George Shakan (Oxford) - An analytic approach to cardinalities of Sumsets
| Dates: | 17 March 2020 |
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| Times: | 15:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | George Shakan |
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Abstract : Let U be a subset of Z^d. The quantity |U+U|/|U|, known as the doubling constant, has been extensively studied in additive combinatorics. We replace this with a more complicated notion which enjoys a certain tensorisation property. As a result we obtain a new method for studying high dimensional sumsets analogous to the Prékopa-Leindler inequality. We outline some of the main results, key ideas and applications. This is joint work with Dávid Matolcsi, Imre Ruzsa and Dmitry Zhelezov.
Speaker
George Shakan
Organisation: Oxford University
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Frank Adams 1
Alan Turing Building
Manchester
