2pm» Ashwin Deopurkar- 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