Learning seminar on

"Shift-cyclicity in Hardy spaces"

Overview

Shift-cyclic functions form a rich class of functions in a variety of function spaces, with connections to many deep problems in mathematics such as the invariant subspace problem, dilation completeness problem, and even the Riemann hypothesis. The goal of this seminar is to hone in on the generalized Hardy spaces over the unit polydisk, and discuss the properties of their shift-cyclic functions. We include a wide range of topics, and cover the basics of function theory in several complex variables.

Schedule

The seminar will take place on Sundays every week from 9 - 10:30 AM (Israel Standard Time), starting December 31, 2023 for twelve weeks. The seminar will be held in a hybrid setting, meaning it will be hosted in-person at the Technion but will also be broadcasted via Zoom for those who cannot attend.

For more details about the topics covered in the lectures, please read the attached PDF file.

Overview.pdf

Lecture notes and Speakers

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Speaker: Mikhail Mironov, Technion - Israel Institute of Technology.

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Speaker: Mikhail Mironov, Technion - Israel Institute of Technology.

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Notes: Based on sections 2.3-2.5 from my thesis.

Notes: Based on my paper on CPO.

References

For any additional questions, please contact me at my email id.