On Littlewood’s conjecture in Diophantine approximation

On Littlewood’s conjecture in Diophantine approximation

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Evgeni Dimitrov, Princeton University
Fine Hall 601

The purpose of my talk will be to present some of the results that have been established for Littlewood’s conjecture. In the first part of the discussion I will give an expository overview of what is currently known about the conjecture and what are some of the questions that naturally arise from it. In the second part I will present in more detail the seminal work of Andrew Pollington and Sanju Velani from their 2001 paper: “On a problem in simultaneous Diophantine approximation: Littlewood’s conjecture.”