Shadow sequences of integers.
Speaker:
Valentin Ovsienko, Centre national de la recherche scientifique (CNRS) and University of Reims
Date and Time:
Tuesday, March 22, 2022 - 12:00pm to 12:30pm
Location:
Fields Institute, Room 230
Abstract:
The following general idea looks crazy. What if every integer sequence has another integer sequence that follows it like a shadow? I will demonstrate that this is indeed the case, though perhaps not for every integer sequence, but for many of them. The source of these shadow sequences is the theory of cluster algebras and superalgebras. I will construct shadows of some classical sequences: Fibonacci, Somos... A very interesting example is that of the Markov numbers.