Research
Title : | Rigidity properties of Henon maps |
Area of research : | Mathematical Sciences |
Focus area : | Complex Dynamics |
Principal Investigator : | Dr. Ratna Pal, Indian Institute Of Science Education And Research (IISER) Mohali, Punjab |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | ratna.math@gmail.com |
Details
Executive Summary : | The class of Henon maps is the most important class of polynomial automorphisms in the two dimensional complex space C^2. These are where the modern breakthrough in complex dynamics happened and till date it remained a central theme of study in multi-variable holomorphic dynamics. The present proposal deals with some significant properties of Henon maps which are expected to determine the underlying Henon maps almost uniquely. These properties are called 'rigidity' properties of Henon maps. The questions I discussed in the present proposal are inspired by the classical rigidity results for polynomial maps in one dimensional complex plane. |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute Of Science, Bangalore, Karnataka Education And Research Mohali Funding Agency :Anusandhan National Research Foundation/ Science and Engineering Research Board | Source :Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 | |