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UID:node-3062563@mathematics.huji.ac.il
DTSTAMP:20211031T114000Z
DTSTART:20211031T114000Z
DTEND:20211031T132500Z
SUMMARY: Kazhdan seminar: Ehud de Shalit - Difference Equations
DESCRIPTION:Zoom link:\nhttps://huji.zoom.us/j/89171959478?pwd=Mmt1UWVteTkrWTBHajY3eEswQTQwZz09 [1]\nMeeting ID: 891 7195 9478\nPasscode: 161803\nDescription: I will go over recent work of Schafkeand Singer on the \nrationality of power seriessatisfying a pair of q-difference equations with \nrespect to multiplicatively independent\nq's and their Mahler equations analogues. This work complements previous \nresults by\nBezivin, Boutaba, Adamczewski and Bell, and is motivated by questions in \ntranscendence\ntheory. I will then go over work of mine from 2020, exploringthe same \nquestions over fields\nof elliptic functions. New phenomena arise and new methods are required. In \nthe last\npart of the seminar I will go over the preprint "Algebraic independence and \nlinear difference\nequations" by Adamczewski, Dreyfus, Hardouin and \nWibmer,https://arxiv.org/abs/2010.09266 [2], that uses methods from the \nGalois theory of difference equations to strengthen the earlier results over \nrational function fields. My hope is to gain insight into...
LOCATION:The link will be sent to you after registration
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