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X-FROM-URL:https://eom.sdu.dk/events/ical/7ef9ac4d-e337-4e84-83d3-4c5d9d0f
 edae
X-WR-CALNAME:QM Research Seminar: Encoding Holonomic D-Modules
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20261112T113840Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: ​Anna-Laura Sattelberger [/b](Max Planck Institute
  for Mathematics in the Sciences)\n\n[b]Abstract:[/b]\n​Holonomic functio
 ns are omnipresent in the sciences. These are functions that are solution
 s to sufficiently large systems of linear partial differential equations 
 with polynomial coefficients. As such\, they can be tackled by algebraic 
 analysis: holonomic functions can be encoded by left ideals in the Weyl a
 lgebra\, encoding annihilating differential operators. Examples include A
 -hypergeometric functions\, Feynman integrals as well as some probability
  distributions\, just to name a few. In this talk\, I explain how to modi
 fy and read fundamental properties of holonomic functions in terms of alg
 ebro-geometric methods.\n​The second part of the talk is based on joint w
 ork with Carlos Rodriguez. Motivated from the theory of Hilbert schemes o
 f points\, we transfer the concept of border bases from zero-dimensional 
 ideals in polynomial rings to the rational Weyl algebra in order to encod
 e holonomic ideals. As an application\, we visit differential equations b
 ehind a Feynman integral in dimensional regularization.\n​ \n​\n​
DTEND:20260917T140000Z
DTSTAMP:20261112T113840Z
DTSTART:20260917T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Encoding Holonomic D-Modules
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