IST - Complex Analysis (2019)

Speakers and Syllabus


Syllabus:

Week 1: (quick revision of standard material)

Complex differentiation, local Cauchy theorem, power series representation, open mapping theorem, maximum modulus theorem, global Cauchy theorem and the calculus of residues.

Week 2:

The Schwarz lemma, automorphisms of the disc, Phragmen-Lindelof theorem, Runge's theorem, Mittag-Leffler theorem and the Riemann Mapping theorem, time permitting Picard's theorem

References:

  • Rudin: Real and complex analysis
  • Conway: Functions of one complex variable

Speakers:

  • (13-18 May 2018)
    •  Vikramjeet Singh Chandel (Post doc at IIT Bombay)
    • Amar Deep Sarkar (Research Associate at IISc)
  • (20-25 May 2018)
    • Sushil Gorai (Asst Prof at IISER Kolkata)
    • G P Balakumar (Asst Prof at IIT Palakkad)
    • Prof. Kaushal Verma will give a few lectures.

Associate Teachers:

  • (13-18 May 2018)
    •  Gopal Datt: (Postdoc at IISc)
    •  SayaniBera (Postdoc at RKMVU, Belur)
  • (20-25 May 2018)
    • Diganta Borah (Asst Prof at IISER Pune)
    • Rohit Joshi (Post Doc at Bhaskaracharya Pratishthana)

Time Table


It is planned to follow the standard time table of IST. Weekly Time Table is as follows:

 

09.30

11.00

11.30

1.00

2.30

3.30

3.45

4.45

Mon

L1

T

E

A

L2

L

U

N

C

H

T1

T

E

A

T2

 

 

S
N
A
C
K
S

 

 

 

 

 

Tues

L3

L4

T3

T4

Wed

L5

L6

T5

T6

Thur

L7

L8

T7

T8

Fri

L9

L10

T9

T10

Sat

L11

L12

T11

T12

 

 

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