the 19.4.78 letter from Deligne to Malgrange.\n
LOCATION:https://researchseminars.org/talk/STAGE/115/
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