Conference - Geometry and Topology in Low Dimensions: Lasting Trends and Emerging Directions
Description
The conference (organized in conjunction with the Clay Institute) brought together experts from various fields of low-dimensional topology.
Each of the five days of the conference will focus on one of the following topics:
- Exotic phenomena
- Contact and symplectic geometry
- Heegaard Floer homology
- Gauge theory
- Knots and knotted surfaces
Each day was introduced by a panoramic talk by a distinguished speaker on the day's special topic, followed by research talks on that topic.
Slides and recordings of the talks
Below are the slides and the recordings of most talks of the conference.
The recordings are also directly accessible on the YouTube channel of the Hungarian Academy of Sciences: https://www.youtube.com/@MTA1825 .
Monday: Exotica
- Daniel Ruberman, Panorama talk on exotica
Slides, video recording - Lisa Piccirillo, Ideal broken Lefshetz fibrations
Slides, video recording - İnanç Baykur, Exotica via symplectica
no slides or video recording available - Sungkyung Kang, Exoticness of Dehn twists in dimension 4
Slides, video recording
Tuesday: Symplectic geometry
- Gordana Matić, Panorama talk on symplectic geometry
Slides, video recording - Laura Starkston, Sandwiched singularities, symplectic fillings, braided planar surfaces, and wiring diagrams
Slides, video recording - Luya Wang, Complements of submanifolds in 4-dimensional Weinstein domains
Slides, video recording - Marco Golla, Topological (non-)realisability of line arrangements
Slides, video recording - Andrew Lobb, Recent progress in peg problems
Slides, video recording
Wednesday: Heegaard Floer homology
- Peter Ozsváth, Panorama talk on Heegaard Floer homology
Slides, video recording - Adam Levine, Knot Floer homology, bordered Floer homology, surgery modules, and immersed curves
Slides, video recording - Jennifer Hom, Distinguishing exotic R4’s with Heegaard Floer homology
Slides, video recording
Thursday: Gauge theory
- Peter Kronheimer, Panorama talk on gauge theory
Slides, video recording - Tom Mrowka, Knot homologies: from the perspective of gauge theory
Slides, video recording - Aliakbar Daemi, What can we learn from instantons if we don’t think rationally?
Slides, video recording - John Morgan, Clay Lecture: Physics, Loop Groups, and Low Dimensional Topology
Slides, video recording
Friday: Knots and surfaces
- Maggie Miller, Panorama talk on knots and surfaces
Slides, video recording - John Baldwin, Ribbon concordance and fibered predecessors
Slides, video recording - Claudius Zibrowius, Khovanov homology and Conway mutation
Slides, video recording
Schedule and information
Click on the links below for information about the event:
- Titles
- Program
- Practical information
- A list of restaurants near the venues of the conference (not complete, of course)
- Below is the conference schedule. Click here for a pdf version.
Poster
Click here to view the high resolution poster.
Acknowledgements
Organised in partnership with the Clay Mathematical Institute.
The conference is partially supported by the National Science Foundation CAREER grant DMS-2237131, by the NKFIH Mecenatúra grant MEC_SZ_26-155926, and by the Erdős Center.