TEW - Galois Theory (2019)

Speakers and Syllabus


Name of the Speaker
with affiliation

No. of Lectures

Topics
(Sections numbers as in M. Artin)

A.V. Jayanthan

IIT Madras

3     1) Examples of fields, field extensions (15.2)
    2) Algebraic extensions (15.3)
    3) Ruler-compass constructions (15.5)

Sarang Sane

IIT Madras

3

    1) Multiple roots (15.6)
    2) Finite fields (15.7)
    3) Primitive element theorem (15.8)

Manoj Kummini

CMI, Chennai

3

    1) Symmetric functions (16.1, 16.2)
    2) Splitting field of polynomial (16.3)
    3) Isomorphism of Splitting fields (16.4)

Dilip Patil

IISc, Bangalore

3

    1) Fixed field and Artin’s Theorem (16.5)
    2) Galois extensions and their examples (16.6)
    3) Review of group actions, examples of group actions

T. Tamizh Chelvam

M. S. University, Tiruneveli

3

    1) Fundamental theorem of Galois Theory  (16.7)
    2) +  3) Illustrative examples and applications of FTGT (16.8)

J. K. Verma

IIT Bombay

3

    1) Cyclotomic extensions (16.10)
    2) Structure of cyclic extensions of prime degree (16.11)
    3) Quintic equations (16.12)

Time Table

Day Date Lecture 1
9.30 - 11.00
Tea
11.00 11.15
Lecturer 211.1512.45 Lunch
12.45  2.00
Lecture 3
2.00 3.30
Tea
3.30 3..45
Tutorial
3.45 5.15
Monday 08-07-2019 AVJ   SS   AVJ   AVJ+SM+JKV
Tuesday 09-07-2019 SS   AVJ   SS   SS+SM+JKV
Wednesday 10-07-2019 MK   DPP   MK   MK+SM+JKV
Thursday 11-07-2019 DPP   MK   DPP   DPP+SM+JKV
Friday 12-07-2019 JKV   TC   JKV   JKV+SM+DPP
Saturday 13-07-2019 TC   JKV   TC   TC+SM+JKV

 

Speakers and their Affiliations

AV Jayanthan (AVJ)

Department of Mathematics

Indian Institute of Technology, Madras

Chennai 600036

Sarang Sane (SS)

Department of Mathematics

Indian Institute of Technology, Madras

Chennai 600036

ManojKummini (MK)

Department of Mathematics

Chennai Mathematical Institute

Chennai 603103

DilipPatil, (DPP)

Department of Mathematics

Indian Institute of Science

Bangalore 560 012

J.K. Verma, (JKV)

Department of Mathematics

IIT Bombay

Mumbai 400076

T. TamizhChelvam (TC)

Department of Mathematics

ManonmaniamSundaranar University

Tirunelveli 627 012

 

Tutor

Dr. Shreedevi K. Masuti,
Inspire faculty fellow,
Department of Mathematics
Chennai Mathematical Institute
Chennai 603103.
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