Ph.D. defense seminar

Date:  Wednesday, 26th July, 3 pm

---------------------------------------
Host: Debanjana Mitra

Venue: Ramanujan Hall

Speaker: Wasim Akram

Title: Feedback stabilization of certain evolution equations and its numerical study

Mathematics Colloquium

Wednesday, 26 July, 4 pm

======================

Host: J. K. Verma

Venue: Ramanujan Hall

Speaker: Vaibhav Pandey

Affiliation: Purdue University, West Lafayette, IN, USA

Title: Classical invariant theory

Abstract: Invariant theory has played a key role in the development of modern commutative algebra. The classical invariant theory has a rich history going back at least to the seminal contributions of David Hilbert and Emmy Noether. The beauty of the subject lies in its strong insistence on computations and on the far-reaching consequences of these computations in modern algebra.

In this talk, we will focus on the classical invariant rings---they are the fixed subrings of the natural actions of linear algebraic groups on polynomial rings. Exploring key properties of these rings over rational numbers was a major research program in the late eighteenth century. We will talk about these properties and prove the corresponding ring theoretic properties of these invariant rings over fields of positive characteristic. This is joint work with Mel Hochster, Jack Jeffries, and Anurag Singh.