CACAAG seminar

10 AM Friday, 10 March, 2023.

Venue: Ramanujan Hall

Host: Madhusudan Manjunath

Speaker: Madhusudan Manjunath

Affiliation: IIT Bombay

Title: Unimodality and Log concavity in Algebra, Geometry and Combinatorics.

Abstract:  We will start with a gentle introduction to this topic with the goal of touching upon recent developments. 

This is intended as the first of a series of talks on this topic. We will not assume any particular background and

encourage students to attend. 

GGT seminar

Date and time: 10/03/23 at 12:30 PM

Venue: Ramanujan Hall, Department of Mathematics

Host: Rekha Santhanam

Speaker:  Samyak Jha

Affiliation:  IIT Bombay

Title: Free Groups and Objects

Abstract:  In this seminar, I will discuss about Free Objects in a category , the topology of Free Groups and the combinatorial way of describing groups

GGT seminar

Date and time: 17th March 2023  at 12:35 PM

Venue: Room no 114, Department of Mathematics

Host: Rekha Santhanam

Shantanu Nene (BS Math 3rd year) will be speaking on;

Title: Free Groups and Folding
Abstract: In this seminar, I will discuss folding of graphs, graph immersions, and a few applications of folding.

Analysis Seminar

Friday, 10/03/2023, 4 pm

Venue:  Ramanujan Hall

Host: Sanjoy Pusti

Speaker: Chandan Biswas

Affiliation: IISc, Bangalore

Title: A gentle introduction to Fourier restriction inequalities

Abstract: Initiated by Elias Stein in late 1960’s the Fourier restriction conjecture has played a central part in the development of modern harmonic analysis. Despite continuous progress over the last five decades, currently this remains out of reach in dimensions bigger than two. To get a better sense of restriction inequalities, we consider Fourier restriction estimates onto curves $\gamma : \R \to \Rd$. Even in this well-explored setting, there are many basic questions that remain open such as the question of existence of maximizers for such inequalities. This talk will be a gentle introduction to such questions and some recent progress on these. This is based on our recent works with Betsy Stovall (at University of Wisconsin Madison).

Virtual commutative algebra seminar

Friday, 10/03/23, 6.30 pm

Venue: meet.google.com/ibs-zwea-xqr

Host: J. K. Verma

Speaker: Cheng Meng

Affiliation: Purdue University, West Lafayette, IN, USA

Title:  Multiplicities in flat local extensions

Abstract:  We introduce the notion of strongly Lech-independent ideals as a generalization of Lech-independent ideals defined by Lech and Hanes, and use this notion to derive inequalities on multiplicities of ideals. In particular we prove that if (R,m) and (S,n) are Noetherian local rings of the same dimension, S is a flat local extension of R,and up to completion S is standard graded over a field and I=mS is homogeneous, then the multiplicity of R is no greater than that of S.