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Next seminar:
Next seminar:
15/04/26 - Dariusz Kosz - 5:30 p. m.
15/04/26 - Dariusz Kosz - 5:30 p. m.
(Wrocław University of Science and Technology)
(Wrocław University of Science and Technology)
Pointwise ergodic theorems along polynomial orbits
Abstract. The aim of this talk is to give an overview of the program of extending the classical Birkhoff ergodic theorem to the case of polynomial orbits. In particular, we will discuss recent progress toward resolving the Furstenberg–Bergelson–Leibman conjecture, which concerns multilinear averages involving a family of measure-preserving transformations that generate a nilpotent group. We will also highlight the role of various tools from harmonic analysis in this context. The presentation is based on joint work with Mariusz Mirek, Sarah Peluse, Renhui Wan, and James Wright.
This series of seminars is addressed to an audience interested in Harmonic Analysis in the broadest possible sense. The seminars will not necessarily concern the latest research results; the speaker may also give a talk about open problems or a survey colloquium.
The conferences take place generally every two weeks on Wednesday at 5:30 p. m. (Rome time).
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Organizers:
Tommaso Bruno (Università di Genova)
Valentina Casarino (Università degli Studi di Padova)
Bianca Gariboldi (Università degli Studi di Bergamo)
Alessio Martini (Politecnico di Torino)
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