TIMC-FC Regional Programme on Real and Functional Analysis.

Date: 
Fri, 16th Dec 2016 to Sun, 18th Dec 2016
Venue: 

Fergusson College, Pune, Maharashtra

Details:

Coordinators:
  • Dr. V. V. Acharya
Speakers:
  • Dr. Chandrasheel Bhagwat, IISER Pune
  • Dr. Rohit Holkar, IISER Pune
Supported by:
  • TIMC, Fergusson College
Participants:
  • About 30 B.Sc. (Mathematics) 3rd Year/ M.Sc. (Mathematics) 1st Year students and a few undergraduate teachers.
Theme:
  • To discuss some of the interesting topics in real analysis and functional analysis which are typically not covered in detail in the regular mathematics curriculum at undergraduate level.
Topics:
  • Function spaces: Space of continuous functions on a compact metric space, Metric given by uniform convergence, Banach *-algebra structure, Introduction to Banach spaces and linear operators, Spectrum of an element of Banach *-algebra, Computations in some special and simple cases
  • Arzela-Ascoli Theorem and its applications in Functional analysis and other areas of Mathematics
  • Introduction to measure theory and integration via Lebesgue measure on [0,1] and analysis on spaces like L^1  [0,1], L^2 [0,1] etc., Introduction to Fourier analysis
Programme:
  • Six lectures of 90 minutes each (2 per day, 3 days)
  • Problem solving sessions of 2 hours every day for 3 days.