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UID:163@cds.iisc.ac.in
DTSTART;TZID=Asia/Kolkata:20251128T110000
DTEND;TZID=Asia/Kolkata:20251128T120000
DTSTAMP:20251124T163531Z
URL:https://cds.iisc.ac.in/events/seminar-cds-102-november-28th-1100-areas
 -of-regions-and-open-problems/
SUMMARY:{Seminar} @ CDS: #102\, November 28th : 11:00: "Areas of Regions an
 d Open Problems."
DESCRIPTION:Department of Computational and Data Sciences\nDepartment Semin
 ar\n\n\n\nSpeaker : Prof. Swadesh Kumar Sahoo\nTitle : "Areas of Regions a
 nd Open Problems"\nDate &amp\; Time: November 28th\, 2025 (Friday)\, 11:00
  AM\nVenue : # 102\, CDS Seminar Hall\n\n\n\nABSTRACT\n\nThis talk studies
  the areas of image regions produced by certain complex functions and rela
 ted open problems. It focuses on analytic functions defined on the unit di
 sk that are one-to-one and normalized in a standard way\, and it uses an i
 ntegral quantity that measures the area of the region obtained by mapping 
 a disk under such a function. The main aim is to understand the area when 
 the function is modified by dividing the variable by the function value\, 
 within well-known families of functions that have specific geometric behav
 ior. The work includes a conjecture proposed by Yamashita in nineteen nine
 ty\, later solved in two thousand thirteen\, and also revisits the famous 
 Bieberbach conjecture about bounds on coefficients of univalent functions\
 , which was proved by Louis de Branges after about seventy years. Some of 
 the associated open problems and challenges will alsobe highlighted.\n\nBI
 O: Dr. Swadesh Kumar Sahoo is a Professor in the Department of Mathematics
  at the Indian Institute of Technology (IIT) Indore\, specializing in Comp
 lex Variables and Hyperbolic Geometry. He joined IIT Indore in 2010. Prof.
  Sahoo has established himself as a distinguished researcher through his e
 xcellent publications in leading international journals including Journal 
 of Mathematical Analysis and Applications\, Computational Methods and Func
 tion Theory\, Acta Mathematica Hungarica\, Bulletin of the Malaysian Mathe
 matical Sciences Society\, Mediterranean Journal of Mathematics\, and Resu
 lts in Mathematics IIT Indore. His significant research contributions incl
 ude work on successive coefficients for spirallike functions\, Bohr inequa
 lities for integral operators\, radius of convexity problems\, Hornich ope
 rations on functions of bounded boundary rotations\, and geometric propert
 ies of conformal mappings and hyperbolic metrics. His scholarly impact is 
 reflected in extensive citations within the academic community\, and he se
 rves as Technical Editor for The Journal of Analysis (Springer) while main
 taining active involvement in organizing international conferences and adv
 ancing mathematical research excellence at IIT Indore.\n\nHost Faculty: Dr
 . Ratikanta Behera\n\n\n\nALL ARE WELCOME
CATEGORIES:Events,Talks
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