# Alvin Jin (KTH): Symplectic Embeddings of Ellipsoids into Polydiscs

**Time: **
Tue 2018-10-16 13.00 - 14.45

**Lecturer: **
Alvin Jin (KTH)

**Location: ** Room 3418, Lindstedtsvägen 25, 4th floor, Department of mathematics, KTH

ABSTRACT: In 1985, Gromov proved his famous non-squeezing theorem using pseudoholomorphic curves. The result was the first obstruction to symplectic embeddings beyond a volume constraint. More recently, McDuff and Schlenk in 2012 discovered an infinite Fibonacci staircase associated with four-dimensional symplectic embeddings of balls into ellipsoids. In this talk, I will discuss recent progress on symplectic embeddings between ellipsoids and polydiscs of dimension four.