Dr. Stergios Antonakoudis, “On Schmidt’s games, badly approximable numbers & winning sets”

Hi all!

The Trinity Mathematical Society is kicking off our extensive 2016 schedule of mathematical events with a talk from Dr. Stergios Antonakoudis (DPMMS) at 8:30PM Monday 25 January in the Winstanley Lecture Theatre, Trinity College. Further details of the event including the title and abstract can be found below.

Speaker: Dr. Stergios Antonakoudis (DPMMS)
Title: On Schmidt’s games, badly approximable numbers & winning sets.
Abstract: Schmidt introduced a simple and powerful way to study certain important sets of real numbers, that although they exhibit remarkable rigidity features, they are ‘too thin’ to be detected using classical methods in analysis. The set of real numbers which badly approximable by rationals is an important example of such a set. In this talk, we will discuss Schmidt’s games, their applications and generalisations in geometry and dynamics.

I should also note that Dr. Antonakoudis has given enterprising members of the audience a warm-up problem to mull over before the talk: Is every real number the difference of two badly approximable numbers? Use the link below to find the definition of that term.

[1]https://en.wikipedia.org/wiki/Diophantine_approximation#Badly_approximable_numbers

As always, there will be complimentary port and juice served before the talk at 8:15PM. This talk is for members only, but there will be a chance to sign-up for TMS membership for £2.50. So, come on down to the Winstanley this Monday if you’d like to explore this burgeoning area of mathematics!

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