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SUMMARY:How to Conjecture and Prove that the Generating Function of the Ya
ng- Zagier Numbers is Algebraic (in person)
DTSTART;VALUE=DATE-TIME:20211201T135000Z
DTEND;VALUE=DATE-TIME:20211201T144000Z
DTSTAMP;VALUE=DATE-TIME:20220810T090911Z
UID:indico-contribution-5969@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sergey Yurkevich (University of Vienna & INRIA)\nIn
a recent paper Don Zagier mentions a mysterious integer sequence $(a_{n})_
{n≥0}$ which arises from a solution of a topological ODE discovered by M
arco Bertola\, Boris Dubrovin and Di Yang. In my talk I show how to conjec
ture\, prove and even quantify that $(a_{n})_{n≥0}$ actually admits an a
lgebraic generating function which is therefore a very particular period.
The methods are based on experimental mathematics and algorithmic ideas in
differential Galois theory\, which I will show in the interactive part of
the talk. The presentation is based on joint work with A. Bostan and J.-A
. Weil.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5969/
LOCATION:Le Bois-Marie Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/7040/contributions/5969/
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