Seminar 1

Venue: LH623

Time: 5-6:30 pm

Date: 8th April 2019.

Title: Differential calculus via commutative algebra.

Abstract: In this talk, we will see how to use the tools of commutative algebra to get algebraic definitions and results inspired by usual differential calculus. This is of importance in algebraic geometry, algebraic groups and in modern number theory

Seminar 2

Venue: LH-310 (in Lecture hall complex)

Time: 4pm

Date: 10.04.2019 (Wednesday)

Speaker: Nitin Nitsure,

(School of Mathematics, TIFR, Mumbai)

Title: A glimpse into the Foundations of Mathematics.

Abstract: What is Mathematics about? What does it mean to say that some mathematical objects exist? What is the meaning of `truth' in mathematics? What is a proof? Why should we believe in the resulting theorems?

Foundational questions such as these have intrigued common people, as well as mathematicians and philosophers, for ages. In this talk, we will take a look at these questions, and at some of their suggested answers from ancient to modern times. Most of the talk will be understandable by undergraduate students of all subjects, who have had some exposure to mathematics.

Seminar 3

Speaker: Professor Nitin Nitsure

(School of Mathematics, TIFR, Mumbai)

Venue: MZ 195, Committee Room, Department of Mathematics

Time: 9:30-11:00 am

Date: 12th April 2019.

Title: The implicit function theorem in algebraic geometry.

Abstract: The implicit function theorem is a cornerstone of differential calculus as applied to manifolds. We will talk about its analogue in algebraic geometry, which led to important historical developments such as algebraic spaces and etale cohomology.