Research: Number Theory

Summer School 2020: Ergodic Theory with Applications to Continued Fractions

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From May 18 to May 22 2020 the University of North Carolina Greensboro will host the UNCG Summer School in Computational Number Theory and Algebra: Ergodic Theory with Applications to Continued Fractions. The summer school will take place in a live online format. The hours of the school will be during the daytimes of the Eastern Daylight Time Zone (EDT, i.e. UTC -4h, see schedule below).

Ergodic theory is the study of the long term behavior of points and sets under iterations of a measure preserving transformation. What better way to learn the subject than see it in action through its applications to number theory ?

This program is targeted primarily at early stage graduate students in mathematics with an interest in dynamical systems and number theory.

Questions? Email us at uncg2020summerschool@gmail.com


Speakers


Lecture Notes

UNCG_Ergodic_Theory_Summer_School_2020

Lecture-6-Computational-Experiments-with-Mathematica.nb (Mathematica Notebook)

Current Schedule

The hours of the school will be during the daytimes of the Eastern Daylight Time Zone (EDT, i.e. UTC -4h).

Monday, 5/18

09:00 Introductions
09:30 Lecture I
10:00 Problem Session I
11:30 Discussion Session I
12:00 End of session
13:00 Lecture II
13:30 Problem Session II
15:00 Discussion Session II
15:30 End of day

Tuesday, 5/19

09:00 Lecture III
09:30 Problem Session III
11:00 Discussion Session III
11:30 End of session
13:00 Lecture IV
13:30 Problem Session IV
15:00 Discussion Session IV
15:30 End of day

Wednesday, 5/20

09:00 Lecture V
09:30 Problem Session V
11:00 Discussion Session V
11:30 End of session
13:00 Lecture VI
13:30 Problem Session VI
15:00 Discussion Session VI
15:30 End of day
16:00 Social session
17:00 End social session

Thursday, 5/21

09:00 Lecture VII
09:30 Problem Session VII
11:00 Discussion Session VII
11:30 End of session
13:00 Lecture VIII
13:30 Problem Session VIII
15:00 Discussion Session VIII
15:30 Talk: Sideways Dynamics, by Karl Petersen, UNC Chapel Hill, retired

Friday, 5/22

09:00 Lecture IX
09:30 Problem Session IX
11:00 Discussion Session IX
11:30 End of session
13:00 Lecture X
13:30 Problem Session X
15:00 Discussion Session X
15:30 Closing remarks
16:00 End of summer school

Non-participants are welcome to listen and participate in lectures, but not in the breakout/problem sessions.  The breakout sessions are deliberately kept small in order to be manageable.


Organizers

Talia Fernos, Sebastian Pauli, Filip Saidak, Clifford Smyth, Brett Tangedal, Dan Yasaki


Acknowledgements

NSF Logo The summer school in computational number theory is supported by UNCG and the NSF.