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X-FROM-URL:https://eom.sdu.dk/events/ical/7ef9ac4d-e337-4e84-83d3-4c5d9d0f
 edae
X-WR-CALNAME:Encoding Holonomic D-Modules
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TZID:Europe/Copenhagen
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DTSTAMP:20260911T143406Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: ​Anna-Laura Sattelberger\, Max Planck Institute fo
 r Mathematics in the Sciences[/b]\nQM Meeting room (Ø10-401-1)\n\n​Holono
 mic functions are omnipresent in the sciences. These are functions that a
 re solutions 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 algebra\, encoding annihilating differential operators. Example
 s include A-hypergeometric functions\, Feynman integrals as well as some 
 probability distributions\, just to name a few. In this talk\, I explain 
 how to modify and read fundamental properties of holonomic functions in t
 erms of algebro-geometric methods.\n​The second part of the talk is based
  on joint work with Carlos Rodriguez. Motivated from the theory of Hilber
 t schemes of points\, we transfer the concept of border bases from zero-d
 imensional ideals in polynomial rings to the rational Weyl algebra in ord
 er to encode holonomic ideals. As an application\, we visit differential 
 equations behind a Feynman integral in dimensional regularization.\n​ \n​
 \n​
DTEND:20260917T140000Z
DTSTAMP:20260911T143406Z
DTSTART:20260917T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:Encoding Holonomic D-Modules
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