AFS-III - Annual Foundation School -III (Pune 2023)
Speakers and Syllabus
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Field and Galois Theory
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We will cover most of the material found in Chapters 15 and 16 found in Michael Artin’s Algebra, Pearson, 1991.
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References
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M. Artin: Algebra, 2nd Edition, Prentice Hall of India, 2011. 2. S. Lang: Algebra, Revised 3GP Edition, Springer. 3. N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover, 2011.
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Speakers
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S. A. Katre (Ex-Savitribai Phule Pune University)
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Ganesh Kadu (Savitribai Phule Pune University)
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Rabeya Basu (IISER, Pune)
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Dilip Patil (Ex- IISc, Bangalore)
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Course Associates:
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Maria Mathew (MM) (IISER, Pune)
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Clifford Rodrigues (IISER, Pune)
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Jatin Majithia (JM) (IIIT, Pune)
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Functional Analysis
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We will cover most of the material found in Chapters 8, 9, 10 and 11 of Simmons book Introduction to Topology and Modern Analysis.
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References
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G. F. Simmons: Introduction to Topology and Modern Analysis
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Speakers
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Sourav Pal (IITB)
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V. M. Sholapurkar (S. P. College, Pune)
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Sameer Chavan (IIT Kanpur)
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Course Associates
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Geetanjali Phatak (S P College, Pune)
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Abhrojyoti Sen (AS) (IISER, Pune)
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Chaitanya Ambi (CA) (IISER Pune)
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Topology III
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We will cover most of the material found in Chapters 9 and 13 of Munkres’s Topology book and Chapters 3 and 4 of Spanier’s book.
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References
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E. H. Spanier: Algebraic Topology, Springer.
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M. J. Greenberg and J. R. Harper: Algebraic Topology: A first course.
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J. R. Munkres: Topology, A First Course, Prentice-Hall of India, New Delhi, 1987.
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Speakers
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Nitin Nitsure (Ex-Prof. TIFR)
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Hemant Bhate (Ex. Emeritus Prof. – SPPU, Pune)
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Course Associates
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Sagar Kalane (SK) (IISER, Pune)
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Prashant Arote (PA) (IISER, Pune)
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Time Table
Time Table for each week:
Week 1 June 19 to 24, 2023
|
Day |
Lecture-1 |
Tea Break |
Lecture-2 |
Lunch Break |
Tutorial-1 |
Tea |
Tutorial-2 |
|
|
(9.45 – 11.15) |
11.15 |
(11.30 – 13.00) |
13.00 |
(14.30-15.30) |
15.30 |
(15.45-16.45) |
|
Monday |
Algebra (RB) |
-- |
Analysis (SP) |
-- |
Alg-T1 (RB+ JM+CR) |
-- |
Alg-T2 (RB+ JM+CR) |
|
Tuesday |
Alg. Top (HB) |
-- |
Algebra (RB) |
-- |
Analysis-T1 (SP+GP+AS) |
-- |
Analysis-T2 (SP+GP+AS) |
|
Wednesday |
Alg. Top (HB) |
-- |
Analysis (SP) |
-- |
Alg. Top-T1 (HB+SK+ PA) |
-- |
Alg. Top-T2 (HB+SK+ PA) |
|
Thursday |
Algebra (RB) |
-- |
Analysis (SP) |
-- |
Alg-T3 (RB+JM+CR) |
-- |
Alg-T4 (RB+JM+CR) |
|
Friday |
Alg. Top (HB) |
-- |
Algebra (RB) |
-- |
Analysis-T3 (SP+GP+AS) |
-- |
Analysis-T4 (SP+GP+AS) |
|
Saturday |
Alg. Top (HB) |
-- |
Analysis (SP) |
-- |
Alg. Top T3 (HB+SK+ PA) |
-- |
Alg. Top-T4 (HB+SK+ PA) |
Week 2 June 26 to July 1, 2023
|
Day |
Lecture-1 |
Tea |
Lecture-2 |
Lunch |
Tutorial-1 |
Tea |
Tutorial-2 |
|
|
(9.45 – 11.15) |
11.15 to 11.30 |
(11.30 – 13.00) |
13.00 to 14.30 |
(14.30-15.30) |
15.30 to 15.45 |
(15.45-16.45) |
|
Monday |
Algebra (SAK) |
-- |
Analysis (SP) |
-- |
Alg-T1 (SAK+MM+CR) |
-- |
Alg-T2 (SAK+MM+CR) |
|
Tuesday |
Alg. Top (HB) |
-- |
Algebra (SAK) |
-- |
Analysis-T1 (SP+GP+AS) |
-- |
Analysis-T2 (SP+GP+AS) |
|
Wednesday |
Alg. Top (HB) |
-- |
Analysis (SP) |
-- |
Alg. Top-T1 (HB+SK+ PA) |
-- |
Alg. Top-T2 (HB+SK+ PA) |
|
Thursday |
Algebra (SAK) |
-- |
Analysis (VMS) |
-- |
Alg-T3 (SAK+MM+CR) |
-- |
Alg-T4 (SAK+MM+CR) |
|
Friday |
Alg. Top (HB) |
-- |
Algebra (SAK) |
-- |
Analysis-T3 (VMS+GP+AS) |
-- |
Analysis-T4 (VMS+GP+AS) |
|
Saturday |
Analysis (VMS) |
-- |
Alg. Top (HB) |
-- |
Alg. Top-T3 (HB+SK+ PA) |
-- |
Alg. Top-T4 (HB+SK+ PA) |
Week 3 July 3 to 8, 2023
|
Day |
Lecture-1 |
Tea |
Lecture-2 |
Lunch |
Tutorial-1 |
Tea |
Tutorial-2 |
|
|
(9.45 – 11.15) |
11.15 to 11.30 |
(11.30 – 13.00) |
13.00 to 14.30 |
(14.30-15.30) |
15.30 to 15.45 |
(15.45-16.45) |
|
Monday |
Algebra (GSK) |
-- |
Analysis (VMS) |
-- |
Alg-T1 GSK+MM+JM |
-- |
Alg-T2 GSK+MM+JM |
|
Tuesday |
Alg. Top (NN) |
-- |
Algebra (GSK) |
-- |
Analysis-T1 VMS +CA+PA |
-- |
Analysis-T2 VMS+CA+PA |
|
Wednesday |
Analysis (VMS) |
-- |
Alg. Top (NN) |
-- |
Alg. Top-T1 (NN+SK+ PA) |
-- |
Alg. Top-T2 (NN+SK+ PA) |
|
Thursday |
Algebra (GSK) |
-- |
Analysis (VMS) |
-- |
Alg-T3 GSK+MM+JM |
-- |
Alg-T4 GSK+MM+JM |
|
Friday |
Alg. Top (NN) |
-- |
Algebra (GSK) |
-- |
Analysis-T3 VMS +CA+AS |
-- |
Analysis-T4 VMS+CA+AS |
|
Saturday |
Analysis (VMS) |
-- |
Alg. Top (NN) |
-- |
Alg. Top- T3 (NN+SK+ PA) |
-- |
Alg. Top-T4 (NN+SK+ PA) |
Week 4 July 10 to 15, 2023
|
Day |
Lecture-1 |
Tea |
Lecture-2 |
Lunch |
Tutorial-1 |
Tea |
Tutorial-2 |
|
|
(9.45 – 11.15) |
11.15 to 11.30 |
(11.30 – 13.00) |
13.00 to 14.30 |
(14.30-15.30) |
15.30 to 15.45 |
(15.45-16.45) |
|
Monday |
Algebra (DP) |
-- |
Analysis (SC) |
-- |
Alg-T1 (DP+MM+JM) |
-- |
Alg-T2 (DP+MM+JM) |
|
Tuesday |
Alg. Top (NN) |
-- |
Algebra (DP) |
-- |
Analysis-T1 (SC+CA+AS) |
-- |
Analysis-T2 (SC+CA+AS) |
|
Wednesday |
Analysis (SC) |
-- |
Alg. Top (NN) |
-- |
Alg. Top-T1 (NN+SK+ PA) |
-- |
Alg. Top-T2 (NN+SK+ PA) |
|
Thursday |
Algebra (DP) |
-- |
Analysis (SC) |
-- |
Alg-T3 (DP+MM+JM) |
-- |
Alg-T4 (DP+MM+JM) |
|
Friday |
Alg. Top (NN) |
-- |
Algebra (DP) |
-- |
Analysis-T3 (SC+CA+AS) |
-- |
Analysis-T4 (SC+CA+AS) |
|
Saturday |
Analysis (SC) |
-- |
Alg. Top (NN) |
-- |
Alg. Top-T3 (NN+SK+ PA) |
-- |
Alg. Top-T4 (NN+SK+ PA) |
|
Sr. No. |
Subject |
Speakers |
Tutors |
|
1 |
Algebra |
S. A. Katre (SAK) |
Maria Mathew (MM), Clifford Rodrigues (CR) & Jatin Majithia (JM) |
|
2 |
Ganesh Kadu (GSK) |
||
|
3 |
Rabeya Basu (RB) |
||
|
4 |
Dilip Patil (DP) |
||
|
5 |
Algebraic Topology |
Hemant Bhate (HB) |
Sagar Kalane (SK) & Prashant Arote (PA) |
|
6 |
Nitin Nitsure (NN) |
||
|
7 |
Analysis |
Sourav Pal (SP) |
Geetanjali Phatak (GP), Abhrojyoti Sen (AS) & Chaitanya Ambi (CA) |
|
V. M. Sholapurkar (VMS) |
|||
|
8 |
Saneer Chavan (SC) |