College of Liberal Arts & Sciences

# Mathematics Colloquium - Andras Stipsicz

Speaker:

Andras Stipsicz - Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences

Topic:

"The Upsilon-invariant of knots"

**Abstract:** Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a 3-manifold, a knot in it). For knots in the 3-sphere, the invariant 'categorifies' the Alexander polynomial, and provides further interesting information about knots. In its most general form the construction provides a bifiltered chain complex.

Recently, in collaboration with P. Ozsvath and Z. Szabo, we have found a new way of getting knot invariants out of this chain complex, leading to a 1-parameter family of concordance invariants, called the Upsilon-invariant of the knot. I will explain the idea behind the definition, and show a simple application of the Upsilon-function.

Event Date:

September 19, 2017 - 3:30pm to 4:30pm

Location:

213 MLH

Host:

Keiko Kawamuro

Calendar Category:

Colloquium