TEW Complex Analysis (2016) Speakers and Syllabus

Time table

Time M on T ue W ed T hu F ri Sat
10 : 00 − 11 : 30 NN 1 RG 1 SV 3 RG 3 SB 5 RG 6
11 : 45 − 13 : 15 SV 1 NN 3 SB 1 SB 3 N N 5 V al
14 : 00 − 15 : 30 NN 2 RG 2 SV 4 RG 4 SB 6  
15 : 45 − 17 : 15 SV 2 NN 4 SB 2 SB 4 RG 5  

 Monday 7 Nov 2016
NN 1 : Historical introduction and overview for elementary complex analysis.
SV 1 : Introduction to complex number field, elementary algebraic and geometric properties.
NN 2 : Existence and set theoretic constructions in analysis.
SV 2 : Elementary functions on C.
Tuesday 8 Nov 2016
RG 1 : Analytic functions. Cauchy-Riemann equations.
NN 3 : Integration of 1-forms and 2-forms. Stokes’ theorem.
RG 2 : Interactive session/tutorial for RG 1.
NN 4 : Interactive session/tutorial for NN 3.
Wednesday 9 Nov 2016
SV 3 : Complex Integration. Cauchy’s theorem.
SB 1 : Power series expansions.
SV 4 : Interactive session/tutorial for SV 3.
SB 2 : Interactive session/tutorial for SB 1.
Thursday 10 Nov 2016
RG 3 : Cauchy’s integral formula.
SB 3 : Laurent series expansions.
RG 4 : Interactive session/tutorial for RG 3.
SB 4 : Interactive session/tutorial for SB 3.
Friday 11 Nov 2016
SB 5 : Open mapping theorem.
NN 5 : Structure of isolated singularities.
SB 6 : Interactive session/tutorial for SB 5.
RG 5 : Interactive session/tutorial for NN 5.
Saturday 12 Nov 2016
RG 6 : Summary of the course.
Val : Feedback and valedictory session. Suggestions for further study.

Faculty members for the program: Siddhartha Bhattacharya (SB), Radhika Ganapathy (RG), Nitin Nitsure (NN) and Sandeep Varma (SV), all from the School of Mathematics,TIFR.