The Second Seminar
Robert Osburn
19 May 2025
Speaker
- Robert Osburn (University College Dublin)
Location and Schedule
The seminar will be held at the University of Galway in AC201 on the Concourse of the Arts/Science building.
| Monday | |
|---|---|
| 10:00 – 11:00 | Knots and modular forms I |
| 11:00 – 12:30 | Coffee, Tea, and Discussions |
| 12:30 – 14:00 | Lunch Break |
| 14:00 – 15:00 | Knots and modular forms II |
| 15:00 – | Discussions, Drinks, and Food |
Topics and background reading
Knots and modular forms
- In 2006, Dasbach and Lin observed stability in the coefficients of the Nth colored Jones polynomial for alternating knots. This observation and its consequences sparked a flurry of activity in both number theory and quantum topology. For example, Garoufalidis, Le and Zagier conjectured identities which have a striking resemblance to those occurring in the classical setting of Andrews and Gordon. In these talks, we discuss these developments and recent joint work with Matthias Storzer (UCD) which connects arborescent links and modular forms.
- References: arXiv:0604230, arXiv:1112.3905, and arXiv:2504.18060
Sponsors
The SEA Seminar is generously supported by Research Ireland.