## Low-Dimensional Topology

**Date:**
6 - 10 January 2020

**Location: ** Mathematical Institute, University of Oxford

**Event type:**
CMI Workshop

**Organisers: ** David Gabai (Princeton), András Juhász (Oxford), Marc Lackenby (Oxford), András Stipsicz (Renyi)

**Website:**

The aim of this workshop is to present the most recent advances in low-dimensional topology, with a special focus on two areas: The first is the study of surfaces in 4-manifolds, including knot concordance, using techniques from gauge theory, Floer homology, and Khovanov homology. The second is the conjecture relating L-spaces (3-manifolds with the simplest possible Floer homology groups including lens spaces), left-orderability of the fundamental group, and taut foliations on 3-manifolds.

**Speakers: ** Nathan Dowlin (Columbia), Marco Golla (Nantes), Cameron Gordon (Austin), Peter Kronheimer (Harvard), Adam Levine (Duke), Francesco Lin (Princeton), Andrew Lobb (Durham), Maggie Miller (Princeton), Tomasz Mrowka (MIT), András Némethi (Renyi), Lisa Piccirillo (Brandeis and MIT), Jacob Rasmussen (Cambridge), Sarah Rasmussen (Cambridge), Arunima Ray (MPIM Bonn), Daniel Ruberman (Brandeis), Steven Sivek (Imperial), Ian Zemke (Princeton)