NCMW  Quasiconformal mappings and Holomorphic Dynamics
Speakers and Syllabus
Name of the Speaker with affiliation 
No. of Lectures 
Detailed Syllabus 
Kingshook Biswas, 
4 
Uniformization of Riemann Surfaces: 
Sudeb Mitra, 
6 
Quasiconformal Mappings: 
Sabyasachi Mukherjee, TIFRMumbai 
4 
Holomorphic Dynamics in dimension one: FatouJulia sets, dynamics of rational maps, Sullivan's no wandering theorem, Straightening theorem for polynomiallike maps, the Mandelbrot set and uniformizations of hyperbolic components, Jstability and Holomorphic motion 
Sushil Gorai, 
4 
Basic SCV and Slodkowski's theorem for holomorphic motion: Basic notions of several complex variables, holomorphic convexity, domains of holomorphy, polynomial convexity, polynomial hull, automorphisms of complex Euclidean spaces. Construction of polynomial hulls and their relation with holomorphic motion, Slodkowski's proof of extension of holomorphic motion. 
Krishnendu Gongopadhyay, IISER Mohali 
1 
Quasiconformal maps on Heisenberg groups: 
References:
 Lars V Ahlfors, Lectures on Quasiconformal Mappings Second Edition; with additional chapters by C.J. Earle and I. Kra, M. Shishikura, and J. H. Hubbard; American Mathematical Society; 2006.
 L. V. Ahlfors and L. Bers, Riemann’s mapping theorem for variable metrics, Ann. of Math. (2) 72 (1960), 385–404.
 L. Bers, Quasiconformal Mappings, With Applications to Differential Equations, Function Theory and Topology; Bulletin of the AMS, Vol 83, Number 6, 1977.
 C. J. Earle, Some Remarks On The Beltrami Equation, MATH. SCAND. 36 (1975), 44–48.
 Dynamics in one complex variable, John Milnor, Princeton University Press; 3rd edition (22 January 2006).
 Quasiconformal mappings on the Heisenberg group: An overview, arXiv: 1510.02369
Time Table
Time Table:
Duration of each lecture 1.5 hrs and tutorial 1 hour
10:0011:30  Tea  11:451:15  Lunch Break 1:152:30 
2:304:00  Tea  4:305:30 (Discussion Sessions) 

Mon  SMi  SMu  KB  SMu+AB  
Tue  SMi  SG  KB  SMi+NC  
Wed  SMi  SG  KB  Special Lecture: 4:306:00 KG 

Thurs  SMi  SMu  KB  KB+AP  
Fri  SMi  SMu  SG  SG+SM  
Sat  SMi  SG  SMu  SMi+NC 
Speakers with affiliations :
SMi: Prof. Sudeb Mitra  City University of New York
KB: Dr. Kingshook Biswas ISI Kolkata
SG: Dr. Sushil Gorai  IISER Kolkata
SMu: Dr. Sabyasachi Mukherjee  TIFR Mumbai
KG: Prof. Krishnendu Gongopadhyay IISER Mohali
Tutors with affiliations :
NC: Dr. Nishan Chatterjee  Naba Barrackpur Prafulla Chandra Mahavidyalaya
AB: Mr. Anubrato Bhattacharyya  Presidency University
SM: Mr. Subhamoy Mondal  Presidency University
AP: Mr. Arkajit Palchaudhury  ISI Kolkata.