Wednesday June 18th, 2025 | |
| Time: | 2:15 PM - 3:15 PM |
| Title: | Near-Degenerate Regime in Transcendental Dynamics |
| Speaker: | Kostiantyn Drach, Universitat de Barcelona |
| Abstract: | |
| Near-Degenerate Regime, i.e., a collection of tools and ideas to control degeneration of Riemann surfaces endowed with dynamics, has been instrumental in the most recent progress towards the MLC Conjecture and understanding rigidity of quadratic polynomials. Likewise, it was one of the key ingredients of extending Yoccoz's results from quadratic polynomials to polynomials of higher degree. In this talk, based on joint work in progress with Dima Dudko, we introduce this set of ideas into Transcendental Dynamics (to Yoccoz-type maps in the Speiser class) and discuss possible applications to rigidity as well as to Thurston-type realization problems. | |