AFS-III - Annual Foundation School - III (Guwahati, 2022)

Speakers and Syllabus

Syllabus, Speakers and Tutors

  1. Field Theory & Galois Theory: Chapters 13 and 14 of [Artin].
    1. Speakers:
      1. Professor Anupam Saikia (IIT Guwahati)
      2. Professor Rupam Barman (IIT Guwahati)
    2. Tutors:
      1. Dr. Jaitra Chattopadhyay (IIT Guwahati)
      2. Mr. Ajit Singh (IIT Guwahati)

  2. Functional Analysis: Chapters 8, 9,10,11 of [Simmons].

    1. Speakers:
      1. Dr. Anjan K. Chakrabarty (IIT Guwahati)
      2. Dr. Arup Chattopadhyay (IIT Guwahati)
    2. Tutors:
      1. Mr. Chandan Pradhan (IIT Guwahati)
      2. Ms. Soma Das (IIT Guwahati)

  3. Algebraic Topology:

    1. Fundamental Group and Covering Spaces[Munkres] Chapters 9 (Fundamental group) and 13 (Covering spaces).

    2. Homology: [Spanier] Chapter 3, 4 / or [Greenberg and Harper] Part II.

    3. Speakers:

      1. Dr. P. A. S. Sree Krishna (IIT Guwahati)
      2. Dr. A. T. Singh (NEHU Shillong)

    4. Tutors:

      1. Ms. Kuwari Mahanta (IIT Guwahati)

      2. Mr. Buddha Dev Ghosh (IIT Guwahati)

Time Table

Tentative time-table:
L stands for lecture hour (1.5 hr), T for tutorial (1 hr)

 

Day

Date

Lecture1

 (09.30-11.00)

 

Lecture2

(11.30-01.00)

 

Tutorial

(3.00-4.00)

 

Tutorial

 (4.15-5.15)

 

Lecture
Subject
(speaker)

Lecture
Subject
(Speaker)

Subject

Subject

WEEK-I

MON

JUNE 20

Algebra-L1 (AS)

T

E

A

Analysis-L1 (AKC)

L

U

N

C

H

 

Algebra-T1
(AS,JC,AS)

T

E

A

Algebra-T2
(AS,JC,AS)

S

N

A

C

K

S

TUE

JUNE 21

Topology-L1 (PASS)

Algebra-L2 (AS)

Analysis-T1
(AKC,CP,SD)

Analysis-T2
(AKC,CP,SD)

WED

JUNE 22

Analysis-L2 (AKC)

Topology-L2 (PASS)

Topology-T1
(PASS,KM,BDG)

Topology-T2
(PASS,KM,BDG)

THU

JUNE 23

Algebra-L3 (AS)

Analysis-L3 (AKC)

Algebra-T3
(AS,JC,AS)

Algebra-T4
(AS,JC,AS)

FRI

JUNE 24

Topology-L3 (PASS)

Algebra-L4 (AS)

Analysis-T3
(AKC,CP,SD)

Analysis-T4
(AKC,CP,SD)

SAT

JUNE 25

Analysis-L4 (AKC)

Topology-L4 (PASS)

Topology-T3
(PASS,KM,BDG)

Topology-T4
(PASS,KM,BDG)

WEEK-II

MON

JUNE 27

Algebra-L5 (AS)

T

E

A

Analysis-L5 (AKC)

L

U

N

C

H

Algebra-T5
(AS,JC,AS)

T

E

A

Algebra-T6
(AS,JC,AS)

S

N

A

C

K

S

TUE

JUNE 28

Topology-L5 (PASS)

Algebra-L6 (AS)

Analysis-T5
(AKC,CP,SD)

Analysis-T6
(AKC,CP,SD)

WED

JUNE 29

Analysis-L6 (AKC)

Topology-L6 (PASS)

Topology-T5
(PASS,KM,BDG)

Topology-T6
(PASS,KM,BDG)

THU

JUNE 30

Algebra-L7 (AS)

Analysis-L7 (AKC)

Algebra-T7
(AS,JC,AS)

Algebra-T8
(AS,JC,AS)

FRI

JULY 1

Topology-L7 (PASS)

Algebra-L8 (AS)

Analysis-T7
(AKC,CP,SD)

Analysis-T8
(AKC,CP,SD)

SAT

JULY 2

Analysis-L8 (AKC)

Topology-L8 (PASS)

Topology-T7
(PASS,KM,BDG)

Topology-T8
(PASS,KM,BDG)

WEEK-III

MON

JULY 4

Algebra-L9 (RB)

T

E

A

Analysis-L9 (AC)

L

U

N

C

H

Algebra-T9
(RB,JC,AS)

T

E

A

Algebra-T10
(RB,JC,AS)

S

N

A

C

K

S

TUE

JULY 5

Topology-L9 (ATS)

Algebra-L10 (RB)

Analysis-T9
(AC,CP,SD)

Analysis-T10
(AC,CP,SD)

WED

JULY 6

Analysis-L10 (AC)

Topology-L10 (ATS)

Topology-T9
(ATS,KM,BDG)

Topology-T10
(ATS,KM,BDG)

THU

JULY 7

Algebra-L11 (RB)

Analysis-L11 (AC)

Algebra-T11
(RB,JC,AS)

Algebra-T12
(RB,JC,AS)

FRI

JULY 8

Topology-L11 (ATS)

Algebra-L12 (RB)

Analysis-T11
(AC,CP,SD)

Analysis-T12
(AC,CP,SD)

SAT

JULY 9

Analysis-L12 (AC)

Topology-L12 (ATS)

Topology-T11
(ATS,KM,BDG)

Topology-T12
(ATS,KM,BDG)

 WEEK-IV

MON

JULY 11

Algebra-L13 (RB)

T

E

A

Analysis-L13 (AC)

L

U

N

C

H

Algebra-T13
(RB,JC,AS)

T

E

A

Algebra-T14
(RB,JC,AS)

S

N

A

C

K

S

TUE

JULY 12

Topology-L13 (ATS)

Algebra-L14 (RB)

Analysis-T13
(AC,CP,SD)

Analysis-T14
(AC,CP,SD)

WED

JULY 13

Analysis-L14 (AC)

Topology-L14 (ATS)

Topology-T13
(ATS,KM,BDG)

Topology-T14
(ATS,KM,BDG)

THU

JULY 14

Algebra-L15 (RB)

Analysis-L15 (AC)

Algebra-T15
(RB,JC,AS)

Algebra-T16
(RB,JC,AS)

FRI

JULY 15

Topology-L15 (ATS)

Algebra-L16 (RB)

Analysis-T15
(AC,CP,SD)

Analysis-T16
(AC,CP,SD)

SAT

JULY 16

Analysis-L16 (AC)

Topology-L16 (ATS)

Topology-T15
(ATS,KM,BDG)

Topology-T16
(ATS,KM,BDG)

References:

  1. M. Artin, Algebra, Second Edition, Prentice Hall of India, 2011.

  2. M. J. Greenberg and J. R. Harper, Algebraic Topology: a first course, Benjamin/Cummings Pub. Co. 1981

  3. G. F. Simmons, Introduction to Topology and Modern Analysis, Tata McGraw-Hill, 2004.

  4. J. R. Munkres, Topology, II-ed. Prentice Hall.

  5. M. A. Armstrong, Basic Topology, Springer.

  6. E. H. Spanier, Algebraic Topology, Springer.

 

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