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# Tag: slides

## The first dynamical system; Random Number Theory – Ramsey Doccourse Prague 2016

The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.

**Title**: The first dynamical system; and Random Number Theory

**Lecturer**: Carl Pomerance

**Date**: November 8, 2016

**Main Topics**: Chains with , distribution of primes, randomness in math

**Definitions:** Amicable, Perfect, Abundant, Deficient

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## Ramsey and Ultrafilters 2 – Ramsey DocCourse Prague 2016

The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.

**Special thanks** to Ivan Khatchatourian for some elaborations.

**Title**: Ramsey and Ultrafilters 2 (of 2)

**Lecturer**: Slawomir Solecki

**Date**: Friday October 21, 2016.

**Main Topics**: Abstraction of Gowers/Lupini/Furstenberg-Katznelson, worked example with Furstenberg-Katznelson, slides about tensors

**Definitions**: Forestation of a Poset, Semigroup generated by a poset, [Specific to these constructions],

Lecture 1 – Lecture 2

These two lectures are based on the following 2016 paper of Solecki: “Monoid actions and ultrafilter methods in Ramsey theory”.

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