[cmi-seminar-external] Lecture Announcement

[VIJAYALAKSHMI V]

Lecture Announcement

Speaker : Amartya Kumar Dutta
ISI, Calcutta

Venue : NKN Hall

Lecture 1
=========

Date : Wednesday, 12 February 2014

Time : 3.30 pm

Title : History of Galois Theory

Abstract: Galois Theory marks a transition between ``high-school
algebra'', the classical approach to solving polynomial equations, and
``college algebra'', the axiomatic study of abstract structures like
groups, fields and rings. In this talk we shall discuss a few aspects
of the development of Field and Galois Theory and the evolution of
Abstract Algebra. The talk will be accessible to students.

Lecture 2
=========

Date : Thursday, 13 February 2014

Time : 12.00 noon

Title : Some Applications of G_a-actions on Affine Varieties

Abstract: The concept of G_a-action can been reformulated in the
convenient ring-theoretic language of ``locally nilpotent derivation''
(in characteristic zero) and ``exponential map'' (in arbitrary
characteristic). Results on locally nilpotent derivations and
exponential maps have played a crucial role in some of the
breakthroughs in affine algebraic geometry during the past two decades
including Makar-Limanov's result on the nontriviality of the
Russell-Koras threefold and Neena Gupta's result on the Zariski
Cancellation Problem. In this talk we shall highlight some of these
applications of locally nilpotent derivations and exponential maps.

Sd/=
Seminar Coordinator

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