The Teachers' Enrichment Workshop (TEW) series is a programme of the National Centre for Mathematics (NCM), which sponsors instructional schools and workshops at several levels in various places across the country. It is meant for college teachers to revisit and update their content knowledge. The lectures will cover specific topics which are relevant for what teachers themselves teach in their classrooms. An important component of the workshop is the discussion hour during which the teachers will have opportunities to get their doubts cleared and work out exercises, both routine and advanced.
This Workshop on Galois Theory and Complex Analysis is meant primarily for Mathematics teachers of Govt./Aided Arts and Science Colleges in Kerala. The participants will be provided accommodation on request.

Syllabus:

GALOIS THEORY

• Algebraic Extensions
• Classical Straight Edge and Compass Constructions
• Splitting Fields
• Separable Extensions
• Cyclotomic Extensions
• Finite Field Extensions
• Fundamental Theorem of Galois theory
• Computation of Galois groups
• Hilbert 90
• Artin Schreier Theory
• Kummer Theory.

COMPLEX ANALYSIS
Review of the basics of Complex analysis along with some standard topics like Cauchy's theorem and consequences.                           

Infinite products

• Weierstrass Factorization theorem
• Mittag-Leffler factorization theorem
• Dirichlet Problem

  Speakers

Time Table: