| Speaker: | Mengxue Yang (Kavli IPMU) |
|---|---|
| Title: | The $\hbar$-conformal limit and generalized opers |
| Date (JST): | Thu, Nov 30, 2023, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: | In 2014, Gaiotto conjectured that there is a biholomorphism between Hitchin components and spaces of opers on a punctured sphere via a scaling limit called the $\hbar$-conformal limit. On a compact Riemann surface of $g \ge 2$, this biholomorphism has been proven in 2016. From the studies of higher Teichm\"uller spaces, we know that the Hitchin components are part of a larger family of special components in real character varieties that consist of discrete and faithful representations. What are the scaling limits of these other higher Teichm\"uller components? How are they related to opers? |
