- Time:
- 2:00pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic

Geometry) seminar

Speaker: Ashwin Deopurkar

Title: Castulnuouvo's bound and Noether's theorem

Date & Time: Monday 5th March, 2pm

Venue: Room 115

- Time:
- 11:45am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Madhusudan Manjunath

Venue: Ramanujan Hall

Date & Time: Tuesday 6th March, 11:45am

Title: Riemann-Roch, Alexander Duality and Free Resolutions and a bit more.

Abstract: The Riemann-Roch theorem is fundamental to algebraic geometry.

In 2006, Baker and Norine discovered an analogue of the Riemann-Roch

theorem for graphs. In fact, this theorem is not a mere analogue but has

concrete relations with its algebro-geometric counterpart. Since its

conception this topic has been explored in different directions, two

significant directions are i. Connections to topics in discrete geometry

and commutative algebra ii. As a tool to studying linear series on

algebraic curves. We will provide a glimpse of these developments. Topics

in commutative algebra such as Alexander duality and minimal free

resolutions will make an appearance. This talk is based on

joint work with i. Omid Amini, ii. Bernd Sturmfels, ii. Frank-Olaf

Schreyer and John Wilmes. I gave a talk on this topic during my visit

here in August 2016, I hope to report on some progress since then.

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker : Dr. Koushik Ramachandran,

Post Doc., Oklahoma State University

Title : Topics in Random polynomials (see attached file for abstract)

Date and Time : Tuesday, 6th March, 4.00 pm - 5.00 pm

Venue : Ramanujan Hall

- Time:
- 2:15pm
- Location:
- Ramanujan Hall
- Description:
- CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic

Geometry) seminar

Speaker : Madhusudan Manjunath

Date & Time: Monday 12th March, 2:15pm

Venue: Ramanujan Hall

Title: An Introduction to Green's conjecture on Syzygies of Canonical Curve

- Time:
- 11:30am - 1:00pm
- Location:
- Room No. Department of Mathematics
- Description:
- Commutative algebra seminar

Tuesday 13 March 11.30-1.00

Venue: Room 215

Speaker: RV Gurjar

Title. Artin's approximation theorem and applications.

Abstract. We will indicate a proof of M. Artin's theorem on solutions

of analytic equations. Some examples of how this theorem

can be used to prove surprising results will be indicated.

- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:

Combinatorics Seminar

Date & Time: Wednesday, 14th March, at 11:30am

Venue: Ramanujan Hall

Title: Derandomizing Martingale Inequalities with Applications

to Hypergraph Vertex Covering

Speaker: Anand Srivastav

Department of Mathematics

Kiel University, Germany

Abstract: In this talk we present a derandomized form of the

famous martingale inequality of Kazuoki Azuma (1967), and the bounded

differences

inequality of Colin McDiarmid (1988) based on it. We further show how

to embed limited

independence in the concentration bounds of Angluin-Valiant, motivated by

work of Svante Janson (2003) on sums of partially dependent random variables

for the Chernov-Hoeffding inequality.

We then demonstrate that the derandomized McDiarmid-inequality

is an easy applicable and elegant frame work for derandomization in

presence of dependent

random variables. As an example we choose

the randomized algorithm

for the vertex cover (or hitting set) problem in hypergraphs due to

Mourad El Ouali,

Helena Fohlin and Anand Srivastav (2016), which for

hypergraphs with bounded vertex degree gives the presently best

approximation bounds.

This is joint work with Mayank.

- Time:
- 2:00pm - 3:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Analysis Seminar

Speaker: Mithun Bhowmick (Postdoc candidate)

Date & time: Wednesday 14th March, 2-3 pm

Venue: Ramanujan Hall

Title: Theorems of Ingham, Levinson and Paley-Wiener on certain Lie groups

Abstract: In this talk, our focus will be on certain classical results due

to Ingham, Levinson and Paley-Wiener which find optimal decay of the

Fourier transform of nonzero functions vanishing on `large sets'. We will

talk about these theorems in details and their generalisations on the $n$-

dimensional Euclidean space, the $n$-dimensional torus and certain

non-commutative Lie groups.

- Time:
- 2:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorial Aspects of Commutative

Algebra Algebraic Geometry (CACAAG) Seminar

Date & Time: Monday 19th March, 2pm.

Venue: Ramanujan Hall

Speakers: Neeraj and Madhu.

Title: Green's conjecture on Syzygies of Canonical Curves.

Abstract: We'll make a precise statement of Green's conjecture. We'll then

discuss commutative algebraic aspects of canonical curves: their Hilbert

series, Castelnuovo-Mumford regularity, Gorenstein property.

- Time:
- 10:00am - 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Analysis Seminar

Speaker: Monojit Bhattacharjee

Date & time: Tuesday 20th March, 10-11am

Venue: Ramanujan Hall

Title: ANALYTIC MODELS, DILATIONS, WANDERING SUBSPACES, AND INNER FUNCTIONS

Abstract: attached

- Time:
- 11:30am - 1:00pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Commutative Algebra Seminar

Venue: Room 215

Date & Time: 20th March Tuesday 11.30-1.00

Speaker: R. V. Gurjar

Title. Artin's approximation theorem and applications.

Abstract. We will indicate a proof of M. Artin's theorem on solutions

of analytic equations. Some examples of how this theorem

can be used to prove surprising results will be indicated.

- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker and Affiliation: Prof. Bikas Sinha,

Retired Professor of Statistics, Indian Statistical Institute, Kolkata

Date, Day and Time: 21st March 2018, Wednesday, 2:30 - 3:30 pm

Venue: Room 215

Tile of the talk : Oh Captain ! My Captain ?

Theme.....as is told by a participant in a recent presentation of this

talk.....

"When I first heard about such a "show", just the very idea of it

seemed to be

intriguing to me. I immediately made up my mind to witness it, given

an opportunity. Fortunately, the opportunity came soon and almost at

my next door.

It was an engaging experience overall - the fundamental concepts of

"odd - man - out" were exemplified in front of the young eyes almost

tangibly. The enactment that followed took us right to the birthplace

of probability – the games of chance and maximizing wins. The

presentation aspect was captivating – with your throwing questions,

salvaging the confounded youngsters and a continuous stream of wits –

how lively the session was! When you declared the “game” to be over…

the magical journey was short – was possibly my only complaint !!!

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Popular Lecture series in Mathematics

Date & Time: Wednesday 21st March at 4:00 PM

Venue: Ramanujan Hall

Speaker: U. K. Anandavardhanan

Title: Plus or minus? With connections to a 1000 year old unsolved problem

Abstract: This talk will discuss the question of fixing the sign of certain

arithmetic quantities and its connection to the so called congruent number

problem - one of the oldest open problems in mathematics.

- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker and Affiliation: Prof. Bikas Sinha, Retired Professor of

Statistics, Indian Statistical Institute, Kolkata

Date, Day and Time: 22nd March 2018, Thursday, 11:30 - 12:30 pm

Venue: Ramanujan Hall

Title : Reliability Estimation in Exponential Samples

This is a study on unbiased estimation of the reliability R(t) = exp(-t

/ lambda) based on a random sample of size n from an exponential population

with unknown mean lambda where t ( > 0 ) is given. We focus on unbiased

estimation of R(t) based on

(i) Complete Sample, (ii) Failure-Truncated Sample, (iii)

Time-truncated Sample.

Time permitting, we also discuss about the problem of Prediction of

Future Observation(s) Based on Exponential Samples.

- Time:
- 2:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic

Geometry) seminar

Speaker : Neeraj Kumar

Date & Time: Monday 26th March, 2pm

Venue: Ramanujan Hall

Title: Castelnuovo-Mumford Regularity of Canonical Curves.

- Time:
- 11:30am - 1:00pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Commutative algebra seminar

Tuesday 27th March 11.30-1.00

Venue: Room 215

Speaker: Madhusudan Manjunath

Title: Groebner bases of Toric Ideals.

Abstract: This is the first of two lectures where we'll cover Groebner

bases of toric ideals. We start with an introduction to toric ideals and

then study their Grobener bases. Our main goal will be a theorem of Bernd

Sturmfels from 1991 that relates (certain) initial ideals of toric ideals

to regular triangulations of an associated point configuration. The

lectures are based on Chapters 4 and 8 of the book ``Groebner Bases and

Convex Polytopes'' by Sturmfels.

- Time:
- 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Topology Seminar

Speaker: Samir Shukla (ISI Bangalore)

Date & Time: Tuesday, 27th March at 3:30 PM.

Venue: Ramanujan Hall

Abstract and title are attached.

- Time:
- 4:00pm
- Description:
- Department Colloquium

Speaker: Vamsi Pingali (Indian Institute of Science, Bengaluru)

Title : An extension of a theorem of Nori to Gauduchon astheno-Kahler

manifolds

Date and Time: 4:00 p.m., Wednesday, March 28, 2018

Abstract : Nori proved that a vector bundle on a projective variety

satisfies a polynomial equation with integral coefficients if and only if

its pullback to a finite cover is trivial. I shall talk about an extension

of this result to Gauduchon astheno-Kahler manifolds. This is joint work

with Indranil Biswas.

- Time:
- 11:00am - 12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorics Seminar

Title: Primes in Sumsets and Sumsets in Primes

Speaker: Gyan Prakash, HRI

Date-Time: Thursday, March 29 2018, 11 AM to 12.30 PM.

Venue: Ramanujan Hall

Abstract: Attached.

- Time:
- 4:00pm
- Location:
- Room No. 216, Department of Mathematics
- Description:
- Student Seminar

Title: An example which motivates why we need line bundles.

Speaker: Soumyadip Thandar

Abstract: This will be a motivational seminar about the importance of line

bundles( ie, vector bundles of rank 1). Giving a vector bundle of rank k

over some space is equivalent to give some data, such as an open cover for

the space, and a collection of maps from the intersections of these open

sets to Gl(k,C). We will first construct CP^n by gluing (n+1) copies of

C^n. We will then construct a special line bundle, called O(1), over CP^n ,

which possesses global sections. The main goal will be to prove that giving

a morphism from X to CP^n is equivalent to give a line bundle over X and

(n+1) sections which do not vanish simultaneously.

Time and Venue: Friday, 30th March, 4pm, Room 216