Parsell-Vinogradov systems in higher dimensions

Thursday, October 26, 2017 1:30 pm - 1:30 pm EDT (GMT -04:00)
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Shaoming Guo, Indiana University Bloomington

I will present a few results on counting the numbers of integer solutions of Parsell-Vinogradov systems in higher dimensions. A few techniques from harmonic analysis are crucial in our approach. They are Brascamp-Lieb inequalities, multi-linear Kakeya inequalities, induction on scales, etc.

MC 5501