- Time:
- 2:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar

Date & Time : 2nd April, 2pm

Venue: Ramanujan Hall

Speaker: Arghya Pramanik

title: Tropical Brill-Noether Theory.

Abstract: Over the last decade, a Brill-Noether theory for tropical curves

analogous to the corresponding theory for algebraic curves has taken

shape.

This was discussed by Ashwin Deopurkar in the first few

CACAAG talks. I will sketch the proof of the nonexistence part of the

Brill-Noether theorem for tropical curves. This is based on the paper ``A

tropical proof of the Brill-Noether Theorem'' by Cools,Draisma,Payne and

Robeva.

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

speaker: H. Ananthnarayan

Venue: MA 215

Date:April 3

Time: 11.30-1.00

Title: Monomial Basis of a Quotient Ring

Abstract: A polynomial ring S over a field k has a basis consisting of

monomials. Given a quotient ring R of S, one would like to identify the

monomials whose images form a k-basis of R. We will discuss the ideas of a

monomial order, and initial ideals, leading to Groebner basis, which help

answer this question.

- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium

Date & Time: 4th April, 2018 at 4pm

Venue: Ramanujan Hall

Speaker: Manoj Gopalkrishnan

Title: Imagining how a cell thinks: The design of reaction network schemes

that do machine learning

Abstract: A living cell responds in sophisticated ways to its environment.

Such behavior is all the more remarkable when one considers that a cell is

a bag of molecules. A detailed algorithmic explanation is required for how

a network of chemical reactions can produce sophisticated behavior. Several

previous works have shown that reaction networks are computationally

universal and can, in principle, implement any algorithm. The problem is

that these constructions have not mapped well onto biological reality, have

made wasteful use of the computational potential of the native dynamics of

reaction networks, and have not made any contact with statistical

mechanics. We seek to address these problems.

We find that the mathematical structure of reaction networks is

particularly well suited to implementing modern machine learning

algorithms. We describe a new reaction network scheme for solving a large

class of statistical problems including the problem of how a cell would

infer its environment from receptor-ligand bindings. Specificially we show

how reaction networks can implement information projection, and

consequently a generalized Expectation-Maximization algorithm, to solve

maximum likelihood estimation problems in partially-observed exponential

families on categorical data. Our scheme can be thought of as an

algorithmic interpretation of E. T. Jaynes's vision of statistical

mechanics as statistical inference.

- Time:
- 2:00pm - 3:30pm
- Location:
- Room No. 105, Department of Mathematics
- Description:
- PDE seminar

Date and Time: April 5, Thursday, 2-3:30 p.m.

Venue: Room 105, Mathematics Department

Title: Control of infinite dimensional linear systems

Speaker: Dr. Debanjana Mitra,

Abstract: First, we recall semigroup theory. Using this, we study the

controllability and stabilizability of linear partial differential

equations. In details, th

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

Title: Galois Coverings of Schreier Graphs

Speaker: Asif Shaikh (R A Podar College of Commerce and Economics)

Date-Time: Monday, April 9 2018, 11 AM to 12.30 PM.

Venue: Ramanujan Hall

Abstract: Attached.

- Time:
- 2:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar

Date & Time : 9th April, 2:15pm

Venue: Ramanujan Hall

Speaker: Saurav Bhaumik

title: Voisin's proof of the Green's Conjecture

Abstract: We will give a rough idea of Voisin's proof of the Green's

Conjecture in the even genus case.

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

Speaker: Sachin Garg (MSc 2nd Year)

Date & Time : 11th April 2018 at 4:00 PM

Venue: Ramanujan Hall.

Title: Multiplicative Weights Update

Abstract: Problem at hand: Suppose you have the choice of taking one of the

"n" decisions every day which will consequently put you to certain loss

which is not known apriori

What shall you do to "*minimize*" the loss?

Let's meet and concrete out a strategy this Wednesday at Popular Talk.

- Time:
- 2:00pm - 3:30pm
- Location:
- Room No. 105, Department of Mathematics
- Description:
- PDE seminar

Date and Time: April 12, Thursday, 2-3:30 p.m.

Venue: Room 105, Mathematics Department

Title: Control of infinite dimensional linear systems

Speaker: Debanjana Mitra,

Abstract: In the continuation of the lecture on 5th April, we complete the

discussion on semigroup theory. Using this, we study the controllability

and stabilizability of linear partial differential equations. In details,

the control of transport, heat and wave equations will be discussed.

- Time:
- 2:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar

Date & Time : 16th April, 2:15pm

Venue: Ramanujan Hall

Speaker: Sudarshan Gurjar

Topic: Vector bundles on Compact Riemann Surfaces

Abstract: Holomorphic vector bundles on compact Riemann surfaces and its

other avatar, namely algebraic vector bundles on smooth, complex

projective curves has a long and rich history with important contributions

by the Indian Algebraic Geometry school. I will introduce this subject

with special focus on bundles which come from representations of the

fundamental group of the surface. Much of the talk will be accessible to

Ph.D students.

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

Venue: MA 215

Date and time: Tuesday, 11.30 am-1 pm.

Speaker: H. Ananthnarayan

Title: Initial ideals and applications

Abstract: In the previous talk, we saw that given an ideal I in a

polynomial ring R, the monomials not in the initial ideal of I form a

basis of R/I. In this talk, we will see further examples of how to use the

initial ideal of I to get more information about I (or R/I).

- Time:
- 2:00pm - 3:30pm
- Location:
- Room No. 105, Department of Mathematics
- Description:
- PDE seminar

Date and Time: April 19, Thursday, 2-3:30 p.m.

Venue: Room 105, Mathematics Department

Title: Control of infinite dimensional linear systems

Speaker: Debanjana Mitra

Abstract: We continue the discussion of the asymptotic behavior of a C_0

semigroup. Then, the different notions of controllability of a linear

system in infinite dimension will be introduced in an abstract set up. For

example, we study the heat equation in details.

- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Title: Deep Inside Data in Dimensions One, Two, Three, ... , Infinity

Speaker: Prof. Probal Chaudhuri

Theoretical Statistics and Mathematics Unit

Indian Statistical Institute, Kolkata

Abstract: Prof. Chaudhuri has not given the abstract to keep the matter a

little mysterious!!

Date: 19/04/2018 Time: 2:30 pm to 3:30 pm Venue: Ramanujan Hall

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

Date & Time : 23rd April, 2018 Monday at 3pm.

Speaker: Prof. Kalyan B. Sinha, Jawharlal Nehru Centre for Advanced Scientific Research, Bangalore and IISc Bangalore.

Venue: Ramanujan Hall

Title : Trace Formulas in Operator Theory

Abstract ; The celebrated Helton-Howe trace formula for hyponormal

operators is derived as a consequence of Krein's trace formula .

In many situation trace is a 'special' non-commutative integral of

'operator-functions ' and the said formula relates the non-commutative

integral with the 'volume Lebegue integral' ( in the usual

commutative sense ) .

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium

Speaker: Prof. Parthanil Roy

Stat-Math Unit, ISI Bangalore

Date and Time: Tuesday 24th April, 2018; 4 p.m. to 5 p.m.

Venue: Ramanujan Hall

Title: Branching Random Walks: Two Conjectures, Two Theorems and a Question

Abstract: Branching random walk arises naturally in mathematical biology,

statistical physics and probability theory. Roughly speaking, it models a

system of growing particles or organisms that invades an environment in a

systematic fashion. Two famous statistical physicists (Eric Brunet and

Bernard Derrida) made conjectures about the long run configurations of

positions of particles in a branching random walk, and asked an open

question in their seminal work in 2011. Their question was answered

positively by Maillard (2013), and the conjectures were mathematically

proved recently by Madaule (2017) under certain conditions. In this talk,

we shall concentrate on the PhD thesis of Ayan Bhattacharya, who verified

Brunet-Derrida conjectures outside the Maillard-Madaule setup. If time

permits, some other recent related work will also be discussed.

This talk will be based on joint work with Ayan Bhattcharya and Rajat

Subhra Hazra. The papers are available in https://arxiv.org/abs/1411.5646

and https://arxiv.org/abs/1601.01656.

- Time:
- 2:00pm - 3:30pm
- Location:
- Room No. 105, Department of Mathematics
- Description:
- PDE seminar

Date and Time: April 26, Thursday, 2-3:30 p.m.

Venue: Room 105, Mathematics Department

Title: Control of infinite dimensional linear systems

Speaker: Debanjana Mitra,

Last talk of this seminar series for this semester.

Abstract: We discuss on feedback stabilizability of the infinite

dimensional system via the solution of Riccati equation. We touch upon

some interesting aspects of an optimal control problem. At the end, if

possible, we shall discuss on some interesting open problems in this

direction.

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Date and Time: 26th April, 4-5p.m

Venue: Ramanujan hall

Title: Mathematical Analysis of a Rigid Body in a Viscous Gas.

Speaker: Dr. Debayan Maity,

Affiliation: Postdoc, Institut de MathÃ©matiques de Bordeaux, France.

Abstract :

Fluid-structure interaction problems have been an important area of

research in recent years. Such systems occur, for instance, in

aerodynamics (flow around an aircraft), medicine (blood flow in vessels),

zoology (swimming of aquatic animals). The mathematical study of these

problems rises several challenges, the main one being due to the fact that

the domain filled by the fluid is one of the unknowns of the problem. In

this talk, we present some recent advances in the mathematical analysis of

some particulate flows. We show that a variety of such system admits a

global in time unique solution for small initial data in the $L^p$ - $L^q$

framework.