LAURA DEMARCO AND NIKI MYRTO MAVRAKI Abstract. We study the dynamics of algebraic families of maps on PN, over the eld C of complex numbers, and the geometry of their preperiodic points. The goal of this note is to formulate a conjectural characterization of the subvarieties of …
2 LAURA DEMARCO AND MYRTO MAVRAKI The proofs involve a combination of techniques from arithmetic geometry and com-plex dynamics. As much as possible, we mimic the arguments for 1-parameter families of pairs (f;g) acting on P1 P1 …
LAURA DE MARCO AND NIKI MYRTO MAVRAKI Abstract. Zhuchao Ji and Junyi Xie recently proved that the multiplier spectrum of a map f : P1!P1 will uniquely determine the map up to conjugacy, for a general choice of f (i.e., for f in a Zariski open subset of the space of all maps of degree d, in each degree d > 1).
Algebraic Dynamics Seminar - Harvard University
Myrto Mavraki, Harvard University. September 23. Jit Wu Yap, Harvard University. October 14. Fei Hu, University of Oslo and Harvard University. October 21. Laura DeMarco, Harvard University. October 28. Forrest Flesher, Harvard University. November 4. Holly Krieger, University of Cambridge and Radcliffe Institute.
Sep 7, 2024 · LAURA DE MARCO AND NIKI MYRTO MAVRAKI Abstract. We study algebraic relations among postcritically nite (PCF) param-eters in the family f c(z) = z2 +c. In [GKNY], it was proved that an algebraic curve in C2 contains in nitely many …
LAURA DE MARCO, NIKI MYRTO MAVRAKI, AND HEXI YE Abstract. For each integer d 2, let M d denote the moduli space of maps f : P1!P1 of degree d. We study the geometric con gurations of subsets of postcritically nite (or PCF) maps in M d. A complex-algebraic subvariety Y ˆM d is said to be PCF-special if it contains a Zariski-dense set of PCF maps.
preprint with Myrto Mavraki [DM], we build on the work of Gauthier-Vigny [GV] and her earlier work with Schmidt [MS], in combination with an equidistribution theorem of [YZ], to study the intersections of preperiodic points for families of maps on P 1 .
Algebraic Dynamics Seminar at Harvard - Harvard University
December 3 (Tuesday). Myrto Mavraki, University of Toronto, in BC-MIT Number Theory seminar at Boston College . Past talks
Niki Myrto Mavraki. SC 342 5-8877 mavraki. Elana Kalashnikov (OL) SC 238 6-8366 kalashnikov. Fabian Gundlach. SC 233 6-0829 gundlach. Preceptors . Preceptors. Drew Zemke. SC 423 5-2482 * dzemke. Jill Guerra. SC 209.4 5-1381 * guerra. Senior Preceptors. Voula Collins. SC 209 5-1267 * vcollins. Janet Chen. SC 429 5-2168 * jjchen. Oliver Knill. SC 432
May 8, 2018 · Special thanks go to Matt Baker, Myrto Mavraki, Xiaoguang Wang, and Hexi Ye for many interesting discussions and collaborations which led to the formulation of Conjecture 1.1 and the work that I have done related to it.